diff --git "a/data/dm_maths/full_data_1/11182_11255.jsonl" "b/data/dm_maths/full_data_1/11182_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/11182_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is -91 plus -14.61?\nAnswer: -105.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) -10 (c) 0.1 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - n = 4*n + 48, 3*u + 4*n - 49 = 0. Calculate the greatest common factor of 2 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (-35)\/5)\/((-2)\/(-2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z**(-1\/3)\/z*z*z*z)\/(z\/(z\/z**6*z*z)))\/(z**(1\/9)\/(z**(1\/3)\/z)))\/((z**1)**(-38))**(-45) assuming z is positive.\nAnswer: z**(-15400\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 547577271 to the power of 1\/3, to the nearest integer?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/((-9)\/2))\/(105\/(-1890)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-378)\/9 - 2\/(-4)*-6. Let o(r) = 3*r + 19. Let k be o(-5). Is 4 a factor of (-1 - i\/k) + 27\/36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 360 and 1133316.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*z - 88*z + 285*z - 99*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*u + 2*w + 8, 2*w = 2*u - 4. Let b be 3*-6*u\/(-18). Suppose b*x - 6 = 6. Solve x*g = -g + 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (10 - (-5033)\/(-420)) + 1 and -9\/4.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 609*z**3 + 9*z**2 + 3*z - 2*z + 6*z**2 + z**2 - 14*z**2 - 2 as s + b*z**3 + w*z + t*z**2 and give b.\nAnswer: 609","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - n**3 - 2*n)*(n**2 + 3*n**2 + 10*n**2) + 0*n**5 + 0*n**5 - n**5.\nAnswer: -15*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14f6 + 1?\nAnswer: -14f5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 179930857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*d + 35*d - 44*d + 6*d - 125.\nAnswer: 2*d - 125","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 6)*(2*r**4 + 0*r**4 - 3*r**4) - 71*r**3 + 66*r**3 + 3*r**2 + 356*r**4 - 118*r**4.\nAnswer: 236*r**4 - 5*r**3 + 3*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -51352, -205514, -462452, -822166, -1284656, -1849922?\n\"Answer: -51388*s**2 + 2*s + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7826 and 494.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24\/(600\/22625) - 7*1 is divided by 75.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2230927661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 5\/15*3. Let a = 0.6 + -2.6. What is the third biggest value in a, -9, k?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.21, 161, 0, 5, 2\/7, 3 in descending order.\nAnswer: 161, 5, 3, 2\/7, 0.21, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -10. Let f be -1*p*(-2)\/4. Let q(a) = 2*a - 8. Let v be q(2). Put -3, -1, v, f in descending order.\nAnswer: f, -1, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**5\/2 + 980*y**4 - 13685*y**3\/2 + 13675*y**2 - 7812*y = 0. Calculate y.\nAnswer: 0, 1, 2, 4, 1953","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 5*u + 2. Let s be r(3). Let o be (6\/(-165))\/((-5)\/(-125)*-5). Let g = -4 + 2. Which is the smallest value? (a) g (b) s (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(4 + j - 4) - 10 + 11 + 0*j + 2*j.\nAnswer: 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-10)\/(-9)) + 0\/(30\/(-6)).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -327322108 - -327322395.0000464. Let w = u + -287. What is w rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -250 by -2.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -17.9999915. What is h rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 18. Let f(u) = 8*u - 22. What is the lowest common multiple of f(4) and n?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2 + 41*h**3 - 12*h**3 - 22 + 3*h**2. Let x(u) = 15*u**3 + 2*u**2 - 11. Let a(w) = -2*o(w) + 5*x(w). Differentiate a(p) with respect to p.\nAnswer: 51*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -64027 + 370?\nAnswer: -63437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -5*o**3 + 7. Let g be 1\/(100\/34 - 3). Let u(a) = 14*a**3 - 20. Let d(m) = g*q(m) - 6*u(m). Let k(t) = -t**3 + 2*t**2 + 1. Give 2*d(p) - k(p).\nAnswer: 3*p**3 - 2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*a + 13 + 28 = 0, 3*d = -3*a + 3. Solve -d*z - 19 = 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 318882090.\nAnswer: 2, 3, 5, 17, 331, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19666, 39317, 58968, 78619, 98270, 117921?\nAnswer: 137572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*c - 22*c - 24 = 0. Suppose 0 = 2*i + c*i. Factor -2\/5*r**3 + i + 0*r**2 + 0*r**4 + 1\/5*r + 1\/5*r**5.\nAnswer: r*(r - 1)**2*(r + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 992330187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26290375?\nAnswer: 5, 210323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00095107 rounded to 5 dps?\nAnswer: -0.00095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20427763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i - 4. Let o be a(-4). Let m(h) = h**3 + h**2 + h + 8. Give m(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - l**2 - 16*l - 30. What is the tens digit of h(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.23 - -0.22. Sort 0, 5, l, -3.\nAnswer: -3, l, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-16)\/18*-778*9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -1042*k. Let p(m) = -115*m. Give j(p(z)).\nAnswer: 119830*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6613.919kg?\nAnswer: 6613919000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 229.\nAnswer: 91.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 5*q - 5*s + 30 = 0, -q - 5*s = -18. Solve m - 12 = 5*m - 2*w, q*w - 7 = -5*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 0, -5 in decreasing order.\nAnswer: 5, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 4 (c) -2 (d) 0.2721\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 13.6. Let o = 0 + 1. Let d = u - o. What is the third biggest value in -5, 2\/7, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (3 + -10 - (0 + -5)) + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + 22.2. Let t = 1.7 - c. Let r = t - 1.8. What is the nearest to 1 in -5\/2, -0.3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -0.185 (c) -40\/2937 (d) 0.3 (e) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -35 - -14. Let q = -37 - c. Is q\/40 + 1687\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v + 6*v + 41*v - 36*v - 3*v - v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**9\/1512 + z**6\/120 - z**3\/6 - 2*z. Let k(r) be the second derivative of s(r). Find the third derivative of k(g) wrt g.\nAnswer: -120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**10\/((((((f**(-5\/2)\/f)\/f)\/f)\/f)\/f)\/f))\/(f**(-2\/5))**(-28) assuming f is positive.\nAnswer: f**(73\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -x + 5, -3*x = 11*p - 13*p + 5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/7 (b) -6 (c) 4 (d) -4\/5 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/21 + (-6)\/(-6))*-7. Is 234\/(-12)*(2446\/x + 3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, -2, -3, 1\/2, 5\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 2 + 2)*(8*c**4 - 59461*c**2 + 61025*c**2 - 7*c**4).\nAnswer: c**5 + 1564*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of j**5\/20 - j**4\/6 - j**3\/6 + 75*j**2 - 8*j - 1. What is the units digit of l(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 - -30. Calculate the greatest common divisor of 2 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-19)\/(f\/(f*f\/((f**(-24)\/f)\/f*f))))\/(((f\/(f\/f**(-4\/11))*f)\/f*f)\/(f\/f**(-6\/11))) assuming f is positive.\nAnswer: f**(87\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 2*p**3\/3 + 3866. Let z(v) = 80*v**2 + v. Determine w(z(f)).\nAnswer: 12800*f**4 + 320*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68197?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -304*q**2 - 4861*q + 63. Determine c(-16).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/8 of a hour?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 200196 and 9960.\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4b3 (base 13) to base 16\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 0, -1\/17 in increasing order.\nAnswer: -3, -1, -1\/17, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17148, -17157, -17152, -17127, -17076, -16993, -16872?\nAnswer: -16707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 c when three letters picked without replacement from {c: 1, x: 5, v: 3, o: 3, y: 6}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 219 + -215. Suppose -a*x = -r - 2177 - 404, -3*x = -3*r - 1947. Is 7 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 7*z**2 - z. Let y(v) = v**3 + 2*v**2 - 4*v - 2. Suppose 0*n + 3*n - 9 = 0. Suppose x - 5 = 0, -a + n = 4*x - 14. Let r be y(a). Determine f(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.9 - 1. Let l be -5 + 1 - 2\/(-1). Let k be (4\/(-6) - l) + -2. Which is the smallest value? (a) k (b) 2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.62387kg in nanograms?\nAnswer: 96623870000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 - 9*v + 17. Let n(x) = 8*x**3 - 2*x**2 + 2*x - 1. Let p be n(1). Let s be b(p). Solve 4 = -2*l, -s*m - 4*l + 2*l = 19 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 12:43 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of 5*h**4\/12 - h**3\/6 + 3*h. Let i(r) = -r**2 - 4*r + 7. Let u be i(-5). Does 9 divide o(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 6*z - 26. Let k = 29 - 3. Let b = 46 - k. Solve -d + b = -z*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 10 + 35. Let z = 0.15 + -0.2. Let o = -3.1318 + 0.1318. What is the smallest value in g, o, z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -257 + 254. What is the third smallest value in o, 1\/9, -1\/5, 2\/17?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2 + 2 + 2*x**4 + (2*x**3 - 2 + 2)*(0*x - 2*x + 0*x) - 3*x**4 + x**4 + x**4 to y*x**4 + o*x**2 + q + w*x + r*x**3 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 87 + 484?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*a + 6 = -29*a. What is the third biggest value in -4, -1\/5, a, 22?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {b: 5, s: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 5 = 0, -4*c + 31*r + 248 = -46*r - 117 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 2. Let v be 0*((-20)\/(-8))\/(-5) + b. Factor 0*f - 8\/5 + 2\/5*f**v.\nAnswer: 2*(f - 2)*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from avfff. Give prob of sequence aff.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11314748503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -12167 (b) -1\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of w**6\/120 - w**5\/20 - w**4\/12 + w**3\/3 - 9*w**2. Suppose 0 = -2*r - 2*r + 16. What is the tens digit of d(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -15, 0 = -5*i + h - 323 + 1173. Let s = i + -1879\/11. Factor -6\/11*l + s - 2\/11*l**3 + 6\/11*l**2.\nAnswer: -2*(l - 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -0.3, 0.3, 1, -253?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 894 + -582. What is the highest common divisor of 192 and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -713*y + 698*y + 125175. What are the prime factors of y?\nAnswer: 5, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 3*z**2 - 2*z - 1. Let w be t(-3). Suppose 24 = p + w*p. Solve 0 = u + p*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 836628 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 159\/(-371) + (3025\/(-462))\/(-11).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 8*x**2 + 7*x + 13. Determine i(-7).\nAnswer: 356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47052 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -87*y - 167. Let o be r(-5). Calculate the highest common divisor of o and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4*(-6)\/3 - 3. Suppose x - 6*x + 10 = 0. Sort h, 0, x in increasing order.\nAnswer: 0, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1642 (b) -451 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -2414698?\nAnswer: 2414703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9716*y**2 + 1574*y - 214469238.\nAnswer: -19432*y + 1574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -531 + 1059\/2. Let l = 30.1 - 26.1. Sort 16, l, a, -0.5 in decreasing order.\nAnswer: 16, l, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 40 = -2*h - 3*h, -3*h - 15 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.141322008 - -0.14135. Round x to 6 decimal places.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*y - 18*y + 66*y.\nAnswer: 132*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-15))\/((-119)\/8330).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.908281 micrograms to milligrams.\nAnswer: 0.003908281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 424130 (base 6) to base 16.\nAnswer: 8736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - q + 6, -s = s + 4*q + 6. Suppose w = s*u + u - 10, w = -u. What is the units digit of 16 - -2*1\/u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 254\/6 - (-12)\/18. Let x = 22 + -52. Let y = x + t. What is the remainder when y is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*k - 12, -k + 8 = -3*k - 4*s. Let z(q) be the third derivative of -q**4\/24 + 2*q**3\/3 - 171*q**2. Calculate z(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-47 - 10140\/(-216))*-156?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1821252761 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1153426.\nAnswer: 2, 241, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the second derivative of l**3\/6 - 4*l**2 + l. Suppose -3*q = -q - 10. Suppose -2*o = -o - q. Calculate y(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 471 and 4401181?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229*q - 3880946*q**2 - 229*q.\nAnswer: -3880946*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4089 and 396?\nAnswer: 539748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71077, 71252, 71545, 71956?\nAnswer: 72485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*f + 55*f = 4*r, -3*r = -5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -z**4\/4 + 5*z**3\/3 + 7*z**2\/2 - 6*z - 87. Suppose a - 2 = 3. List the prime factors of g(a).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 2*n + 20 = 4*t, 2*n - 3*t = 7. Calculate the remainder when 45 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -4*i - 60, 3*p - 10*i - 50 = -8*i. What is the lowest common multiple of 48 and p?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/26 + (-657)\/(-468))*4. Solve l - 2*l + 11 = 2*q, -q = -m*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/6 (b) 2\/21 (c) -0.1 (d) -0.4 (e) -0.16 (f) 73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -9*b**2 - 14*b + 6. Let g(a) = 10*a**2 + 12*a - 5. Determine 5*g(n) + 4*u(n).\nAnswer: 14*n**2 + 4*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 42*y**2 + 132*y**2 + 19*y**2 + (-5*y + 2*y + 2*y)*(3*y - 3*y - 2*y).\nAnswer: 195*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -40 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 646 and 170?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 2, -2, -78, 13 in decreasing order.\nAnswer: 13, 2, 1, -2, -4, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -389 - -93372\nAnswer: 92983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10\/150*84)\/(1\/5). Suppose -w*a = -23*a. Let b(u) = -u**3 - 4*u**2 - 3*u + 3. Let o be b(-3). Solve o*n - 17 = f, a*n + 3*f = -3*n + 9 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3*w = 6, -2*n - 4*w - 7 = 1. Suppose -5*h - m + 23 = 0, 0 = h - 5*m - n + 11. Suppose -2*a + 4*a - 414 = h*y, 2*y = 10. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1986733 + -0.1985. What is x rounded to five decimal places?\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -621*u**2 + 348*u**2 - 1485*u**2.\nAnswer: -1758*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z + 12 + 9 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -62239*p - 334. Is d(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -c**4\/2 - 2*c**3\/3 + c**2\/2 - 2*c + 1. Let o be ((-6)\/(-9))\/((-1)\/3). Calculate q(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130)*1 + sqrt(130))*-5)\/(-3*sqrt(10)*2) + 5.\nAnswer: 5 + 5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2641 (base 8) in base 14?\nAnswer: 74d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -438, 3, 1\/7, 1, 0.1 in descending order.\nAnswer: 3, 1, 1\/7, 0.1, -438","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 1\/6 (b) 4 (c) -0.5 (d) -3\/4 (e) 802\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 8*x + 12. Let o be (-1)\/(110\/(-54) - -2). Let u be (-4)\/6*o\/(-2). What is the units digit of t(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + 4 + (4 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3, -11, -25, -39, -53, -67?\n\"Answer: -14*v + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (5 + (((sqrt(288) - (0 + sqrt(288))) + -1 - (1*sqrt(288) + -2)) + 5)*-3)**2.\nAnswer: -936*sqrt(2) + 2756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20102 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 58*q + 830. Give n(12).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/40 and 35\/596.\nAnswer: 5960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 439 is divided by 101?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gglk when four letters picked without replacement from {p: 1, g: 2, v: 3, l: 4, k: 4}?\nAnswer: 4\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + 3 + (-6 - -4). Solve -v*f - 52 = 9*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100211122 (base 3) to base 11.\nAnswer: -5430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -4*i. Let l(s) = -s - 165. What is z(l(o))?\nAnswer: 4*o + 660","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + (-6*(sqrt(84) - sqrt(84)*-1 - sqrt(84)))\/(sqrt(15)\/(sqrt(45)\/sqrt(9))))**2 + 1.\nAnswer: 1005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + 3 - (-8 + 19 + -7). Sort y, -1\/2, 1\/5, 5.1 in decreasing order.\nAnswer: 5.1, 1\/5, -1\/2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 725504*s**2 + 490*s + 49 wrt s?\nAnswer: 1451008","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 177.56*2\nAnswer: 355.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6903\/22 - 314. What is the common denominator of (-287)\/49 - (-2)\/(-4) and b?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 5, -5, 4, 14\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -10*p + 9*p + p - 10*p. Let w(l) be the second derivative of -l**4\/12 - 7*l. What is j(w(k))?\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -9.374.\nAnswer: -18.748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 6 + 4 = n, -5*n - c + 94 = 0. Suppose -o = 3*o - 140. Calculate the remainder when o is divided by n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a millennium in years?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.094*-265456.1.\nAnswer: -24952.8734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -7 + 0*b**3 + 0*b - 1\/4*b**4 + 0*b**2. Let f(r) = -18 - 3*r**3 + 18. What is -3*f(z) + 7*u(z)?\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*q + 3*q + 6. Suppose -5*n = -1 - 4. Calculate the least common multiple of q and n + 1 + 16\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3360263*v**3 - 9241130*v.\nAnswer: 20161578*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -172 - -175.028. Let q = 29366.972 + -29367. Let f = v + q. Which is the fourth biggest value? (a) f (b) 5 (c) -0.1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28911 - 2?\nAnswer: 28909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 23 = 3*k - 3*t, 2*t = -6. Suppose k = 5*g - 8. What is the third derivative of -o**6 - 3*o**3 + 3*o**2 + o**3 + 2*o**g wrt o?\nAnswer: -120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*z**2 - 4*z**6 - 8*z**2 - 2*z**6 + 10*z**6 wrt z.\nAnswer: 480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -c**9\/211680 - c**8\/8820 - c**7\/840 - c**6\/140 - 3*c**5\/20 - 24*c**2. Let y(t) be the third derivative of h(t). Factor y(l).\nAnswer: -2*(l + 2)*(l + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 128983?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4 + 4*((2*sqrt(171))**2 + sqrt(171)).\nAnswer: 12*sqrt(19) + 2742","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -m**3 - 185*m**2 - 74*m**2 - 9*m**6 - 6*m**3 + 4*m**6 wrt m.\nAnswer: -600*m**3 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1248, -5002, -11258, -20016, -31276, -45038?\n\"Answer: -1251*m**2 - m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 - 3010.\nAnswer: -2954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 - (11 + 0 + 0 - (-60 + 70))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 670846472 is divided by 18?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1125 + 1122. Put g, 5, 117 in descending order.\nAnswer: 117, 5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rsurruuuu. Give prob of sequence urrs.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 2*k - 1, 3*c + 1 = 5*k - k. Let h be (4\/c)\/(16\/(-24)). Put 4, h, -4 in increasing order.\nAnswer: -4, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 7:30 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 6:09 PM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30*28\/70 - -3357.\nAnswer: 3, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o\/o**(1\/3)*o*o)\/o)**(2\/15))**(-6) assuming o is positive.\nAnswer: o**(-32\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -852*v + 1704. Let f(o) = -o + 1. Calculate 1704*f(d) - q(d).\nAnswer: -852*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q**4 + 0*q**4 + 3*q**4)*(10 - 14 + 47) to the form t*q**4 + h*q**2 + d*q + r + b*q**3 and give t.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 8*x - 6. Calculate c(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57 and 146243?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2b7 + -3?\nAnswer: -2ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 60\/(-24)*43816\/(-20) a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**0)**(-5\/4)\/(l\/l**(-2\/7))**(-36) assuming l is positive.\nAnswer: l**(1261\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 21934 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 56250\/2543 > 22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/90 and 59\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 17456.\nAnswer: 17456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 320275 and 10583?\nAnswer: 6085225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((136\/2)\/(-4))\/(-1). Suppose -10*n - 14 = -l*n. Let m be 130\/(-39)*(n + 16\/(-5)). Let c(q) = -q - 3. What is c(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 smaller than 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6061, -12122, -18183, -24244, -30305?\n\"Answer: -6061*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + (-9 - -5))*(804\/84 - 11)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -108 - -108. Factor 7*r**4 + b*r**5 + r**3 - 8*r**2 + r**3 + 7*r**2 + 4*r**5.\nAnswer: r**2*(r + 1)**2*(4*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 108736?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -54 - -114. Suppose -3*z = -8*z + t. Suppose 2*j + z = 4*j. Let a(h) = -h**2 + 5*h + 8. Determine a(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 + -26. Suppose -b + 0 = -3*m. Sort m, -3, 4 in increasing order.\nAnswer: -3, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 869225 and 175?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 93 and 1023.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b + 41. Let p(c) = -2*c + 41. Suppose 4*x = r - 10, -8*r + 10*r = -12. What is x*l(f) + 5*p(f)?\nAnswer: -2*f + 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -90*w - 55. Let x(a) = -5*a - 3. Give 6*n(f) - 110*x(f).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 131*z**2 + 60*z + 481. List the prime factors of q(-12).\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1016908679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and 22113.73.\nAnswer: 663.4119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*j = 30, -7*j + 2*j - 40 = -4*n. What is the closest to 1 in 1, n, 0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 AM and 10:18 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5 = 0, -22*d - 474 = -5*n - 21*d. Solve -5*l = 3*u - 34, 0 = -99*u + n*u - 3*l + 27 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 202220102022 (base 3) to base 14\nAnswer: a9d41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 52558.34l in millilitres?\nAnswer: 52558340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-6*s + s + 4*s)*(-1 + 1 + 2*s) - 6*s**2 + 2*s**2 - 2*s**2 - 12*s + 12*s - s**2)*(-s + 2*s + s) as x*s**3 + p*s + a*s**2 + q and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 57 - 45 = 0. Sort -2, c, 2, -3 in increasing order.\nAnswer: -3, -2, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 44 in -0.2, -15, -2\/71?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*t = 14*t - 99*t + 2924 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 4*j + 1. Let y(x) = x**3 - 6*x**2 + 5*x - 3. Let n be y(5). Let a be l(n). Solve a*u = 8, -4*u = i - 4 - 7 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -162a0 (base 11) to base 2\nAnswer: -101100111000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tk when two letters picked without replacement from {r: 2, k: 5, b: 3, w: 6, t: 1}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 12228*j - 97819. What is m(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p. Suppose 4*j - 69 + 21 = -3*w, 57 = 5*w - j. Let z(x) = -6*x + 6. Let q(y) = 1. Let m(l) = w*q(l) - 2*z(l). Determine m(g(t)).\nAnswer: 24*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**2\/8 - 2449*a\/4 - 20383.\nAnswer: -(a + 34)*(3*a + 4796)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1185 + 1186. Let y(p) = p - 2. Let d be y(-2). Which is the second smallest value? (a) d (b) f (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 848 and 1166.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 118 = -5*g, 0 = -3*n - 2*g + 325 - 23. Let l(j) = 13 - 3*j + 2*j + 2*j. What is the remainder when n is divided by l(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (747\/3486)\/((15\/26)\/3*9\/(-15)).\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -1555?\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*a - 4*a - 5*a)*(518 + a - 245 + 3*a - 1089) to q*a**2 + r*a + v and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 1a7?\nAnswer: -1a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/45)\/(10\/(-500)*5)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-714)\/25*1315\/(-526). Factor 48*i + 36\/5 - 147\/5*i**3 + s*i**2.\nAnswer: -3*(i - 3)*(7*i + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.3? (a) -378\/11 (b) -2\/11 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-131*d + 37*d**3 + 131*d)*(2*d - 2*d + d) to j*d**4 + z*d**2 + l + w*d**3 + q*d and give j.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 892*f*y**4 + 37*f*y**2 + 425*f - 8*y**4 wrt y?\nAnswer: 21408*f*y - 192*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-3)*(-6)\/4. Suppose p*k = -3 + 23. Let l be 3 - 4*2\/(-4). Solve 6 = -2*h + 4*y, -l = h - k*y + 2*y for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 419093507 a multiple of 1957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36)\/(sqrt(3) + sqrt(48)))\/(1*(sqrt(6) + sqrt(48)\/sqrt(8)) + sqrt(6)))**2.\nAnswer: 2\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4933 less than 247?\nAnswer: -4686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.5598 rounded to 2 decimal places?\nAnswer: -5.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -12251*p - 268*p - 1156*p in the form m*p + s and give m.\nAnswer: -13675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 - 7*m**2 + 16. Let w be s(-7). Let o be w\/(-24) - (0 - (-2)\/6). Is (-1)\/o*-1 + 0 + 564 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.5, -13, -1\/28, 0.3, -5, 89\/51?\nAnswer: 89\/51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of -31*m**6\/120 - 7*m**5\/20 + 9*m**2. What is the third derivative of g(a) wrt a?\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117586 is divided by 23505?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1355160457 to the power of 1\/2, to the nearest integer?\nAnswer: 36813","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -5*a - 45, -8793*a + 8796*a + 34 = 4*k for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9849?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 305 = -18. What is the greatest common factor of g and 164?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 70*z - 552. Calculate r(60).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 21*q + 263. Let d(s) = -8*s - 88. Determine -8*d(k) - 3*n(k).\nAnswer: k - 85","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((-2 - 1) + (4 - -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (156\/21)\/(24245\/5595)\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*v - 60. Solve 0 = -3*o - o - v for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**2 - i - 2. Let j be m(2). Solve 0*b - 23 = -j*c - b, 0 = 5*b - 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + -25bd7?\nAnswer: -25bd7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - 557\/35)\/(27\/(-45)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -4 - (-7 + 18 + (-5 - -6))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/3)\/(2*7\/(-42))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 60*w + 260.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of l**4\/4 - l**3\/6 + 141*l**2 + 23*l. Let n be (4 + -2)\/2 - 2. Let x = 0 - n. Calculate b(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 360\/13 - 1505\/52. What is the closest to 2\/11 in u, -0.1, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/3)\/((-1)\/3). Suppose -r*w - w + 1911 = 0. Suppose p - 250 = w. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -17 - 5*u**2 - 2*u + 3*u**2 - 20 + 35. Let f be n(-2). Which is smaller: -0.2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4854)\/(-15) - (-18)\/(-30). Suppose -3*u + 148 = -f. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 519203949*m - 1223654793?\nAnswer: 519203949","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + 6\/(-3) + (0 - 0). Let u(m) = 20*m + 2. Let i be u(j). What is the greatest common divisor of i and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(243))**2 + 0 - -6*(-1 + sqrt(3))*3.\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8047261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 1\/2 (b) 3\/8 (c) -2 (d) -15 (e) -3 (f) -1 (g) 1.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**4 + w**2 + 1. Let l(a) = -5*a**4 - 16*a**2 - 3. Let z(p) = -6*h(p) - 2*l(p). What is the third derivative of z(x) wrt x?\nAnswer: 384*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-27)\/(-6))*-6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q + 3*j - 5, 0 = 3025*q - 3020*q - j - 21 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/2, -44, 302, 0, -1\/9, -1\/2, -1\/4?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 3*t**4\/4 - 13695*t**3\/4 - 435714*t**2 - 1701747*t - 1688040 = 0?\nAnswer: -120, -2, 4689","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of 1\/6*u**3 + 0*u + 129*u**2 + 1\/60*u**5 + 1\/12*u**4 + 0. What is w in q(w) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4421300332 (base 5) to base 6.\nAnswer: 540454154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -f**3\/9 + 10*f**2\/3 - 19*f\/3 - 409. Determine z, given that w(z) = 0.\nAnswer: 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -4*m**2 - 2*m + 1. Let a be i(1). Suppose -44*n + 39*n = 4*v - 37, -3*v = 3*n - 21. Put 4, -4, v, a in increasing order.\nAnswer: a, -4, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*d*d**(-22)))\/d)\/(d*d**(-17)))\/(d*d**(2\/19)*d**(-20)) assuming d is positive.\nAnswer: d**(1043\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -333, -667, -1001?\n\"Answer: -334*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5\/(m*m**(-1\/8)*m*m)*(((m\/m**(3\/5))\/m)\/m)\/(m\/(m\/(m\/(m*m**(-2))))))**11 assuming m is positive.\nAnswer: m**(-649\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y**2 - 11*y - 5. Let t(x) = 2*x**2 - 10*x - 4. Calculate -3*c(g) + 4*t(g).\nAnswer: -g**2 - 7*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a centimeter in millimeters?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*h**2 + 98*h**2 - 2*h - 59*h + 61*h - 152*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386861 is divided by 21492?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvv when three letters picked without replacement from vvvvvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 5*o - 6, g - 2*o + 12 = 0. Are g and -21 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4435 - 124*h**2 - 127*h**2 + 367*h**3 + 388*h**2 - 135*h**2 + 2*h wrt h.\nAnswer: 1101*h**2 + 4*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x + x + 4*x)*(3*x + x - 2*x)*(-4 - 3*x - 8 + 4*x).\nAnswer: -2*x**3 + 24*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.225 + -1.775. Let s = 130 - 67. Let p = 62.8 - s. Which is the nearest to -0.1? (a) 4 (b) p (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q\/(q**(-2\/3)\/q)))*q)**(-2\/33)*q\/q**1*q*q**(-1)*q**(-1)\/(q**(-4)*q)*(q*q*q**(-4)\/q)\/q**(-2\/3) assuming q is positive.\nAnswer: q**(-5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 + 820*v - 33620.\nAnswer: -5*(v - 82)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 1268054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 3.7, 6, -5, -0.0716?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4126 - 12161. List the prime factors of g.\nAnswer: 61, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 5:35 PM?\nAnswer: 7:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03299918 rounded to three decimal places?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10129 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 146 + -146.08. Let w = -5.08 - i. What is the nearest to 0.1 in 0.08, w, 3?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6458 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37.82 + 1.\nAnswer: 38.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31510 is divided by 442.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -24.412 and 3.\nAnswer: -73.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.9, 3 in ascending order.\nAnswer: -0.5, 0.9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*l = b + 64, -2*l + 8 = 0. Let w = b - -36. Calculate the remainder when 38 is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 456713?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8*u**3*v + 39*u**3 - 4458*u**2*v**4 - 2*u**2 + 481 wrt v?\nAnswer: 8*u**3 - 17832*u**2*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10100101010010110011100 (base 2) in base 4?\nAnswer: -110222112130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, r: 1, k: 1, t: 1, j: 2, z: 2}. What is prob of sequence rk?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/12*(-156)\/26?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -283665 and -5.\nAnswer: -283670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 919455?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 133\/11766 and -13\/150?\nAnswer: 294150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5383451, -5383458, -5383467, -5383478, -5383491, -5383506, -5383523?\n\"Answer: -t**2 - 4*t - 5383446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/10*(-1)\/(-3)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4260 = 95*a + 116*a + 2*a for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -18008 divided by 971\nAnswer: -18008\/971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -6*z**2 + z + 4. Let q(v) = 7*v**2 - v - 5. Let p = -702 - -698. Determine p*q(c) - 5*s(c).\nAnswer: 2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 113042099851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, p: 9, d: 7, z: 1}. What is prob of picking 2 i and 1 z?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 481 + 4?\nAnswer: 485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -m**4\/8 - 5*m**3\/3 - 7*m**2. Let v be j(-4). Sort v, -5, -1.\nAnswer: -5, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54385, -201494, -446667, -789898, -1231181?\nAnswer: -1770510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 18 - 18 = -2*o, -5*o = -4*b - 103. Calculate the greatest common divisor of o and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36 + (15 - (14 + -11 + 6))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**2 + 2*v**2 - 3*v**2 + (0*v + 0*v + 2 + 2*v)*(553 + 972 - 28 - v).\nAnswer: -v**2 + 2992*v + 2994","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 358849799 to the power of 1\/2, to the nearest integer?\nAnswer: 18943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 80296\/(-20)*(-750)\/100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/4)\/((-384)\/(-1280))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - 5*t**2 + t**2)*(405*t - 269*t**3 - 405*t + 1899*t**3).\nAnswer: -3260*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 34012*j + 40638 wrt j.\nAnswer: 34012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c**2 + 2*c**2 + 15*c**3 + 5*c**3 + 6*c**2.\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((q + 3*q - q)*(-q**2 - 8 + 8) + 3 + 2*q**3 - 3)*(-26 + 17 - 11) to g + r*q + b*q**2 + o*q**3 and give o.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*m = 2*k - 20*m + 14, -3*k + 2*m - 5 = 0. Let c(w) = w - 2. Let f be c(5). Sort k, f, -2.\nAnswer: k, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 9*i + 27. Let n(c) = c + 1. Let q(m) = 18*n(m) - p(m). Let v(d) = -d**2 + 10. Let g be v(0). Is 27 a factor of q(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33228527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z\/(z\/z**25))*z)**7*z**22\/z**(-1\/7))**(-46) assuming z is positive.\nAnswer: z**(42458\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -241?\nAnswer: -482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 - 50. Let k be 3358\/6 - 3\/(-9). Let c be 380\/k + 3\/(-7). What is the nearest to 1 in c, z, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70 + -286. Let x be (0 + 2\/12)\/((-48)\/p). Which is the second biggest value? (a) -8\/29 (b) x (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -67, -4\/93, -2?\nAnswer: -4\/93","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**2*x)\/x)\/x)**(-12)*(x*x\/x**(-5)*x)\/(x\/x**9) assuming x is positive.\nAnswer: x**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57415252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*(-3)\/(4*(-108)\/48))\/((-430)\/(-36)).\nAnswer: 6\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x + 9. Let t(c) = c**3 + c**2 - c. Let m be t(1). What is the remainder when n(-5) is divided by -1 + 3 - (m - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 25 + 50 = 5*y, -5*y - 4*h = -50. Solve -16*t = -y*t - 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17148746 divided by -2?\nAnswer: 8574373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/18)\/((268\/1809)\/(4\/18)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -40 + -94460?\nAnswer: -94500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1933687 is divided by 214.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 - 16. Suppose 3*b - p - 19 = -j, -4*b + 4*p = -28. Let g = 9 - b. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ta when two letters picked without replacement from mtmrtmbttaab.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/11 (b) -5 (c) 4 (d) 0.35264\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 15, c: 5}. Give prob of picking 2 t and 2 c.\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 96\/19 (b) 1\/2 (c) -1\/4 (d) -4 (e) 16\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 20*q - 6. Let b(l) = 7*l + 3. Let d(h) = -3*b(h) + w(h). Determine d(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2725523 is divided by 60?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 358453 to the power of 1\/2, to the nearest integer?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -0.3 (b) -15\/7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2037 bigger than -174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 6*o. Let r(c) = 416560*c - 1. Calculate d(r(p)).\nAnswer: 2499360*p - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1739, 1795, 1851, 1907, 1963, 2019?\nAnswer: 2075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 127673088 and 26958.\nAnswer: 127673088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 755 bigger than 717?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 9, 2826, 6 in decreasing order.\nAnswer: 2826, 9, 6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*d - 1 - 7*d + 20*d + 364*d**2.\nAnswer: 364*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7101100 rounded to the nearest 100000?\nAnswer: 7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*(-2 + (-369)\/6). Suppose -2*a - 2*a + 5*s - 1608 = 0, 0 = -a - 4*s - h. Let r = -270 - a. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 483 and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.60137317 rounded to one dp?\nAnswer: -6.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 314903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -161, -326, -481, -626, -761?\nAnswer: -886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2 - 1082*i + 16 - 6 + 1124*i wrt i?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -4\/9, 2\/209, -4, -2\/9, -21?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 15410*g + 15411*g + 11 - 26 = 0, -33 = -5*s - 2*g for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -5*l**2 - 5*l + 5. Suppose -2*k + 0 + 20 = 2*a, 2*k = 3*a - 5. Let u(r) = 5*r**2 + 4*r - 6. Let b(n) = k*u(n) + 6*f(n). Find z, given that b(z) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-4)*w\/(w\/w**(3\/8)))\/(w**(1\/4)*w*w**4*w))\/(w**7*w**(-2\/3)*w*(w**7\/w)\/((w**(-2\/3)*w*w)\/w)) assuming w is positive.\nAnswer: w**(-111\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - 946\/(-77) - (-264)\/399.\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(4\/5)*t)*t**6*t)\/((t**8\/t*t*t)\/(t*t**(-11\/4))) assuming t is positive.\nAnswer: t**(-91\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, r: 1, p: 5}. Give prob of sequence prl.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.21 in -47.9, -0.3, -0.4, 2, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1426569232.\nAnswer: 2, 11, 139, 58313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1572*z - 452*z + 53612 = 38*z for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 17*y**2 + 141*y + 2. What is the tens digit of d(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -6*t**2 + 4*t. Determine h(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 202?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4171723 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 9*q + 30 = 14*q, 5*h - 4*q = 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -8287231839.402 + -0.9\nAnswer: -8287231840.302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 equal to 193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 151379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 - (11 + (-57 - -20))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 + (-136086)\/(-2960) - ((-174265)\/(-200))\/(-13)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202133 is divided by 201730.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 7\/11, -0.4, 3\/2, 5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 30 = -3*t - 2*t, -10 = 5*t - o. Let h(v) = -13*v**2 - 1. Let l be h(t). Let w = l + 26. Is w a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110651 is divided by 11064.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 72496\/(-591)*628\/(-471)*(-9)\/16\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 2*d**2 + 12*d + 8. Suppose 7 = -3*j + 4*y, 3*j + y = -5 - 12. What are the prime factors of g(j)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14868941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -6459, -1 in descending order.\nAnswer: -3\/5, -1, -6459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 3, e: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qe when two letters picked without replacement from eqneqengegeeq?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -i - 74, -33*i + 26*i - y = 302. Let j = -7218\/25 + 2874139\/9950. What is the common denominator of j and i?\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 196772, 393545, 590318, 787091, 983864, 1180637?\nAnswer: 1377410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -43, -86, -191, -358, -587, -878, -1231?\n\"Answer: -31*r**2 + 50*r - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + (27\/9)\/(-3). Suppose 28 - 3 = 5*b. Suppose -l + 3*j + 179 = -0*l, i*j + 939 = b*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/10)\/(684\/(-23940)).\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence odo when three letters picked without replacement from duuuunoono?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -6*f + 8 + 7 - 11 + 2*f**2. Let p be u(4). Let h(k) = k**2 - 8*k - 15. Is h(p) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/9)\/((-68)\/102)*-6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2 + 217 = 0. Suppose -95 = 4*d - 3*u + s, -3*d - 97 = 5*u. Let o = d - -77. What are the prime factors of o?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4\/3)*s*s\/(s*(s**2*s)\/s*s))\/(s**(1\/8))**(13\/3) assuming s is positive.\nAnswer: s**(-31\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 0 + 1 + 2*d + (3 - 3 + 2)*(3*d + 2*d - 3*d) as y + k*d and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.073 (b) 100 (c) 3\/7 (d) -105 (e) 4 (f) 0.2 (g) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-3))\/(12\/54). Solve f + 0*f = -c for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b**3 - 8*b**2 - 175*b + 840. Let n be y(5). Solve -22*m + 7 + n = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*w + 9 = 0. Suppose -2*t + 6 - 2 = 0. Let h = 6 + -2. Put h, t, w in decreasing order.\nAnswer: h, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -18050 - 169*d + 2*d**2 + 9334 + 17*d + 9556 = 0. What is d?\nAnswer: 6, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 11. Let t be ((-16)\/(-10))\/(s\/87500). What is t rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/549 and 23\/315.\nAnswer: 19215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126411 is divided by 494.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 3*j - 39855 + 39884, 7 = -2*v - 5*j for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2\/13, -10, -37 in descending order.\nAnswer: 1, 2\/13, -10, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 14972696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqkqqqqqqqkkkq. What is prob of picking 3 q?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -91188c - -2d?\nAnswer: -91185d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 476?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 952 is divided by 30.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 9. Let n = -52874 + 52874. Factor -3\/4*w**d + 1\/2*w + n.\nAnswer: -w*(3*w - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39055 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 37*z**2 - 65*z - 173. What is the smallest common multiple of u(35) and 412?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33893068 a multiple of 484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -y - 27. Let n(h) = 6*h**3 + 3*h**2 - 1. Let f(o) = -o**3 - o**2 + 1. Calculate y*f(q) + n(q).\nAnswer: 3*q**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17451*z**2 + 2*z + 109327 wrt z?\nAnswer: -34902*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -421*v**3 - 361*v**2 + 1751105*v?\nAnswer: -2526*v - 722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j**2 - 2*j**2 - j**2 - 8 to the form b + x*j + i*j**2 and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 16 = 8. Suppose -4*q - 2*t + 467 = -5*t, j*q - 5*t = 469. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 171 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-25)\/10)\/(-5)*1*-2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -12a?\nAnswer: 12c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 249391?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11705739.\nAnswer: 3, 53, 83, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.2 - -0.2. Let s(c) be the third derivative of -c**5\/60 + 5*c**4\/24 - c**3\/3 + 2*c**2. Let b be s(3). Put -0.5, b, d in descending order.\nAnswer: b, -0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**2 + 0*z**2 - 3*z**2)*(0*z**3 + 3*z**3 - 6*z**3) + z**5 + 3*z**5 - z**5.\nAnswer: -3*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i - i - i**2 + 1 - i. Let o(f) = -1. Determine -2*m(j) - 2*o(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 11 - 9)*(-4*l + 4*l**2 + 4*l) as b*l**2 + a*l + r and give b.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10335*i**4 - 2*i**2 + 3*i**3 + 21477*i**4 + 4*i - 10836*i**4 to the form z + p*i**4 + k*i**3 + d*i + o*i**2 and give p.\nAnswer: 306","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = l - r, -r + 10 = l + r. Let v = 3 - 0. Suppose l*k = v*k + 61. What are the prime factors of k?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence esee when four letters picked without replacement from {s: 12, e: 7}?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 430111197 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 26 + -6 + 5 + 68 + -69?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 79\/96 + -5\/32. Let a = -49.1 - -44. Let p = 0.1 + a. What is the biggest value in p, m, 2\/13?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (-7)\/(35\/(-10)). Suppose -z = -2*d + d. Factor 0*x**2 + 2\/5*x - 2\/5*x**d + 0.\nAnswer: -2*x*(x - 1)*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/4077 in -4, 4, 2\/9, -1, -17?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35948?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 664 and 25 + (-47955)\/(-60) + 1\/(-4) - -6.\nAnswer: 3320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (108\/(-1))\/(((-152766)\/164)\/207).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/3*i**2 - 8\/3*i - 2\/9*i**3 - 16\/9 = 0. Calculate i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (7\/(-21))\/((-4)\/68).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (13 - 4) + 7 + -8. Let f(v) be the third derivative of 0 + v**2 + 0*v - 5\/3*v**3 + 1\/24*v**4. Calculate f(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108 and 39516?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, c: 1, t: 1, o: 2, z: 2}. What is prob of sequence zo?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1324601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*h + 2900 = 0, 2*h - 8648 = -20*i + 14*i. Is 40 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 - -14. Suppose 60 = 6*p - 0*p. Calculate the highest common divisor of p and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -91, -668, -1479, -2536, -3851, -5436, -7303, -9464?\nAnswer: -11931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 303.00141 + -303. What is v rounded to four dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.047 (b) 2\/17 (c) -4.3601\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23915181659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 314, 1161, 2540, 4451, 6894, 9869?\n\"Answer: 266*d**2 + 49*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s = 212 - 268. Let o(v) = -2*v**3 - 9*v**2 - 5*v - 2. Let n be o(s). What is the biggest value in -3\/7, n, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 11 + 192 = 43. Solve 2*p = t - 5, 0 = -18*p + 23*p - 4*t + g for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*a - 216*a + 1480 = 8356 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4284592991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -5*h + 2, 1 + 6 = -2*d - 5*h. Is (5517 - 63\/d) + 3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 10*f - 4. What is b(2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17*t**2*w*z + 416*t**2*z - t*z - 5*w**2*z wrt w?\nAnswer: -17*t**2*z - 10*w*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11919934.\nAnswer: 2, 13, 23, 31, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -9, 713, -2, 5 in decreasing order.\nAnswer: 713, 5, 0, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-4170)\/(-6390) - (-22)\/(-33)).\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 + 0 - 4)*(4 + 0 + 3) + 0 + 6 - 3)*(4 + 3 - 5)*(-o + 0 + 0)*(5 + 5*o**3 - 5) to s*o**3 + z*o**4 + y*o + r*o**2 + t and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1723898928 + 26.6\nAnswer: -1723898901.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 2*x - 432, -9*s + 8*s - 5*x + 216 = 0. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -387 + 378. What is the thousands digit of 2\/l + 123695\/117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/6)\/((-4774)\/(-43989))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000272130461 to 6 dps.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -437452484 + 437452484 - 20*d.\nAnswer: -20*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263643264?\nAnswer: 2, 3, 131, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1540\/577 not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 6*g**2 - g - 1. What is the units digit of x(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -268 + 234 + 4*r + 3*r - 3*r in the form i + x*r and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-51)\/(-6) - (8 - (-45)\/(-6)). Solve w*a = -a + 9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*w**2 - 66 - 35 + 5*w**3 + w**3 + 8*w**3 - w**2 with respect to w.\nAnswer: 42*w**2 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 234*m**2 - 444*m + 6607. What is f(-236)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.2 - 10. Let d = 0.3 - x. Let n = -0.8928 - d. What is n rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4333 - 2928 - 3015)*(4 + 1 - 3)*(-3 + 1 + 3)*(-j - 2*j + 2*j) in the form h*j + w and give h.\nAnswer: 3220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmkk when four letters picked without replacement from {m: 2, k: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19, -49, -79, -109, -139, -169?\nAnswer: -199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 925 + -1374. Do -449 and n have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 112\/35 - (2 - -1). Let m = -4.98 - 0.02. Let k = -0.863 - 3.137. Put k, d, m in increasing order.\nAnswer: m, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1933289+-119668\nAnswer: -119668.1933289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -40*o**2 - 420*o - 134. Determine b(-10).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of q**5\/60 - q**4\/12 - q**3\/6 + 2*q**2. Let c be a(2). Which is smaller: -1\/8 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 3:01 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10500 (base 7) to base 2\nAnswer: -101001010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 355 - -52. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 42 - (9\/(-3) + 4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 7, -2 in decreasing order.\nAnswer: 19, 7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u - 3. Let s be p(-5). Suppose 3*r - 18 = s*r + 5*f, -5*f = 3*r - 14. Let z be 50*46\/575*2*(-6)\/(-4). Solve -x = 5*t + 20 + r, -z = 4*x for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-9)\/(-3))*(-6)\/4*14\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*f + 17, -2*f + 2*a + 8 = -0*a. Suppose 18*q = -f*q - 32760000. What is q rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 811 is divided by 82?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**6*g*g**(2\/7))**(-32))**(34\/3) assuming g is positive.\nAnswer: g**(-18496\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146829, -293657, -440485?\nAnswer: -587313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 508 + -505. Solve -m + n - 1 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90, 87, 82, 75, 66, 55, 42?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + f - 21 - 3*f + 6*f + 7*f. Let g be o(-13). Suppose -5*p + 134 - 46 = 2*c, 186 = g*c + 4*p. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 48\/455 (b) -131 (c) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1783.2585 rounded to the nearest ten?\nAnswer: -1780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.157 to two dps.\nAnswer: -2.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133 is divided by 33?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11852 or 11853?\nAnswer: 11852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -5*r - 3*s, -5*s + 3 - 18 = -2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0880013634 - 0.0151?\nAnswer: -0.1031013634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 15 = 5. What is the second derivative of r**5 - 14*r**h + r**3 - r**3 - 9*r wrt r?\nAnswer: -260*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + -31 + (-6 - -35).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**3 + 11*v**2 + v - 2. Let w be (-144)\/24 - (2 - 3). Determine i(w).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82323.\nAnswer: 3, 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1158*n + 1557 - 1557 - 704*n**2 - 405*n - 72*n**2 wrt n?\nAnswer: -1552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3325?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - c = -0*c + 489, 0 = 5*i + 4*c - 627. Calculate the remainder when i is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2414893021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 120 = 4*u. Suppose -g = 2*q + 4, g - u = 4*q + q. Suppose 110 + 90 = g*w. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1784, 3676, 6650, 10712, 15868, 22124, 29486, 37960?\nAnswer: 47552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 18*y**2 + 5*y + 313. Let j(u) = -9*u**2 - 2*u - 168. Give -5*j(l) - 2*m(l).\nAnswer: 9*l**2 + 214","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 x when two letters picked without replacement from srxhhhxsts?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/(-2)*12\/(-10). Suppose 2 = z*k - 52. Suppose 2*a + 5*m + 210 = k*a, 0 = 2*a + 5*m - 120. What is the highest common factor of 22 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/7543818 and -103\/29337070.\nAnswer: 264033630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(1 + (-4)\/(-8)). Let k(x) = -2*x + 6. Let m be k(f). Let s = 35 + m. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(1539) - ((4*sqrt(1539) + sqrt(1539))*-1)**2) - ((1*sqrt(5700))\/((sqrt(81)\/sqrt(3))\/sqrt(9) + sqrt(3)))**2.\nAnswer: -38953 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - m - 1. Let f(y) = 30*y**2 - 5*y - 6. Calculate -f(w) + 6*r(w).\nAnswer: -36*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**6\/40 - 16*h**5\/3 - 703*h**3\/3 - 509*h**2. Find the first derivative of b(p) wrt p.\nAnswer: 9*p**2 - 640*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 - 3*g**2 + 5*g**2 + (-10*g - 24*g + 9*g)*(-4*g + 5*g - 2*g) - 2*g**2 + 0*g**2 + 0*g**2)*(g - 1 + 1).\nAnswer: 24*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 43*s**2 - 2*s - 5. Let p = -359 + 383. Is b(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21000384?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from bbbbeebeebbbbbbbbbbb?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136478.\nAnswer: 2, 68239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4661*w**3 + 12194*w**3 - 4883*w**3 - 3969*w**3)*(-w**2 + 0*w**2 + 4*w**2) - w**5 + 0*w**2 + 0*w**2.\nAnswer: -3958*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 - i + 4 - 5 + 2*i**2 + 2 + i**3.\nAnswer: (i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 46 + -80. Let x = 34.0000029 + a. Round x to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**3 - 51*o**2 - 72*o - 12. Let a be x(-24). Let c be -16 - -26 - (-114)\/a. Factor 3\/2*h**3 - c*h**2 + 0 + 1\/2*h**4 - 3\/2*h.\nAnswer: h*(h - 1)*(h + 1)*(h + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -623*w - 26048 = 151*w + 40*w for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 12616.05 to the nearest ten.\nAnswer: 12620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28a (base 11) to base 7.\nAnswer: -664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, c: 2, k: 2}. Give prob of sequence ckc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22165 + 11506 = -413*y + 24446 for y.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -415241115 (base 6) in base 3?\nAnswer: -111122110210202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 194410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 12 = x, 0*b = 5*b - 3*x - 24. Suppose d = b*d. Suppose d = 2*o + 17 - 99. What are the prime factors of o?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 8*f**2 + f. Suppose -4*l + 18 = 3*s - 28, 2*l = 5*s + 10. Let b = l + -9. Suppose -3*w + 4*w + b = 0. Calculate k(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 8600*r - 85952. Give i(10).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26647 - -26647. Let r(b) be the third derivative of 3*b**3 + k*b - 1\/24*b**4 - 47*b**2 + 0. Find the first derivative of r(t) wrt t.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttt when four letters picked without replacement from {t: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**2 + 5*m + 10. Let s(q) = -4*q**2 - 4*q - 11. Let b(g) = 5*l(g) + 4*s(g). Let k be b(9). Solve 10 + k = 5*p + 4*z, -z = -5*p - 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -272, -98, 120, 382?\n\"Answer: 22*v**2 + 108*v - 402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-28 - 2)*9\/(-6). Suppose -36*u = -201 - 771. What is the greatest common factor of y and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-144)\/(-270))\/((-4)\/(-6)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10780 = -6*n + 3698. What are the prime factors of n?\nAnswer: 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbqzzqbzbzzobzozgb. Give prob of sequence zz.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5101 is divided by 243.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1423 a factor of 327974463?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 14*r**2 + 10*r + 22. Let g be y(14). Let d = -127 - -75. Let n = g + d. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (175\/(-7))\/(127 + -1) and 59\/144.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - i + 1, 14*m - 9*m - 4*i = -1. Solve -8*z = g - m*z + 30, -g = -z for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 70 = v - 3*y, 5*v + 250 = 5*y. Suppose 2*s + 84 = -4*d, 5*s + 3*d + 220 = -2*d. Let z = s - v. Let x(g) = g - 4. Determine x(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 7*x + 14. Let n(i) = -29*i**2 + 21*i. Let s(t) = 16*t**2 - 12*t. Let g(k) = -4*n(k) - 7*s(k). Determine g(y(d)).\nAnswer: 196*d**2 + 784*d + 784","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 105*b = 101*b - 25, -2*b - 20 = 4*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4.81 and -0.08.\nAnswer: 4.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*s + 36*s - 156. What is the smallest common multiple of 12 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -2ac6?\nAnswer: 2acb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - -26) + -1 + 0. Let o(s) = -2*s**3 - 14*s**2 - 10*s + 23. Let y be o(-6). What is the first derivative of y - 26*c + 7*c**2 + h*c wrt c?\nAnswer: 14*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -18*x - 63. Let u be y(-3). Is -18 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4809807211?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 9*n + 7 = 0. Suppose -3*c = -n*c + 44. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -5 + 0 + w - 4*w - 17. Let n be z(-9). Which is greater: 3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 29659.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98) - sqrt(98)*-1 - (sqrt(2) + (sqrt(18)*-2)**2).\nAnswer: -72 + 13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19712 - -19856. What is a in r*a**2 + 324*a + 2\/3*a**4 - 486 + 52\/3*a**3 = 0?\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 64490200 and 12898040.\nAnswer: 64490200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (220\/(-60) - -4)*(-3)\/(-4). Factor -1\/2*x - 1\/4*x**2 - c.\nAnswer: -(x + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**3 + 5*m**3 + 2*m**3.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3547.9992852 - 3548. What is x rounded to 5 decimal places?\nAnswer: -0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)*1*-2*6)\/((sqrt(144) - (sqrt(144) - 4*(sqrt(144) + 1*sqrt(144))) - sqrt(144) - sqrt(144))\/sqrt(12)).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2 = -4*v + 16, -3*v = 5*s - 31. Let r = s + -10. Which is smaller: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*j - 78*j**3 - 70*j**3 + 1 - 7*j - 11*j in the form d*j**2 + n*j + z + f*j**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*i**3 + 4 + 14*i**3 - 6.\nAnswer: 24*i**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0445 from 2465975.00735.\nAnswer: 2465975.05185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3007 is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43 and 451883861?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -540 - -599. Suppose -53*l = -j*l + 714. What is the remainder when l is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millennium in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 7*w**2 + 18779*w + 208746. What is h(-11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.1714665ml?\nAnswer: 0.0001714665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-2*sqrt(2736).\nAnswer: 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2834*h - 59101 = 17417 for h.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 3, -4, 5.6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - y - 3. Suppose -77 = 5*q - d + 213, 2*q + 5*d + 89 = 0. Let f = q + 53. Determine a(f).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.48 - 25272?\nAnswer: -25271.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 + -137\/3. Let u be 24\/16*(-2)\/4*1. Which is the third smallest value? (a) u (b) 2\/9 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 (base 15) in base 5?\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**4 - 416*i**3 - 29748*i**2 - 790064*i - 4210682 = 0. What is i?\nAnswer: -67, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.049 - -9.049. Let u = -1140 - -1135. What is the nearest to 3 in x, -4\/9, u?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 893*n**2 - 434*n**2 - 439*n**2.\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v + 24*v = 40. Suppose 9 = -v*w + 41. Let j = -1 + 4. Solve 0 = t - j*t + w for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0283 - -0.028319. Round x to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 4*n - 13. Let o(h) = 3*h - 9. Let x(t) = -5*c(t) + 7*o(t). Let j be x(-2). Suppose j*i + 5*i = 0. Solve i = -4*l - l - 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 200709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 7 = -3*a, 6*a + 14 = 3*c + 2*a for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(5\/3))**19\/(a\/(a*a*(a*a\/((a*a**42*a*a)\/a)*a)\/a*a)*a*a**(-6\/11)*a) assuming a is positive.\nAnswer: a**(-323\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 16*k + 4*k**3 - 2*k**3 + 10 - 4*k**2 - 3*k**3 + 10*k**2. Let n be d(8). Suppose x - 3*x = 3*u + n, 42 = -2*x + 5*u. Which is smaller: -9 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 2*w - 5*d - 21, -5*w + 4*d = -118. Calculate the highest common divisor of 143 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.0042, -12.3, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -248, 0 in decreasing order.\nAnswer: 0, -4, -248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1355.\nAnswer: 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -10*p**2 + 4*p + 465. Let g(y) = 8*y**2 - 4*y - 444. Determine -6*g(c) - 5*q(c).\nAnswer: 2*c**2 + 4*c + 339","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2817650 (b) -35 (c) -1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -5*m + 59. Let i be 4*1\/20 + 89\/5. List the prime factors of 255\/i + (-4)\/m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 221, 442, 675, 926, 1201, 1506, 1847?\nAnswer: 2230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t. Let g(i) = -119 + 119 + i. Give 6*g(b) - j(b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -186*s**2 + 170*s**2 + 3 - 10. Let n(y) = 33*y**2 + 22*y**2 + 6 + 26*y**2 - 66*y**2. What is -7*n(l) - 6*p(l)?\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u + 4 - 6 + 4*u + 2*u. Give p(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 264*y + 3*q + 36 = 266*y, -4*y + 5*q + 60 = 25*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eevp when four letters picked without replacement from vpvpeevvveepv?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -131, -4 in decreasing order.\nAnswer: 11, -4, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-4)\/(-30))\/((-48)\/126) and (10815\/(-441) - -25)\/(8\/(-102)).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2616 (base 7) to base 9\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 28*i**2 - 27*i**2 + 3*i - 5*i - 27 + 3*i. Let d be a(5). Calculate the highest common divisor of d and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 3 = -251. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 6*g + 204. Let h(b) = b + 41. Give -33*h(m) + 6*w(m).\nAnswer: 3*m - 129","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 5*h + 6 = 0, -3*h = 2*g - 5 - 1. Suppose j - 2*c = -c + 8, 6 = -3*j - g*c. Solve -2*t = -3*d + j, 3*d - 2*d - 1 = -t for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100 = 5*s - 5*f, 45*f = 3*s - 12*s + 5*s + 655 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1702.53 and -178.\nAnswer: 303050.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.0134 litres to millilitres.\nAnswer: 89013.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 471989?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*3\/(-9)*-1*(-675)\/(-250)*45.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 7:59 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 54235899065 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/48)\/(222\/(-333)).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 51772088 to the nearest integer?\nAnswer: 373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k - 2*k + 3*k)*(-1179 - 2199 + 3586 + 9466 + 3874) as q*k + g and give q.\nAnswer: 13548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8\/3 (b) 4 (c) -2\/15 (d) 0.297\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 19*d**2 - 74*d - 164. Let z be s(-14). Which is greater: z or -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**3\/23 - 16*p**2\/23 - 18*p\/23 + 144\/23 = 0.\nAnswer: -3, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, -1\/2, 0.099, -0.3, -3\/122?\nAnswer: 0.099","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gv when two letters picked without replacement from givggrggo.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20 - 1550\/(-75))\/((9 - 4)\/(-210))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 4:14 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 284 + -277 + 5 + (0 - -2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 598593 + -2394335\/4. Determine n, given that -1\/4*n**2 + d*n - 9 = 0.\nAnswer: 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 39*c - 27*c - 23*c. Let f(y) = -3*y**2. What is f(o(a))?\nAnswer: -363*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -561 (base 8) in base 7?\nAnswer: -1035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -110 + -1.\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 59\/(-19) + (-4)\/(-38)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2438.\nAnswer: 2, 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**3 + 11*x**2 - 11*x**2)*(-18*x**2 + 14 - 14) + 2214*x**4 - 2214*x**4 - 57*x**5.\nAnswer: -75*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**2*o**3*y - 4*d**2*o**2*y + d**2 - 9*d*o**2 + 4*d*o*y - 370*o**3 wrt o.\nAnswer: 12*d**2*y - 2220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -25*n. Suppose 2*m + z = 6*z - 2, -z + 6 = m. Let a(p) be the second derivative of 0*p**2 + 0*p**3 + 1\/12*p**m + 0 - 25*p. Calculate a(d(i)).\nAnswer: 625*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 35580 = -4*y, 14*y - 26689 = 11*y + 4*s. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 2:39 AM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1.89 (b) -7\/4 (c) 354\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/8*-1)\/((-3)\/6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5059, -4, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3839 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 116, 1, -9, 375 in ascending order.\nAnswer: -9, 1, 3, 116, 375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7933b04 - -3?\nAnswer: 7933b07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 16 - 0. Let k be 4*((-15)\/o)\/(-5). Suppose -6*p = -4*a - 3*p + 74, -28 = -2*a - k*p. Calculate the remainder when 31 is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g - 8. Let x(t) = 6 + t + 3 - 11. What is -2*v(r) + 9*x(r)?\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.5, 8, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18 - -120b3bc?\nAnswer: 120b3a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 14*x + 15 + 12*x + 9*x - 38*x - 12. Give v(7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 900 and 2540.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 10*a**3 + 8*a**2 + 6. Suppose -v - 5*j = -5 - 2, -5*v - 3*j - 31 = 0. Let h = 9 + v. Let u(d) = d**3 + d**2 + 1. Give h*t(k) - 8*u(k).\nAnswer: 2*k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.1 (b) -0.4 (c) -1 (d) 45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/139156722 and 67\/109314.\nAnswer: 139156722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 0, -m + 4 = -2*m - 3*u. Let t = 992.2 - 992. Sort 3, m, t, -0.2 in decreasing order.\nAnswer: 3, t, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6719327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g + 5*o + 25 = 4*g, -2*g + o = -5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -750153437, -750153433, -750153427, -750153419, -750153409, -750153397, -750153383?\n\"Answer: h**2 + h - 750153439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-8))\/((-2)\/(-4)). Suppose 3*p - p + 4 = 0. Is j > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132060 a multiple of 852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -6*i**2. Let y(l) be the third derivative of -11*l**5\/120 + 9*l**3 - 107*l**2. Let v(a) be the first derivative of y(a). What is p(v(f))?\nAnswer: -726*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i**2. Let v(k) be the second derivative of k**6\/360 - 5*k**3\/6 - 2*k. Let m(g) be the second derivative of v(g). Give m(l(q)).\nAnswer: 9*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 633508 is divided by 105567.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 7*c**2 + 38*c + 66. Determine f(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 104546 and 2457.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4195 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 339588 divided by 3.\nAnswer: 113196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**2. Let y(c) = c - 8. Let n(h) = -h + 5. Let w(o) = 3*n(o) + 2*y(o). What is -f(z) - 2*w(z)?\nAnswer: 2*z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 0. Let h be 22\/6 + c\/6. Solve 2*w = h*w - 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0614121 minutes to hours.\nAnswer: 0.001023535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**3 + 406*s**2 - 405*s + 606. Give d(-204).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/4*((5 - 18) + 5). Let s(u) be the first derivative of -2 + 18\/7*u + 2\/21*u**3 + 6\/7*u**r. What is o in s(o) = 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 21 = -11. What is the remainder when 13 is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - p + 4, -3*p = -3*l - 8*p + 20 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-4))\/(((-78)\/16)\/(-13)). Find the third derivative of l**5 + 6*l**5 + 48*l**2 + 26*l**4 + l**6 - 26*l**x wrt l.\nAnswer: 120*l**3 + 420*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + (-1)\/(3 + -4). Let k be 0 - ((l - -2) + 0). Let j be (-1)\/(k*(-2)\/4360). Round j to the nearest one hundred.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*i**2*o + 6*i**2 + 71*i + 31*o with respect to o.\nAnswer: 8*i**2 + 31","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 170\/3 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 3:08 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -63*j**2*r - 2*j**2*t + 4*j*r*t**2 - 12*j*t**4 with respect to t.\nAnswer: -2*j**2 + 8*j*r*t - 48*j*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-3)*(1275\/(-220) - (-126)\/231)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 2*a - 35. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/36*-1*6\/15. Let u(b) be the third derivative of 5\/24*b**4 + 0 - p*b**3 + 0*b + b**2. Find the first derivative of u(r) wrt r.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 + 40. Let a be -1 + h*(-4)\/(-8). Suppose a - 12 = -4*o. Solve -o*f - 3 - 13 = l, l = -f - 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 279 divide 81386811?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299 is divided by 100?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*y = -9*y + 17 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -200*m - 3*o = -203*m - 2682, -2*m = -5*o + 1794. Is -1781\/2 at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0117 and -31.\nAnswer: 0.3627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*((l**(-39)\/l)\/l)\/l*l)\/l)**(-8\/13)*l**(-6\/19)*l**(-2\/9)*l assuming l is positive.\nAnswer: l**(57115\/2223)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 3, g: 1}. Give prob of sequence aga.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27495 is divided by 624?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 768278, -22, -2 in decreasing order.\nAnswer: 768278, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58 and 986.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 + 10 - 12*r**2 + 2*r**3 + 6 + 5*r**3 in the form m*r + x + d*r**2 + i*r**3 and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 580 divide 11600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8558850 divided by 6.\nAnswer: -1426475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 481, -0.8, -175, 0.2?\nAnswer: -175","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + 3*j + 2*j**5)*(-1 + 4 - 1) - j**5 + 3*j**5 - j**5 - 7*j**2 + 7*j**2 - 6*j**5 - 356*j**5 + 390*j**5 + 828*j**5.\nAnswer: 861*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and -208411318011.59.\nAnswer: -208411318011.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 83459953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29798.73 - 28421.8. Let m = -1394 + q. Let d = m - -17. Which is the biggest value? (a) 4 (b) d (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32.043 - -32. What is d rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**3 - w**3 + 4*w**3 + 0*w**3.\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 321220310 (base 4) to base 8\nAnswer: 715064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5 + sqrt(112) + 1*sqrt(112).\nAnswer: 7 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000287977 rounded to 6 decimal places?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-6*(2 + 5 + sqrt(76) + -1)*3.\nAnswer: -216*sqrt(19) - 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -43.3 - 3.7. Let k = 11824938.6000184 - 11824891.6. Let r = k + s. Round r to six decimal places.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -x**2\/2 + 5*x - 3. Let z be r(3). Solve 3*n + 9 = 0, -n + 0*n - 5 = -z*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 65*j**2 - 121*j - 829. Determine w(67).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 775513217?\nAnswer: 79, 9816623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*g = -60*g - 4*t + 1024, 2*g - 470 = 4*t. What is the fourth biggest value in -5, 4\/3, g, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5625 divided by 25\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11940 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 9857821063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1212100211 (base 3) to base 13\nAnswer: -13933","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o = -279*o + 584. Let n = 0.06 - -0.54. Let d = n + -5.6. What is the closest to o in 2, -2, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -8*y - 10. Let b(q) = -11*q + 1. Let x(h) = -3*b(h) - c(h). Let s(k) = -21*k - 3. Give -7*s(z) - 3*x(z).\nAnswer: 24*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 89 + (-45 - (-24 - -28))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 41072, 82365, 123868, 165581, 207504?\n\"Answer: 105*w**2 + 40978*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -9. Let p(a) = -1091*a + 2236. Let b be p(2). Calculate the greatest common divisor of l and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-18))\/(((-28)\/(-6))\/2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-40)\/16*2*-1. Find the third derivative of -2*f**2 + f**4 + 4*f**4 + 2*f**4 - k*f**4 wrt f.\nAnswer: 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o + 2. Let v be h(8). Let f be (v\/40)\/((-1)\/(-12)). Suppose 4*b + b - 10 = -m, 2*b = -2*m + 4. Solve 4*y - j + f*j = b, 3*y = -2*j - 1 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 985, 1969, 2953, 3937?\n\"Answer: 984*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 2*c**2 - 6 + (0*c - 2*c + 0*c)*(2 - 2 - c) + c**2 - 2*c**2 + 4*c**2)*(1 + 4 + 0) to the form b + j*c**2 + k*c and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7177 is divided by 126.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -154\/3 - -50. Suppose -2 + 4 = 2*x. Let w be (x\/5)\/(3\/9). Which is the second smallest value? (a) r (b) 4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.56 in 0, -3687, -10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i = i - 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -27*d**2 - 57*d + 25. Let t be k(-2). Solve 0 = -t*g - 15*g + 230 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 22.7 (b) -1\/23 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1547 is divided by 758?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 58 + -55. Let d be (0 - u) + 0\/(-1) + 444001. Suppose 0 = 3*k + 2*q - d, -k + 4*q + 122000 = -26004. What is k rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/11 and -8\/1329.\nAnswer: 14619","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -g**3\/4 - 61265*g**2 - 3754502752*g - 135082711296 = 0.\nAnswer: -122512, -36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 1:58 PM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62558?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 3427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -5, -84, -1, 8 in decreasing order.\nAnswer: 9, 8, -1, -5, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36 - 15. Calculate the remainder when z is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 132\/88*(-4)\/51?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l - 4*l**3 + 0*l**3 + 2*l**3 + 14 + l**3 - 5*l**2. Calculate p(-6).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, -3, 1 in ascending order.\nAnswer: -3, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 0*x = 2*x - 33, -q + 5*x = 15. Solve 4*u + 30 = -q*z, 0*z = 2*u - 2*z + 6 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/878896 and -87\/100.\nAnswer: 21972400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -k**6\/60 + 7*k**3\/6 - 4*k. Let j(h) be the second derivative of g(h). Let u(d) = -2*d**2. Give j(u(f)).\nAnswer: -24*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 345 + 90. Suppose 0 = 5*k + n - 255, -3*n + w = k + n. Let g be 88\/5 + 3\/(-5). What is the highest common factor of g and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**4 + 175*v**3 - 5045*v**2 + 25025*v.\nAnswer: 5*v*(v - 13)*(v - 7)*(v + 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10432116 - 34?\nAnswer: -10432151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/25 and 39\/625?\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 - 215*x - 566. Let y be q(110). Which is the nearest to 1\/6? (a) -0.1 (b) -6\/5 (c) y (d) -1.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -85310 or -85309?\nAnswer: -85309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j**2 - 14*j - 11. Let w(d) be the second derivative of 1\/6*d**4 + 7\/2*d**2 - 4*d + 0 + 3\/2*d**3. Suppose -10 = 7*t - 66. What is t*w(n) + 5*l(n)?\nAnswer: n**2 + 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 624054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-4*sqrt(81)*4)\/sqrt(3).\nAnswer: -48*sqrt(3) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 10*b - 25. Let a be t(-10). Let j = a + 31. Solve 0 = j*f - f - 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -11. Which is smaller: -2\/35 or t?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 0*s - 13 + 7 + 25 + 33*s**2 + 3*s. Is q(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/10 and 40\/70 + (-164)\/(-546).\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wllxxlsxwx. What is prob of sequence sxx?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/(-30) - (9 + 322\/(-35)). What is the second biggest value in -4\/3, 0.4, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1180439152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 17\/4, -0.1, -5\/366, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1537)\/(-2120)*182\/2639.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.36 take away 135.7548?\nAnswer: -137.1148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -2008?\nAnswer: 2003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 15*y + 187. Let w be o(15). Suppose w*d + 20 = 192*d. Let -m**3 + 1\/2*m**5 + 0 + 0*m**2 - 1\/2*m**d + 0*m = 0. Calculate m.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.4 - 6.4. What is the second smallest value in w, 3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1023690006.\nAnswer: 2, 3, 6091, 9337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 121472 by -7592.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -18 - 474. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2900.94 - -2901. Let u = 1.4 + -1. Let g be (3 + 21\/(-6))*0. Sort -2, g, d, u.\nAnswer: -2, g, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 1 = -h, -h - 3*h + 10 = 2*d. Let g(t) = 19*t + 61. Let q be g(d). Solve -q*r + 11 + 5 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b**4 + 2*b**2 - 2*b**2)*(-558 - 570 - 388).\nAnswer: 6064*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 1. Calculate the remainder when 6 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18 - 11. Suppose 5*a = p + 3. Solve -a*x + 3*f = -0*f - 1, 0 = 3*x - 5*f - 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 p when two letters picked without replacement from {m: 4, p: 2, b: 11, x: 2}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(264) + sqrt(264)*2)\/sqrt(11) + sqrt(1536)*2)\/(3*-2*sqrt(288)).\nAnswer: -19*sqrt(3)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 3*j**5\/10 + 5*j**4\/12 - 8*j. What is the third derivative of w(q) wrt q?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 27929, 27920, 27911?\n\"Answer: -9*k + 27938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 208 and 272*(12 + 1)\/26?\nAnswer: 3536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -574 by 176969.\nAnswer: -574\/176969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 463 divide 423557258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 6*t. Let v be c(7). Suppose -4*o + 0 = -3*u + 13, 0 = -u + 4*o + v. Suppose -u*b - 8 = -2*q, 2*q + 4*b - 2 = 20. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xgexkgoxegekleooeoe. What is prob of sequence elgg?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1402 and 2.\nAnswer: 2804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k\/k**(-3)*k)\/k*k))\/k)\/(k**(12\/5)\/k) assuming k is positive.\nAnswer: k**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/6 - 9\/(-81)*69?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -13*s**4\/4 + 6*s**3 - 2*s**2 + 5856*s + 3083. Find the first derivative of l(u) wrt u.\nAnswer: -39*u**2 + 36*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2130 - -4?\nAnswer: 2134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -640 - -623.15. Round u to 0 decimal places.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -30*m**2*z + 272*m*z**2 + 39*m + 24305730*z**2 wrt m?\nAnswer: -60*m*z + 272*z**2 + 39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 + 45. Suppose -7*k + 6*k = o. Suppose -3*w = 5*z + 2 - 30, -13 = -2*z - 3*w. Solve k*g = z*g + 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72756?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and 1688.59774.\nAnswer: 1688.19774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggggtgttg. What is prob of picking 3 g?\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/4))**(25\/3)*(i*i**(-1))**(-6\/7))\/((i**(2\/9))**(-21\/2))**16 assuming i is positive.\nAnswer: i**(473\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n**2 + 32*n - 77. Let b(a) = a - 1. Let i(f) = -2*b(f) + w(f). Suppose i(u) = 0. Calculate u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l - 7. Let t be m(-7). Let k(q) be the second derivative of -1\/9*q**4 - 1\/45*q**6 + 0*q**3 - 3*q + 0 + 1\/10*q**5 + t*q**2. Factor k(y).\nAnswer: -2*y**2*(y - 2)*(y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 357*w**2 - 1782*w - 171. Give v(-5).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 251 - 256. What is the biggest value in q, 3, -1\/7, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74344 is divided by 658.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.045 + -0.0449896. Let x = -11 - -11. Let l = x + o. What is l rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12411 + -4d?\nAnswer: -12460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 973, 784, 469, 28?\nAnswer: -539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4048951237 to the nearest integer?\nAnswer: 63631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 1\/2, 0.2, 2\/9 in descending order.\nAnswer: 1\/2, 2\/9, 0.2, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_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: What is the third derivative of -c**2*f**3*r**2 - 5*c**2*f**2*r + c**2 - f**3 - r**2 wrt f?\nAnswer: -6*c**2*r**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*i + 4 + 11 = 95*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 278697?\nAnswer: 3, 92899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 84 in 7, 1\/4, 1846?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19.69 + 0.69. Which is bigger: o or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -3)*(-1)\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -6. Suppose m + 0*f - 10 = -4*f, x*m = -5*f + 9. Let n = m - -4. Solve -n*w - 3 = -w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 16 = 3*j, 2*s + 3 = 2*j - j. Suppose -y - 6 = -4*y. Suppose -5*l + 65 = j*q, -q + 18 = -y*l + 2. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 26881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -294607.61 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v + 4. Let d be m(-2). Suppose d = z, -2*o + 5*z = 2*z + 24. Let g be 10\/(-16)*2634*3200\/o. Round g to the nearest ten thousand.\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/z**(1\/9))\/z*z)\/z*z**7)\/(z**0\/(z*z*z*z*z**5*z)))\/(((z\/(z*z**4\/z))\/z**(2\/19))\/(z**8\/(((z*z**8*z*z)\/z)\/z))) assuming z is positive.\nAnswer: z**(3248\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u**2 - u + 4. What is the remainder when 474 is divided by y(-3)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -18227, -36461, -54695?\n\"Answer: -18234*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13027280.\nAnswer: 2, 5, 7, 43, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69 and 1357?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -15. What is the closest to j in 1\/16, 3, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2013)\/(-1647)*75\/69 - (-10 - 700\/(-63))?\nAnswer: 5\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 38180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a - 81. Let w be q(25). Let p(g) = -2*g**3 + g**2 - 27*g - 11. Is p(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 8\/(-6))*-6. Suppose -4*f = 2*t + 10, -c*f = t + 2*f + 13. Suppose 16 = t*d + 1. Calculate the remainder when 13 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and -13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j + n + 75, 2*j - 17*n - 74 = -15*n. Let q(r) = -r**3 + 34*r**2 + 237*r + 89. Is q(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1))**(1\/10)*q**(-3\/2)\/(q*q**(-8\/3))*(q**(-2)\/q)\/q**(-2\/7)*q**(-3)\/(q*q**1) assuming q is positive.\nAnswer: q**(-803\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 - 26*f + 60. Give o(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 60233598 to the power of 1\/2, to the nearest integer?\nAnswer: 7761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-29 - 1)*(4 - 5). Let b(c) = 5*c - 126. Calculate the lowest common multiple of (84\/(-16))\/(2\/(-8)) and b(o).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7, 19, 55, 127, 247, 427?\n\"Answer: 2*n**3 - 2*n + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (-38 - -167)\/(-3)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 77856 + 5?\nAnswer: 77862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -113, 40, 0.1?\nAnswer: -113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 164953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10+-16.0210012\nAnswer: -26.0210012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvuv when four letters picked without replacement from {u: 7, v: 4}.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 0)*(3 + 0 + 0) + 0 + 3 - 4)*(m**2 - m**2 - 6*m**2).\nAnswer: 42*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -280*s**2 + 1018*s**2 - 380*s**2 - 288*s**2 - 271*s**2.\nAnswer: -201*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -379, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11316, 22696, 34108, 45558, 57052, 68596?\nAnswer: 80196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**2 - 15*j**6 + 18*j**2 + 0*j**2 wrt j?\nAnswer: -1800*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)\/(sqrt(63)\/sqrt(7)) + sqrt(22))\/((sqrt(8)*3)\/sqrt(4)).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -44 (b) 0.4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a + 14 = 23 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 31. Let c be k(-27). Solve 0 - 4 = -c*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 5*n**4 + n**3 - n**2 - n - 1. Let y(d) = 16*d**4 + 404*d**3 - 10000*d**2 - 404*d + 9996. Let b(i) = -4*r(i) + y(i). Factor b(c).\nAnswer: -4*(c - 50)**2*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -0.04726325?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 34*b**3\/11 + 2026*b**2\/11 - 7212*b\/11 + 6048\/11 = 0.\nAnswer: -63, 24\/17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + -33?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15893 + -5047. Is 17 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -16 - 65*s - s**3 - 19*s**2 + 49*s + 3*s**2 + 6. Let z be q(-15). Is z at least as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000010899244 rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**5\/4 - 9*k**4\/2 - 591*k**3\/4 + 2387*k**2 + 8349*k = 0?\nAnswer: -23, -3, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/14)\/(1\/13) + 36?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 3*w - 2*j = -5, 2*w = 4*j - 2. Suppose i = 3 - w. Let h be 4 + (i - 3) - 0. Solve 0 = 3*g - 4*v - 4, 4*g + 3 = -h*v - 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 537*u + 217. Let q be n(1). Calculate the highest common divisor of q and 1566.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 6:22 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 412912 and 7729?\nAnswer: 24361808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(2\/((-32)\/(-12)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b - 17. Let m be o(-9). Let j = 1 + m. Calculate the remainder when 29 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23589593197 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 114 + (-45 - -39) - 113?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -186, -2.3, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x - 2 + 2)*(-1 + 0 + 2)*(-673 + 0*x - 12*x + 9*x + (-5*x + 4*x - x)*(4 + 2 - 5)) to j*x + p + b*x**2 and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 4*f - 0*f + l, -2*f = -3*l + 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*b + 12 = 27*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 4*m + 3*m)*(6*m**3 - 7*m**3 + 3*m**3 + (4*m**2 - m**2 - 5*m**2)*(3 - 2*m - 3) + 2*m**3 + m**3 - 5*m**3) + 0*m**4 + 0*m**4 + 2*m**4.\nAnswer: 18*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000302239 rounded to 7 decimal places?\nAnswer: 0.0003022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.754 + 1.754. Let s = -0.1 - 0.1. Put o, 4, s in descending order.\nAnswer: 4, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xddmmdxxmxm. What is prob of picking 1 x and 2 m?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.77 to zero decimal places.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -3*z + 53 + 39, -3*k = -z + 22. What is the highest common divisor of 70 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 143*v**2 + 1. Let s(d) = -d**2 - 55. Calculate b(s(q)).\nAnswer: 143*q**4 + 15730*q**2 + 432576","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3345363266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/27200 and 5\/14144.\nAnswer: 353600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from efefee.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(6 + 0))\/((-1)\/(-4)). Suppose 4*x - 4 = 2*t, x + 8 = -4*t - 4*x. Sort i, t, -1 in decreasing order.\nAnswer: i, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(8) + sqrt(24)\/sqrt(3))*-5)\/(sqrt(100) + sqrt(100)*-3))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-3))\/((-12)\/9)*3\/(-19).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46 and 22941166?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 121 - -38. What is the remainder when 497 is divided by b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3531 = 244*v - 115 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4071.5106 + 4071. Round t to two dps.\nAnswer: -0.51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 13*h - 127. Let c be i(10). Suppose 206 = j - 5*p - 627, -2444 = -c*j + 4*p. What is the hundreds digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 702\/5 - 140. Let v = -476 + 476. Factor v - h*l**3 + 2\/5*l**4 - 2\/5*l**2 + 2\/5*l.\nAnswer: 2*l*(l - 1)**2*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 196106 and 868?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 1, -1074?\nAnswer: -1074","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/171784 and 49\/44320272.\nAnswer: 44320272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 76 - 46. Calculate the greatest common factor of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5.2 and -0.42.\nAnswer: 4.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence icn when three letters picked without replacement from {n: 1, i: 5, c: 3}?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -110 - -115.7. Let f = g - 0.7. Sort -1, f, -0.1 in decreasing order.\nAnswer: f, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 446?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32072 is divided by 47.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (41\/(-2))\/((-9)\/(-270)). Let t = y + 1826\/3. Calculate the common denominator of -99\/8 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27432 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 138\/84)\/((-66)\/(-176))*(-1)\/(-3)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2151 + 2032252?\nAnswer: 2030101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/4)\/((13 + -2)\/22)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/11 + (-96)\/(-165). Let a(o) = -o**3 + o**2 + 2*o - 1. Let f be a(1). Let g be (f\/15)\/(6\/15). Put g, z, 0.3 in descending order.\nAnswer: z, 0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4985*r - 4991*r = -9977*r - 4*t + 13, -3*t = -2*r + 4 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-18)\/j*j)\/(j**8*j)*j**(-4\/11)\/(j**(-19)*j) assuming j is positive.\nAnswer: j**(-103\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 102 - 6*c + 9 - 33 as f*c + m and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260 is divided by 23?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 332425 (base 7) to base 6.\nAnswer: 1130541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 7*g - 9. Let d be p(3). Find the third derivative of -d*o**2 + o**5 + 0*o**2 + 0*o**2 wrt o.\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3\/457 - 5968\/4113. What is the common denominator of a and 129\/27 - (0 + 4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 38 - 32 = -i, 0 = 3*i + s - 245. Does 11 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i + 3. Let q be f(3). Let j be 6 + (-8)\/2 + 1. Let z = j + q. What is the remainder when 4 is divided by z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*h + 52*h - 340*h - 168*h.\nAnswer: -408*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37718 divided by -18859.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 68\/(-6)*(-2)\/4*45. What is the greatest common divisor of q and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 - 15*n - 27. Let p be i(8). What is the lowest common multiple of 27 and p\/((-152)\/48)*2?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139, 251, 349, 427, 479, 499?\nAnswer: 481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 28. Suppose m*c = 3*p - 27, -2*p - 3*c + 3 = 5. Solve -3*b + p*b = 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 225?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3792 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1260483159?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-11 + (13 - (5 + -8 + -1)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/10*1*6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 71\/5 of a millennium?\nAnswer: 1420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 444*w**3 - 3*w**2 + 16*w - 33. Let v(o) = 148*o**3 - o**2 + 6*o - 11. What is -3*r(p) + 8*v(p)?\nAnswer: -148*p**3 + p**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5061 is divided by 1008?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 142, 211, 296, 397, 514?\nAnswer: 647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 915*a**2 - 40*a + 92. List the prime factors of z(3).\nAnswer: 29, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12763850 is divided by 12763820?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, w: 2, q: 1}. What is prob of picking 1 w and 1 q?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16953 - -16952.5. What is the nearest to -1.2 in 0.4, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-6*sqrt(1125) + sqrt(1125))*-5)\/(-3*sqrt(576)*3*3).\nAnswer: 175*sqrt(5)\/216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -b**9\/72 - b**5\/30 - 2*b**2. What is the third derivative of r(i) wrt i?\nAnswer: -840*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -12330?\nAnswer: -12340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2*c + 5)*(-43*c + 21*c + 15*c)*(-c + c**3 + c).\nAnswer: -14*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 25850, 51438, 77018, 102590, 128154, 153710, 179258?\n\"Answer: -4*j**2 + 25600*j + 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16544.\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 172476 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/4349 and -41\/47839.\nAnswer: 47839","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190*l**3 + 409*l**3 - 113871*l + 113871*l.\nAnswer: 599*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -32*j + 40. Let p(i) = i. Determine z(p(k)).\nAnswer: -32*k + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + ((-62656)\/110)\/(-32)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -v - 5*m + 163, -178 = 4*v - 2*m. Let f = v + 74. Solve 5*z + 3*a = -f, 5*z - 1 = -a + 5*a for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/50)\/2*(-45)\/((-270)\/12)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(171) + -1 + 1)*2.\nAnswer: 8 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*1*2\/(-2). Suppose 4*z + 4*l = -0 + 4, 4*z = -a*l + 6. Let o(d) = 6*d + 1. List the prime factors of o(z).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19378 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 0.019.\nAnswer: -0.095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -g, 6*g - 5*g - 20 = m. Calculate the common denominator of m and -32\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oqqkbvbqboqbbqqq. Give prob of picking 1 k and 1 b.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -947462 at most as big as -947458?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 18172 = 924. Suppose 2*h - 4*h = -f - q, 0 = -4*h - 5*f + 3150. Does 15 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281*o - x = -282*o - 4, -2*x - 4 = o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -112, -262, -552, -1030?\nAnswer: -1744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 divided by -7?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -773 + 242 + 206 + 207 - 2*z.\nAnswer: -2*z - 118","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 13457454.\nAnswer: 53829816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244 + 62 + 20*a**3 + 61 + 59 + 62.\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1425 divided by 294.\nAnswer: -475\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 57 = -67*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 4*m. Suppose b + m*b - 1 = 0. Differentiate y**4 - 3*y + 3*y - b - 2 wrt y.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/50 of a milligram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = q - 48. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -250 + 249.9. Let d be ((-8)\/(-6))\/(-2)*1. What is the third smallest value in d, f, 5, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 9, h: 2, w: 7}. Give prob of sequence uwwh.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 1 = 5*f + 30, 4*r + 13 = -f. What are the prime factors of (r + 26\/7)*7?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*l*u**3 - 93939*l*u**2 - u**3 + u**2 - 832260 wrt l?\nAnswer: 4*u**3 - 93939*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -781, -3058, -6871, -12220, -19105, -27526?\n\"Answer: -768*d**2 + 27*d - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -46156497.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6019\/(-26) - (-2)\/4. Let x = 250 + n. Solve -2*b = -2, -4*i + b + x = i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 947*d + 3146 = 804*d for d.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 219917364 a multiple of 206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1861 - -1863. Solve -4*w = -c - 3 + 19, -v*w = 5*c - 14 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*f + 30. Is (3 + 25\/f)*68 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 (base 12) in base 7?\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2a6 (base 15) to base 12\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*p)*(-4*p + 5*p + 0 - 3).\nAnswer: -2*p**2 + 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 859632778.\nAnswer: 2, 17, 25283317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.5 - -2. Let b = 271\/1098 + -3\/122. What is the third biggest value in -5, r, b?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/18)\/(2\/(-6))*-4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4610443?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = 10*s - 13 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 742 is divided by 313?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6485123.67 and 0.5.\nAnswer: -6485123.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 e when three letters picked without replacement from eegegggggegeggegeeee.\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -167335, -166763, -166225, -165739, -165323?\nAnswer: -164995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 386*w - 799. What is the units digit of a(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2063128, -2063127, -2063126?\nAnswer: -2063125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**3 + 31*v**2 - 7*v**3 - 5*v**4 - 6*v**3 + 18*v - 2*v**2 - 28*v**3 = 0. What is v?\nAnswer: -9, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/20 - 4\/(-10). Suppose q = -3*p + 8*p + 5*y - 40, p = 3*y - 8. Let n = 0 - 5. What is the nearest to 1 in -0.1, p, n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6535 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -32*l - 163. Let u(j) = 2. Let x(s) = -i(s) + 2*u(s). What is the first derivative of x(r) wrt r?\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + -1)\/(2 + -3). Find the common denominator of 1\/o - (-292)\/(-40) and (-4 + 10)\/72*2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1678 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qttqtqttqttetetqqcq. What is prob of picking 1 c and 1 t?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 3\/4, -13, -4067?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 289512992 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 4*o)*(0 + 0 + o + (2 + 1 - 1)*(o + o - 3*o)) - o**2 + 0*o**2 + 2*o**2.\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4520281004?\nAnswer: 2, 5279, 214069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012268 to six decimal places.\nAnswer: -0.000123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 + z**2 + 2*z**2 + (-2*z - 5*z + 11*z)*(-z + 4*z + 0*z).\nAnswer: 14*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -6185\nAnswer: 6\/6185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1*15911\nAnswer: 15911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 1536 = 7*k. Let c = 268 - k. Put 4, c, 3 in increasing order.\nAnswer: 3, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29670465 is divided by 92.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of -88*g**7\/7 + g**5\/10 + g**4\/12 + 115*g**3\/6 - 233*g. Find the third derivative of f(d) wrt d.\nAnswer: -31680*d**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 6) in base 9?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -897131\/5440320 - 1\/37780. Find the common denominator of d and -25\/704.\nAnswer: 6336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((5\/(-5))\/4)\/(9*1\/(-8))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h = 54*h - 6*h - 234 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -34928560*j**2 + 10360930*j?\nAnswer: -69857120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -186164*c**2 + 206517 with respect to c.\nAnswer: -372328*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-5\/2))\/i**(2\/21))**(-15) assuming i is positive.\nAnswer: i**(-715\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**5\/5 - 5*b**3\/6 + 11*b**2. What is the derivative of m(c) wrt c?\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 18 = 2 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*sqrt(240)*6 - sqrt(240)) + sqrt(240))\/sqrt(5))**2 - ((1*sqrt(12)*-5)\/(2*sqrt(100)))**2.\nAnswer: 62205\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -12166?\nAnswer: -12166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -86 + 947\/11. Let f be (-31)\/(-2) - (-30)\/(-20). Let x be f\/56 - (-1)\/(-4). Are z and x nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 220.9 + -138. Let l = w - 83. Which is the second smallest value? (a) 2\/5 (b) 2\/3 (c) -5 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.67 and 0.0231.\nAnswer: 0.130977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/375*3)\/((-141)\/(-470))?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2787 and 663.\nAnswer: 615927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 264\/28 + -5 + -3.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 770.6779 and 190.\nAnswer: 960.6779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-1 + 17) - -9 - 8.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67447, -134837, -202227, -269617?\nAnswer: -337007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0025315 to 5 decimal places.\nAnswer: 0.00253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2017 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 51*n - 34*n - 22*n. Suppose -2*g + 4*y - 402 = -996, -4*g - y + 1170 = n. What is the remainder when g is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6252?\nAnswer: 2, 3, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 0. Suppose -2*z = -1 - 7. Let o = z + a. Solve -c - o*w + 12 = w, -5*c - 15 = -5*w for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100 divided by 27.\nAnswer: -100\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 29 and 232?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14378 and 202951?\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 7:28 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 152\/1495 + 6\/115. Which is the fourth biggest value? (a) s (b) 3 (c) -3 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-62)\/124)\/((-6)\/(-4))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zppvbvbbzvpbpzppvvv. What is prob of sequence vbbz?\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j**2 - 3*j**2 + 0*j**2)*(-22 + 5 - 18).\nAnswer: -140*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 1 + 3)*(67*g - 83*g + 67*g) to n + b*g and give b.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**2 - 5554696*h - 11109408 = 0. Calculate h.\nAnswer: -2, 1388676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 130682507*x**3 + 39517964*x**2 wrt x.\nAnswer: 784095042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o + 3*f = 58, -272113*o - 60 = -272108*o - 5*f for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s**(-2\/13)\/s))**(-24) assuming s is positive.\nAnswer: s**(-984\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7279 a factor of 784865454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5\/6 of a week?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/2 + 20*d**2 + 74*d + 72.\nAnswer: (d + 2)**2*(d + 36)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (1848\/(-182))\/33*(-2)\/(-4)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 3*n - 34, 0 = n + n - 2*w + 4. What is the highest common factor of n and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(243) + 4 - sqrt(243)) + 4 - (1 + sqrt(243) + 2))**2.\nAnswer: -90*sqrt(3) + 266","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*r + 5 = -4, -z = 3*r + 12. Solve -5*y + 1 = c, -3*y + 2*c - z*c = 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30143 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.05581, -21\/10, 2, 5, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.9878 and -261?\nAnswer: -257.8158","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, u: 1, t: 5, p: 1, x: 3, w: 3}. What is prob of sequence hupx?\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1166*f + 99 = -1166*f + 2321*f for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 540677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 divided by 16?\nAnswer: -73\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 3. Suppose 0 = q + 2 - 3. What is the second smallest value in n, q, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 342 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 + -1. Suppose -3 = -f*q - q. What is the remainder when 10 is divided by q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 63, 76, 113, 186, 307?\n\"Answer: 2*k**3 - k + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -7*p**3 + 25*p**2 + 6*p - 5. Let m(f) = 13*f**3 - 51*f**2 - 11*f + 9. Determine 11*b(r) + 6*m(r).\nAnswer: r**3 - 31*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 + b**2 - 3*b**2)*(2 - 1 - 2)*(-13*b - 5 + 5).\nAnswer: 13*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-10)*10 + 0. Suppose 3*g = -2*g + 5, z*g - 16 = 2*v. Let i be (v + (-6)\/(-2))\/1. Let b(n) = 2*n**2 + 3*n - 2. Calculate b(i).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(3)*-1 + (sqrt(3) - -3*sqrt(48)) + sqrt(3))*4.\nAnswer: -4 + 52*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 462304426 divided by 62\nAnswer: 7456523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 11313, 10, 3, -1, 0, -2, 5 in ascending order.\nAnswer: -2, -1, 0, 3, 5, 10, 11313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14349400 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -64, 5, 12789 in decreasing order.\nAnswer: 12789, 5, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 - 0.8. Which is the biggest value? (a) -2 (b) 1\/4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1499962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(2\/114) - -1. Let u(r) = r**3 + 43*r**2 + 81*r - 67. Let k be u(-41). Let c = k + o. What is the highest common divisor of c and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r + r + 15. Let y(i) be the first derivative of 1 - i**r + 0*i**4 - 1\/5*i**5 + 0*i**2 + 0*i. Find the third derivative of y(j) wrt j.\nAnswer: -24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 459 = 3*i + h, -3*h = i - 146. Let q = i - 67. Is q <= 88?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2980*w + 2967. Calculate p(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.050000436 - -2.05. What is s rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 75*z**4 + 2130*z**2 + 3*z**5 + 2595\/4*z**3 + 384 + 1680*z.\nAnswer: 3*(z + 8)**3*(2*z + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 1490*i**2 - 9*i + 35420. Let x(p) = -596*p**2 + 3*p - 14166. Let f(d) = -5*g(d) - 13*x(d). What is the first derivative of f(w) wrt w?\nAnswer: 596*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2421 = -4*t + 2743. Suppose 1394 = 5*y - t. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -118*u**2 - 52*u - 8 - 66*u + 118*u - 561 wrt u?\nAnswer: -236*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + (1996\/(-1) - -2). What is the remainder when 3\/(-7) - g\/42 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/i**(-2)))\/i)\/(i*i\/i**0))\/(((i\/i**(3\/4))\/i)\/(i**(2\/9)\/i)) assuming i is positive.\nAnswer: i**(-181\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**17*x*x*x**22 assuming x is positive.\nAnswer: x**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 101 - 44. List the prime factors of o.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.8 - -0.2. Which is the nearest to -1\/2? (a) -0.5 (b) p (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-6))\/((-30)\/135). Suppose 15 = 2*b + p*b + 5*t, -3*t + 16 = 4*b. Let r(y) = y**2 - 8*y + 7. Give r(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*2397\nAnswer: 4794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/a**(-6\/11))\/a)\/(a**(-1\/2)\/a))\/((a\/(a*a*(a**(-1\/4)\/a)\/a))\/(a\/(a*a\/a**(-5\/3)))))\/(a**(5\/3)\/(a*a\/(a**(2\/7)*a)))**(-28) assuming a is positive.\nAnswer: a**(1091\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -4*l**5 + 32*l**4 + 516*l**3 + 1568*l**2 + 1088*l = 0.\nAnswer: -4, -1, 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*m - 61 - 1927 = 0 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 551?\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.186876 hours in nanoseconds?\nAnswer: 29472753600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**3 + 3*i**2 + 15*i + 9. Let g be x(-5). Let u = g + 242. Solve u + 0 = -z + p, -5*z - 17 = -p for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(3 + 16\/(-5)). Let l = h - -44. Is l a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4984 is divided by 1022.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 542.4 + -542. Let s = -329.95 - -330. Which is the closest to s? (a) -0.2 (b) 2\/11 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (-6)\/9)\/(-17 + ((-2805)\/(-153) - 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181643828?\nAnswer: 2, 45410957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 5*k - 8. Let o be u(-8). Suppose 5*i - 19 = -4*r, 4*r - o = -3*i - i. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.426881 months to centuries.\nAnswer: 0.0161890675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 5899955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3 = 7, 0 = -2*d - 2*u + 154. What is the tens digit of d\/36*-2*(-193)\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 6*p**3 - 5*p**2 - 11*p - 7. Is a(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = y + 28, y - 3 = -l - 1 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -5*q - 3*d - 85, 51 = -3*q + d. Let c = q - -22. List the prime factors of -25*((-27)\/c)\/3.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000015024 rounded to 7 dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -1\/6*y**3 + 0*y + 0 + 7\/24*y**4 - 4*y**2. Let h = 3 - 2. Calculate u(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16373923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -29464, -29465, -29466, -29467, -29468, -29469?\n\"Answer: -j - 29463","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/7, -5, 3\/7, 0.128?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2440 is divided by 273?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 29636721 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 8249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 30*i*k**3*s**3 + 10*i*k**2*s**3 - 2*i*k**2*s**2 + 40*i*k*s - 2*i*s**3 + 1949*k**4 + 7*k**3*s**3 + 248*k**2*s - s wrt k?\nAnswer: 180*i*s**3 + 46776*k + 42*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 872 is divided by 211.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 262774 and 97043?\nAnswer: 481139194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -239*k**4\/24 + 307*k**3\/6 - 6*k**2 + 17*k. Differentiate c(n) with respect to n.\nAnswer: -239","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 793842c + 4?\nAnswer: 7938431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -35 + -19 + (0 + 3 - -16)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*b = 7840, 2*b - 3*b = -4*c + 31321. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 27*n - 57. Give c(25).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19640801 and 8804497?\nAnswer: 255330413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of 0*r**2 + 1\/3*r**3 - 210*r + 0. Let c(g) = -119*g**2. What is c(q(b))?\nAnswer: -476*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 4*f**2 - 30*f - 6. What is the units digit of w(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/((117\/6)\/(-13))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -10. Let c = 133 - 121. Let o = c - 18. Which is greater: o or d?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3460 - -a835?\nAnswer: 73b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6195 and 315?\nAnswer: 18585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**5*x\/(x**(-1\/13)*x))**(2\/155) assuming x is positive.\nAnswer: x**(132\/2015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -3, 0.03, -3\/10, 1\/5, -315\/17?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -12*q + 55. Let n(y) = 13*y - 54. Let g(b) = -2*l(b) - 3*n(b). Let w be g(-16). Let f = w + -167. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 0, -1, 17 in descending order.\nAnswer: 27, 17, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j**2 + 74*j - 442. Calculate l(30).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 14458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-6)*(-4613)\/(-35). Let q = 109 - l. Let g = 7104 + -7104.3. What is the third smallest value in g, q, -3, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, q: 1, i: 2, g: 1}. Give prob of sequence gu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1377) + (-3 + sqrt(1377))**2 + 4 + sqrt(1088) + (-2*(sqrt(1088) + 0))**2.\nAnswer: -37*sqrt(17) + 5742","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-11509760)\/(-400) + 4\/(-10)?\nAnswer: 2, 14387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*v - 23, d - 7 = 2*v - v. Suppose d - 2 = t. Let f = t - 4. Does f = -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 9 = -d, 13*f = 18*f - 20. Let s(z) = -z**2 - 13*z + 2. What is s(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8334 and 75.9.\nAnswer: 632550.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 30963 to the power of 1\/2, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -114.201694 rounded to two decimal places?\nAnswer: -114.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 85824113 to the power of 1\/3, to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(1 + 0)*(-2)\/4. Put -4, 5, -14, k in increasing order.\nAnswer: -14, -4, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 5)*(2 + 1 + 2)*(3*r**4 + r**2 - 2*r**4 - 3*r**4).\nAnswer: 40*r**4 - 20*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15028 - -15492. Solve -444*n + 120 = -o*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c - 2*c + 0*c - 4. Let d be 2\/17 + (-700)\/170. Let w(i) = -2*i - 9. Calculate d*w(l) + 9*k(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 0.3, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*u = 12 + 39 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(539)*-6 + ((0 + sqrt(539))*3 + sqrt(539))**2.\nAnswer: -126*sqrt(11) + 8624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3 + 4*o - 3*o - 1. Let r(c) = -c**2 + 27*c - 105. Let d = -903 + 925. Let l be r(d). What is t(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1428 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92 and 16526282.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1027290.277 rounded to the nearest 10000?\nAnswer: -1030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q + 2*q + 2*x = 4*q + 10, 3*q + 0*x + 5*x - 82 = -85 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*c + 102 = c. Suppose 0 = 2*q - 4*g - 18, c*g + 12 = -0*q + q. Solve -q = 4*b + 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-96)*86\/(7740\/(-27))*16\/(-6).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 9:32 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 0*h**2 - 11*h + h**2 + 4*h + 3*h. Let c be a(5). Suppose 7*i - 20 = 2*i + 5*w, c*w = -5*i + 60. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1*0.4\nAnswer: -0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (-1 + -2 - -7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 7 - 5)*(-2*y**2 - y + y) + 10561*y - 10542*y + y**2 + 4*y**2.\nAnswer: 37*y**2 + 19*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4097460650.\nAnswer: 2, 5, 31, 2643523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12617, 12614, 12611, 12608?\nAnswer: 12605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (618*w + 591*w + 344*w)*(1 - 1 - 13*w**3).\nAnswer: -20189*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11066 is divided by 502?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*t + 14*t = 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -i**6\/60 - 5*i**5\/12 + 5*i**4\/24 - 53*i**3\/6 + 216*i**2. Let v be g(-13). Solve -v + 43 = 2*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 + -6. Suppose v + 44 = -0*v. Let a = v - o. Round a to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 5602, -10, -2, 35 in decreasing order.\nAnswer: 5602, 35, 5, 0, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.1 times -172420?\nAnswer: -4500162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -0*g - 6. Is 5 a factor of (2\/3 - -1)*g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12610 - 12610 + 6*s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21 and 2457.\nAnswer: 2457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17.68 + -18.68. Which is the smallest value? (a) 51\/32 (b) -2\/5 (c) m (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.1 - -2. Let i = -1.0237 + 0.0237. What is the smallest value in 2\/19, i, p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 10:54 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**5 + 414*y**4 + 10716*y**3 - 55638*y**2 - 579663*y - 981720 = 0. What is y?\nAnswer: -101, -40, -3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*b**2 - 7*b**4 + 3*b**4 + 6*b**4 + 8*b**3.\nAnswer: 2*b**2*(b + 1)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/(-27) - (-12)\/18)\/(12\/28)?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -20, -43, -102, -215, -400, -675, -1058, -1567?\n\"Answer: -3*p**3 - 2*p - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16715589?\nAnswer: 3, 11, 506533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14 - 165\/(-12))*-68. Solve 23*z - 160 = -y*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 5*h**2 + 4*h + 18. Calculate q(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -214771*q - 122. Let x(a) = a**2 + 13*a - 12. Let s be x(-15). Let i be h(s). What is i rounded to the nearest 100000?\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/12*1)\/(1\/(-2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 72719102 take away -6393?\nAnswer: 72725495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*z**2 - z**2 - 4*z**4 + 2*z**4 + (22*z**2 - 23*z**2 + 17*z**2)*(-3*z**2 + 3 - 3) to t + k*z + w*z**4 + x*z**2 + d*z**3 and give w.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 440*n**2*s**3 - 3*n**2*s**2 + n**2*s + 549*n*s**2 - n - 48*s**3 + 7*s wrt s?\nAnswer: 2640*n**2 - 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23 + 22 - 2*f**3 - 2*f**3 + (-f**2 + 0*f**2 - f**2)*(-4 + 4 - f).\nAnswer: -2*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1129848 to the power of 1\/3, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/9, -1, 14, -2\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*v = -63*v - 102 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 4*q**2 + 891*q + 5299. What is b(-6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**2 + 801381*s.\nAnswer: -3*s*(s - 267127)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - -5.959?\nAnswer: 5.659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 1)*(-14*p**3 + p**4 + 18*p**3 + p**4) as l*p**2 + o*p**3 + v + z*p**4 + w*p and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -569.42 + 20.52. Round o to the nearest 10.\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.131, -0.3, 4 in decreasing order.\nAnswer: 4, 0.131, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 6*q - 7. Suppose -3*a = -2*l - 2*l - 24, 2*a = 3*l + 17. Let w be b(a). What is the greatest common factor of w and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 463*z**4 - 9039*z**3 + 10597687.\nAnswer: 1852*z**3 - 27117*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-8))\/(69\/(-644)). Let h be 18\/4*6\/3. Let w = h - p. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -20.3 (b) -4 (c) -0.69 (d) 0.771\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**2\/3 - 73234*b\/3 + 146476\/3 = 0.\nAnswer: -36619, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - a**2 - 2*a + 1. Let m be h(0). Let c be (-1 + 20\/6)\/(m\/3). Calculate the greatest common factor of 14 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-40)*(-28)\/14?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + (9 - 50))\/((-2)\/(-10)). Let x be (15\/(-6))\/(m\/(-60) + -4). Solve 30*l - x = 28*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of -w**4\/4 + 10*w**3\/3 - 9*w**2\/2 + 23*w + 21. Does 7 divide x(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -184*r**2 + 82*r**2 + 79*r**2.\nAnswer: -23*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -11a8466?\nAnswer: -11a8464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/6 - 4\/6. Let j be 0 - 7\/(77\/(-22)). Put k, 6, j in descending order.\nAnswer: 6, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:53 AM and 10:17 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - -3. Suppose -41 = -5*j + l. Suppose -3*o + 27 = 4*z - 5, -3*o + j = 2*z. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(33)\/sqrt(3)*6 + sqrt(176) + sqrt(11) + -2 + (sqrt(275) + 0)*1 + sqrt(275).\nAnswer: -2 + 21*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and 10665.418.\nAnswer: 10668.418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 585827?\nAnswer: 11, 19, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 256091 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 + -18. Let i be 1*(c - 1 - -18). Suppose 641 - i = 2*t. What is t rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/(-6) + (-29 - -19)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v**2 - 2*v**2 + v**2 - 2*v**2 - 4*v**2 + 2*v**2 + (6*v**2 - 2*v**2 - 2*v**2)*(-1 + 3 - 4) + v**2 + 2*v**2 - 5*v**2.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.5188 - -0.62052. Let m = -0.1 + k. Round m to 4 dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74168871 is divided by 18542216.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -563*p**2 + 3*p + 487. Let l(i) = 562*i**2 - 4*i - 495. Let z(h) = 6*j(h) + 5*l(h). What is the second derivative of z(v) wrt v?\nAnswer: -1136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)*-2*-4)\/(sqrt(160)*1).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30425947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7 + 1)*16\/(-48). Solve -l*p - p + 5*c = -19, 2*c = -3*p - 16 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.121*0.044\nAnswer: 0.005324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/27344 and -101\/857918?\nAnswer: 6863344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 169307 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**2 - 4*l + 3. Let q be -10 + (-54)\/(-4 - 5). Let k(m) = -7*m**2 + 9*m - 6. Let w(c) = -2*c - 1. Let n be w(4). Determine n*s(f) + q*k(f).\nAnswer: f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2 - 19. Let h be 7\/q + 6\/2. Differentiate -2 + 1 - 3 - h*f**3 + 2 with respect to f.\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3043\/216 - -134\/27. Let b = -9206261\/572 - -64381\/4. What is the common denominator of f and b?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/8*(19 + -9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 6705 = -11*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 26*14*(-3)\/(-12). Suppose -n = 5*z - d, z + n + 42 = 3*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -r**3\/6 + 13*r**2\/2 + 118*r. Calculate s(12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.10443881472848 and -0.5.\nAnswer: 3.60443881472848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w**2 - 11*w - 3. Let t be h(3). Suppose -2*f = -t*f - 14. Let a be -2 - (6 - 4) - -17. Solve 3*u - a = -f for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4607530749 to the power of 1\/7, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*k - c = 1588, 0 = -3*k + 2*k + 5*c + 22 for k.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1495986922?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2740*v - 893*v - 923*v + 69 - 921*v.\nAnswer: 3*v + 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dde when three letters picked without replacement from {d: 3, e: 9}?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/10*10\/28 + (-852)\/(-497). What is the nearest to 1 in q, 24, -0.72?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2 = 4. Suppose -3*i = 5*u - 61, 2*i + y*i + 3*u = 63. Let s(f) = f**2 + 6*f + 7. Let a be s(-5). Solve 5*r = -a*w - i, 0 = -w - r - 0*r for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2 - 66*q + 2 - 51*q + 43*q - 54*q.\nAnswer: -128*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*u - 8*u - 255 = 0. Let j = 48 - u. List the prime factors of (-4)\/((-243)\/60 + (1 - j)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of u**3\/6 - 22*u - 22. Let l(s) = s**2 + 103. Calculate l(a(v)).\nAnswer: v**2 + 103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2638 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 3*l**2 - 2*l - 9. Let j be w(4). Let x = j - -36. Let y(i) = i**3 - 4*i**2 + i + 3. Give y(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vo when two letters picked without replacement from vovvfloovo?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1656\/(-69))\/(4\/2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -368, -352, -312, -236, -112, 72, 328, 668?\nAnswer: 1104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bmmmbbbbbmc. Give prob of sequence cbbb.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3332944501 to two dps.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 5, 1, -2\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5*s**3 - 42*s**2 + 8*s - 9. Let i(p) = -p**3 + 6*p**2 - 2*p + 2. Give 4*i(q) + t(q).\nAnswer: q**3 - 18*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 121297771811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 759758 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-6)\/(144\/20) + (-21679)\/(-27702) and 31\/1458.\nAnswer: 1458","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54933854 to the nearest integer?\nAnswer: 7412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -347 - -320. Let u(x) = -x**2 - 31*x - 72. What is the least common multiple of u(r) and 6?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -103 - 15*r + 103 to j + p*r and give p.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -33*h - 425. Let s be i(-13). Put -3, s, -365 in decreasing order.\nAnswer: s, -3, -365","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280 = 5*m + 105. Let o be (74\/(-8))\/((-6)\/(-24)). Let q = m + o. Which is greater: q or -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j - 94039 - 6*j - 2*j + 94039.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) 0.4 (b) 0.04 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -105*h**2 - 46010*h - 8760.\nAnswer: -5*(h + 438)*(21*h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25612681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 1010312?\nAnswer: 1010303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 5 = -8*d. Let j be (18\/(-10))\/(-3) + -1. Which is the closest to 2\/5? (a) 3 (b) d (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.63542 rounded to 0 dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 5)*((1 - 1 + 2)*(-9*v + v - v) + v + 4*v + 0*v).\nAnswer: 26*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/(-187) - 466\/(-44))\/(9*2\/60).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10cb + -1163?\nAnswer: -2250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -5, 3\/5, -3, 0.2, 15.246 in increasing order.\nAnswer: -5, -3, 0.01, 0.2, 3\/5, 15.246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, c: 3, h: 3}. Give prob of picking 1 e and 1 h.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 3457717.4 to the nearest one thousand.\nAnswer: 3458000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95007885 = 79*u + 320*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**2. Let y(r) = 26*r**2. Give a(y(b)).\nAnswer: -1352*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5961\/(-5961))\/(1\/(1\/(-18)))?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1430 divided by -286?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 7:01 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 34*k**2 - 3*k - 2. Let s(p) = 17*p**2 - p - 1. Let l(x) = -7*s(x) + 3*z(x). Calculate l(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -40955*b. Let y(z) = 231*z + 1. Determine a(y(x)).\nAnswer: -9460605*x - 40955","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.01, -1.859 in ascending order.\nAnswer: -1.859, -1, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -308673 - -11?\nAnswer: -308662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -5*b**2 + 217. Let c(m) = 81*m. What is z(c(r))?\nAnswer: -32805*r**2 + 217","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**2 + 3*i**2 - i**2 + (4 + 3 - 5)*(0*i**2 - 2*i**2 + 3*i**2)*(1 - 1 + 1).\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 5. Suppose 2 = -y*h - 4. Does 24 divide h*4*74\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7537 (base 14) to base 2\nAnswer: -100111100001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - r - 121, -4*r + 0*r = -3*k + 76. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 118\/153*(-4 + (1316\/48)\/7) and 145\/72.\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47, 171, 381, 683, 1083, 1587, 2201?\nAnswer: 2931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-2))\/(633\/(-1688)*2\/(-3))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 127728?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136484*h + 230 = -136474*h for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50 - 83 - (-15 + -16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/15 or 0.099?\nAnswer: 0.099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5618 + -3224. Let j = o - 1001. What are the prime factors of j?\nAnswer: 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/4)\/a**3)\/(a*a**1*a)**0*(a**(-1)\/(a*a**3))**(-19) assuming a is positive.\nAnswer: a**(367\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/7 + 1070*r\/7 + 2136\/7.\nAnswer: (r + 2)*(r + 1068)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, z: 2, r: 6, d: 2, h: 3}. What is prob of picking 1 z and 3 h?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -15. Suppose -l = 2*t - 5, 0 = 2*n + 3*t - 6. Let v(p) = -p**3 + 3*p**2 + 6*p - 5. Let j be v(4). Solve n = -d + j*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 33 in decreasing order.\nAnswer: 33, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8*(-9)\/144)\/(-12 + (-162)\/(-12)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 246833 and 246831 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1171777448 - 5.\nAnswer: -1171777453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4962 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iu when two letters picked without replacement from {u: 1, i: 9, c: 1, j: 8}?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 3*b**2 - 5*b - 8. Let v be k(-3). Let j be 4 + (-1)\/((-3)\/(-9)). Put -2, v, j in ascending order.\nAnswer: -2, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -22, -35, -48, -61, -74?\n\"Answer: -13*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 o when two letters picked without replacement from kokoookoooooookook?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 14 = 3*a. Suppose 21*w - 17*w - 224 = 0. Calculate the greatest common divisor of a and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 + -2579?\nAnswer: -2585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(187)*5*1*6)\/((sqrt(1331) - (sqrt(1331) + (sqrt(1331) - sqrt(1331)*-1)))*1 - (sqrt(1331) - (sqrt(1331) - (sqrt(1331) - sqrt(1331)*-1)))*-3).\nAnswer: 15*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50 - 27. Suppose -4*q = -3*i - 27, 20 = 4*q + i + 3*i. Suppose 1 + f = q*y. Calculate the greatest common factor of y and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1318878 and 1719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is a1137 (base 14) in base 15?\nAnswer: 79a9e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.00996, -5, -0.5, 1.2, -0.02?\nAnswer: 0.00996","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -26304b29 - 6?\nAnswer: -26304b33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwowbwwkbbboboo. What is prob of picking 3 b and 1 w?\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48317887?\nAnswer: 617, 78311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2)*z**(-1\/6))\/(z\/z**1)**(-2\/87))\/((z*z\/z**(-2\/5))\/z*z**(2\/3)*(z**(-1\/2))**18) assuming z is positive.\nAnswer: z**(143\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 + 53765\/10)*-15*24\/(-300) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -r + 3, 4*r = -3*z + 7*r for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 896705 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 7*z - 10 = 0. Sort -4, z, 9 in descending order.\nAnswer: 9, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7267668 to the power of 1\/3, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w**2 + 0 + 3*w**2 - 2 - w**2. Let y(q) = -q**2 + q + 1. Give d(n) + y(n).\nAnswer: 3*n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24870620?\nAnswer: 2, 5, 19, 65449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 394*i - 138318 = 356*i + 1168084. What is the thousands digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4475\/2 + -3*1\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 721457 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-4) + (-15)\/4. Let m = -189 + 206. Let t = v + m. What is the remainder when 23 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1532777 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (15582\/(-196))\/((-3)\/(-2)). Is -5 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15857641 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2703858 - 4?\nAnswer: 2703854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xtssseessisgsset. What is prob of picking 1 s and 1 i?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-9))\/(10\/60).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -f - 20. Suppose -f*a = 5*a - 8937. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.34 + -10.34. Which is the closest to 0? (a) g (b) -5 (c) -2\/5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4\/911 + 51028\/2733. Let 98\/3*b**2 - i*b + 8\/3 = 0. Calculate b.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.995914 days in minutes?\nAnswer: 12954.11616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 p, and 1 b when three letters picked without replacement from {q: 4, p: 1, i: 4, b: 2, z: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4402*t**2 - 11752*t**2 + 4301*t**2)*(-t**3 + 4*t**2 - 4*t**2).\nAnswer: 3049*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 16. Suppose y*t - 30296 = -3*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59824926 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2037, -12, 81.\nAnswer: -2037, -12, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148467*p**2 + 2*p - 2*p.\nAnswer: 148467*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 336 and 2079?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 80484492 divided by -25946\nAnswer: -3102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 27537458 to the power of 1\/3, to the nearest integer?\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {i: 4, m: 10}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 4:30 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -23, -42, -63?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3643 + 3250*f**2 + 19*f - 6582*f**2 + 3241*f**2 with respect to f.\nAnswer: -182*f + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3873\/2 - -1976. Calculate the common denominator of i and (-243)\/(-66) - 1\/(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -r - 0 - 2, r - 7 = 4*h. Let q(y) = y**3 + 2*y**2 - 1. Let z be q(-2). Let n be (z\/(-3))\/(1\/3). What is the closest to n in r, -4, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 5*k**2 + 2*k - 9. Suppose -4*i - 15 = -7*i. Let j be z(i). Solve 2 = -d, -j = t - 2*d - 8 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 11*j + 26. Let p be u(-8). Suppose -3*t - t = p*t. Let f = 1.3 - 6.3. Which is the closest to t? (a) 3\/7 (b) 1\/4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 461795819?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 259 and -13.\nAnswer: -3367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 40 divided by -302354\nAnswer: -20\/151177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3 = 3*p, -8 - 5 = -k - 5*p. Let w(b) = -k*b + 2*b + 2*b. Let i(m) = -27*m. Determine w(i(c)).\nAnswer: -27*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 35566255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -5*n - 3. Suppose 8*y + 8 = 2*x + 4*y, x + n*y + 11 = 0. Which is the second biggest value? (a) 0.4 (b) x (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 5, 298*q - 89 = 296*q - y. Calculate the highest common factor of 18 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r**2 - 2*r**3 + 14*r**2 - 10*r**2.\nAnswer: -2*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -5, 1718 in decreasing order.\nAnswer: 1718, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 63.5801 millennia?\nAnswer: 762961.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10509 + 10257. What is the fourth biggest value in -2\/7, 3\/2, 4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 20 + 5 + -4?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 112396.\nAnswer: 561980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.09 and 0.17.\nAnswer: 0.0153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 6. Let f be t\/30 - 31\/(-9). Let d = f + 4\/9. Find the common denominator of 40 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(104)\/(sqrt(48)\/sqrt(600)) + (sqrt(52) - sqrt(104)\/(sqrt(8)\/sqrt(4)))\/(-1*sqrt(4)*6 - sqrt(4)))**2.\nAnswer: 20800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168267 and 156761.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 341117215 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1997814 is divided by 2973.\nAnswer: 2931","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 5:23 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3062021, -12248007, -27557985, -48991955?\n\"Answer: -3061996*p**2 + 2*p - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + sqrt(252) + 1)**2 - (-3 + 0 + sqrt(252))*-4.\nAnswer: 240*sqrt(7) + 1554","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 61, 55, 51, 49?\n\"Answer: x**2 - 9*x + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -20392 - -2?\nAnswer: -20390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1123*a + 1156*a - 700 = -40 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 253670.04 rounded to the nearest 10000?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -67 + 26. Let h(d) = -6*d**2 + 2*d + 2. Let s be h(-3). Let b = i - s. Is b a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hrk when three letters picked without replacement from {h: 8, k: 8, r: 1}?\nAnswer: 4\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0852559 plus -0.043896?\nAnswer: -0.1291519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6192853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 9542*a - 2*a**3 - 9542*a - 5 + 2*a**4 as r*a**3 + k*a**4 + z + n*a**2 + t*a and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 7 + -2 - 7 - -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*n*v - 82*n + 54*v + 3 with respect to v.\nAnswer: 9*n + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/11))**28 assuming y is positive.\nAnswer: y**(56\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, s: 2, i: 4, l: 8}. Give prob of sequence lisl.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 - 11*a**3 + 157 - 121.\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 308 a factor of 628012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 79?\nAnswer: -7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(85) - -5*(sqrt(85)*2 - sqrt(85))))\/(2*-4*sqrt(20)).\nAnswer: 3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 12 = 8*y. Suppose m - y*m + 1257 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 223*r - 215*r - 104. Solve 4*v = 5*h + 16, -3*h - 7 = -5*v + r for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b**3 + 4*b**2 + 3*b - 7. Let x(o) = o**3 + o**2 + 1. Determine s(a) - 4*x(a).\nAnswer: -a**3 + 3*a - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*b = -2 - 2, -2*c = 2*b - 4. Let q = 2 + c. Suppose -4*s = -q*t - 6, 2*t + 5 - 1 = 3*s. Solve 9 = 3*j - 3*y, -j = -s*j + 4*y + 15 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -108*j**3 - 2*j**2 + 108*j**3 - 24*j**4 - 2*j - 2*j**4 + 2*j + (-2*j**3 + 3*j**2 - 3*j**2)*(-3*j + 4*j - 3*j) + 4*j**4 - 5*j**4 + 2*j**4.\nAnswer: -21*j**4 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 516\/(-13846)*(-5)\/((-15)\/(-7)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5300 + -a3?\nAnswer: -53a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n. Let d(o) = 4269650*o**2 - 2*o. Give m(d(h)).\nAnswer: -8539300*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13, 19, 25, 31?\n\"Answer: 6*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49647*u**4 + 148950*u**3 + 148968*u**2 + 49674*u + 9.\nAnswer: 3*(u + 1)**3*(16549*u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -303 + 303. Suppose -4*w - 5*s = -w - 405, -2*w + 4*s + 270 = x. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*d**5*v**2 + 7689*d**2*v**2 - 18*d*v**2 + d*v - 2*d + 3*v**2 wrt d?\nAnswer: 80*d**3*v**2 + 15378*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 256.3 + -256.302842. What is x rounded to 4 decimal places?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4160 - 731. What is the thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 + 3 = w + 4*f, 28 = -4*w + 4*f for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**3 - 4*v**3 + 5*v**3 + (180 - 180 - 146*v)*(-3 - 4 + 3)*(0*v**2 - 2*v**2 + 0*v**2).\nAnswer: -1166*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 105\/(-115)) + -507 + 505.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13902.05 nanoseconds in milliseconds?\nAnswer: 0.01390205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -m**5*r - 31756*m**3*r*x**3 + 3*m**2*r*x - 3*m*r*x + 4*m*x + 3*r*x**2 - 13*x**3 wrt m?\nAnswer: -60*m**2*r - 190536*r*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -15 + -2a069?\nAnswer: -2a083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -7 + 6 + (546 - 3)\/3.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1191 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 94\/(-5) + (-2 - -2). Suppose 5*l + 99 = -3*m + 22, 0 = -4*m + 3*l - 64. Let x = m - i. Which is smaller: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 483914.\nAnswer: 2, 131, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*y**3 + 8619*y - 25877*y + 8631*y + 31*y**3 + 27*y**3 + 8626*y.\nAnswer: 41*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3340026458 rounded to three decimal places?\nAnswer: -0.334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, o: 4, r: 4, e: 5, v: 4, u: 2}. Give prob of picking 2 r, 1 i, and 1 v.\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-18)*(-1131)\/(-52) - -5\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7571 is divided by 1073.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 4*b + 19, -10*b = 3*d - 14*b + 11. Suppose 0 = -3*k + 6, 4*k + 47 = 6*w - w. Let z = d + w. Calculate the highest common divisor of 66 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 136 - 72. Suppose -576 = 252*n - 261*n. Is i greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -32.5 + -98.5. Let x = 2021127.61 - 2021258.609903. Let m = x - p. Round m to 5 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 212*a**3 + 35*a**5 - 10*a**2 - 413*a**3 + 216*a**3 + 60*a**4 = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 13*p**2 + 21*p - 7. Let l be y(-15). What is the greatest common factor of l and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12936, 25892, 38864, 51852, 64856, 77876?\nAnswer: 90912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1632 is divided by 259.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r + 63 - 63. Let j(g) be the second derivative of -g**3\/6 - g. Calculate n(j(u)).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (234 + -38 - 40)*1\/3.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -11\/53 (b) 0 (c) -5 (d) 18 (e) 1.6 (f) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/7688? (a) -2\/207 (b) 5 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 9*b - 158. Let r be 6\/4*(-10)\/b. What is the closest to r in 0.2, -1\/2, 8, 1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c - c - 3*c + (5*c - 2*c + 0*c)*(4 - 3 + 1) - c - c + 0*c - c + 6*c - 2*c)*(-1 + 1 - 2*c).\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (1 - (3 + 1 + -6))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 60*j**2 - 2*j - 5. Let z be h(-4). Suppose -5*k - 148 = -z. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17860, 35763, 53680, 71617, 89580, 107575?\nAnswer: 125608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by 8335?\nAnswer: 2\/1667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25785, 132, -4 in increasing order.\nAnswer: -25785, -4, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6387 - -6563. Is 2 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -19*s**3 + 68*s**2 - 114*s + 17. Let j(h) = -18*h**3 + 69*h**2 - 114*h + 18. Let g(n) = 6*i(n) - 7*j(n). Suppose g(u) = 0. Calculate u.\nAnswer: 1\/4, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o - 131*v + 268*v = 135*v - 341, -4*o - 198 = -2*v for o.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1373 - 1483*i - 682 - 691 to v*i + w and give v.\nAnswer: -1483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -121 - -124. Let y be (f + -1)*-1 + 60\/15. Solve y*a + 2*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8162 = -220*r + 242*r. Calculate the remainder when r is divided by 63.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -164389.\nAnswer: -328778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000110 - 10010100000000?\nAnswer: -10011000000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24782815.\nAnswer: 5, 4956563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2150 - -50120344?\nAnswer: 50122534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 8. Suppose 3 = -m + 7. What is the greatest common factor of j and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11348086?\nAnswer: 2, 1409, 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (89 - -487)*58\/348\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -83135419*g**5 - 5*g**2 - 12823433*g wrt g.\nAnswer: -4988125140*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27998 - 27998 + 16*b**5 + 6*b**2 + (-2*b + 0*b + 0*b)*(-2*b**4 + 0*b + 0*b).\nAnswer: 20*b**5 + 6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -32\/132857 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 28 = -a - 20, 0 = -2*g - 4*a + 58. Calculate the highest common divisor of 200 and g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 263, 519, 783, 1049?\nAnswer: 1311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4838 - 5134. What is the second biggest value in u, -1\/2, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1359361657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2770 * 0.4014.\nAnswer: -1111.878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 - 5*s**2 - 8*s - 3. Let l = -3 - -3. Let a = l - -4. Let x be (a\/(-10))\/(4\/(-60)). Give j(x).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3759 - -3763. Solve o*l = -5*u + 33, -14 = 3*l - 46*u + 42*u for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5*o - 9*n + 110, 84 = 4*o + 5*n. Calculate the remainder when o is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*4*-1)**2 + -1.\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 38?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l**2 + 4*l**2 - 7*l**2. Let q(h) = 139*h**2 - 136*h**2 + 4 + 3 - 7. Determine q(u(o)).\nAnswer: 147*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 3*u + 14, 3*u - 14 = -3*c + 4. Solve -2*q + j - 8 = 0, -2*j - 16 = c*q - 5*j for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f. Let y(n) = 4*n + 5. Let d(c) = 8*c + 10. Let p(z) = -4*d(z) + 7*y(z). Let j(g) = 5*g + 6. Let w(s) = 5*j(s) + 6*p(s). What is -a(m) + 3*w(m)?\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 12529156.43 to the nearest 100000.\nAnswer: 12500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*f - 0*p + 8, -5*f = -4*p - 2. Solve -3*x**4 + 0*x**2 + 6*x + 15*x**3 - 3*x**3 - 15*x**f = 0 for x.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/11, 0, 322, 3\/4?\nAnswer: 322","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1545123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 231, 260, 275, 270, 239?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 0*n + 5*n - 16, 5*n = 5*d - 40. Suppose -12 = -d*u + 6*u. Let c be (-2 + 21\/6)\/(2\/u). Solve j - c = -2*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2950 and 1835875.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -9*(1\/14 + (-13157)\/9366). Let a be (1 - -2)\/(3\/10). Calculate the highest common factor of a and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 74383 or 74381?\nAnswer: 74383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = d + 23274. Let u = d + 38827\/10. Find the common denominator of (-8)\/28 - (-1696)\/(-140) and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 424175668 to the nearest integer?\nAnswer: 751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.9 - 0.1. Let o = 1.8 + h. Let s be (4\/(-2))\/(4\/(-10)). Which is the smallest value? (a) 2 (b) o (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4534036489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 206324 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -2, 3132, -4, -1.\nAnswer: -5, -4, -2, -1, 0, 3132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3c474d + 209?\nAnswer: -3c4544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 11) in base 5?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -47476\/57 equal to -833?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uwwhuhithtitsu. Give prob of sequence wsh.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4684122 is divided by 17609?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 67, 249, 609, 1207, 2103, 3357, 5029?\nAnswer: 7179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2509004009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*-1*184\/16. Let z = c - -65. Is z a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64 divided by -4\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 7:07 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-7))**(2\/19) assuming a is positive.\nAnswer: a**(-14\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/50? (a) -5\/9 (b) -3\/8 (c) 4.44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*-2*-5 + sqrt(153) + sqrt(153) + -1*sqrt(153)*2)*3 + -1.\nAnswer: -1 + 90*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -194*0.01776412\nAnswer: -3.44623928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-96)\/(-20) - (22\/(-10) - -2). Solve i - 1 = 4*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - v + 174, -2*m - 4*v - 23 = -149. Is m <= 56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 3) to base 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42860250?\nAnswer: 2, 3, 5, 43, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3}. Give prob of sequence qqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -18*y - 63. Let s be p(-4). Suppose -558 = s*r - 11*r. List the prime factors of r.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 1:12 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, d: 1, e: 1, h: 1, i: 1}. Give prob of picking 2 z and 1 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + 2\/2 - -1. Suppose -25 = -f*l + l. Solve -3*u = 5*z - 2 - 2, -17 = -4*u + l*z for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29.6 + 30. What is the nearest to 1\/2 in -1\/3, 2\/15, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 558 is divided by 41.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4 - 248*h - 17 + 8 + 2. Let c(z) = z. Give g(c(o)).\nAnswer: -248*o - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1420*q - 622*q + 308*q**2 + 310 - 179*q - q**3.\nAnswer: -(q - 310)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*y - 31*y = 24. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 2. Let c be 3 + (o - 3) + 2. Let 2*h**3 + h**4 + 0*h + 1 + c*h**2 - h - 4*h**2 - h**5 = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.42 + -0.06. What is r rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*z = 5*y - 8, 0 = -4*y - 4*z. What is the second derivative of 5*c**y + 5*c - 6*c**2 + 6*c**2 wrt c?\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 173, -138?\nAnswer: 173","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from woruwwwuoioiuiiu. What is prob of picking 1 u and 3 o?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57011 is divided by 2277?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -72592 - -105221. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1166283*x**2 - 2234151*x?\nAnswer: 2332566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 3*q - 26, 4*q + 126 = -5*t + 149. What is the closest to t in 30, -1, 5\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 j when three letters picked without replacement from {p: 2, j: 9, g: 2}?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - 3*m + (-2 + 5 - 1)*(m + 2*m + 0*m))*(2*m**2 + 76*m**3 - 40*m**3 - 4*m**2 + 2*m) in the form v + p*m**3 + c*m + n*m**2 + q*m**4 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11934 - -11953. What is the fifth smallest value in -1\/3, 0, 3, -1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29869421 divided by 1?\nAnswer: 29869421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4528270 rounded to the nearest one hundred thousand?\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by (11\/(275\/(-20)))\/((-7)\/175)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of -t**2 - 9*t + 8. Let i be o(6). Let r = -233\/11 - i. Which is the second biggest value? (a) -0.4 (b) r (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1120333 + -11200?\nAnswer: -1132133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -12*o + 95. Let q(n) = 2*n - 14. What is 5*l(d) + 35*q(d)?\nAnswer: 10*d - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1206 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 1863.\nAnswer: 186.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -105 - -104.08. Let n = 50.08 - u. Let z = -49 + n. Is 14 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/((-72)\/(-120)))\/(9\/3*6\/126)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1, -4, 2, -9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38738, 38814, 38884, 38948, 39006?\nAnswer: 39058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35.03 + 35.194. Which is greater: 3\/4 or n?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -63 - -68. Suppose f + 0*z + 4*z = 4, -j*f + 5*z = 105. Let g be (-16)\/24*3 - 38\/f. Which is greater: g or -0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 231256625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.1 - 1. Let s = -0.13075 + 3.13075. Which is the closest to z? (a) s (b) -5 (c) 13\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, o: 3, z: 3}. Give prob of sequence oz.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1235 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of (-1080)\/18*(1 - (-170)\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 + (-5 - (13 + -19)). Let c(p) = p**3 - 7*p**2 - 11*p - 9. Calculate c(b).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24841 is divided by 90?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -5. Let p be 13\/39 - (-4)\/(-9)*-6. Suppose -p*v + 5*v = 4*m, -x*v + m = -9. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.564, 0.5, -2\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 7*m + 3. Let l(g) be the first derivative of 7*g**2\/2 + 4*g - 5558. Determine 6*b(p) - 5*l(p).\nAnswer: 7*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15930?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 49 = 4*q + 2*a, -53 = -5*q - a. Calculate the remainder when q is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 7*i**2 + 10*i + 10. Give z(-7).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(-5)\/2 + 21. Let f(h) be the first derivative of 1\/3*h**2 - 1\/6*h**4 + 2*h - 2\/3*h**3 + t. Find b such that f(b) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*r = 47*r + 1288. Calculate the highest common divisor of r and 7259.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 4*o**3 - 4*o**2 - 3*o - 4. Let x(d) = -11*d**3 + 11*d**2 + 8*d + 11. Calculate -8*p(s) - 3*x(s).\nAnswer: s**3 - s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2*1*(-4*-1*sqrt(1008) + 2*(sqrt(1008) + sqrt(1008)*1 - sqrt(1008))) + 0)**2.\nAnswer: 145155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2 - 9*u - 3. Let t(y) = 3*y**2 - 15*y - 5. Let j(n) = -3*t(n) + 5*w(n). Let c(v) = -1357*v**2 - 3. What is c(j(s))?\nAnswer: -1357*s**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((25 - 41)\/(-80))\/((50\/85)\/10).\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(12) + 5 - sqrt(192)*2) + -4) - (5 + sqrt(27) + -4 + sqrt(3) - 1*(2*sqrt(3)*-6)**2).\nAnswer: -18*sqrt(3) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqm when three letters picked without replacement from mmqmmmmmqmmmmqmm?\nAnswer: 13\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of a**2 - 85*a + 155. Let q be p(56). What is the highest common factor of q and 171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in months?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -21*x**4\/4 - 9*x**3 - 23. What is the third derivative of r(i) wrt i?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 7) in base 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*v - 62 = 34*v. List the prime factors of v.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 7*u**2 - 48*u - 344. Give y(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 9*d - 6. Determine y(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24620481?\nAnswer: 3, 2735609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1352.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 6*r - 5*r. Suppose r = 33*a + 8 - 272. What is the remainder when 28 is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or -12497?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j + 8 + 0*j**2 + j**2 - 2*j**4 - 11 in the form k*j**2 + f + q*j + i*j**4 + t*j**3 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 + 1)*(-2 + 3). Suppose -w + 3*j = 6*j + 1, -66 = -4*w + g*j. Solve p - 3 = -0*p + n, -5*p = -4*n - w for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/3 + 3*o.\nAnswer: o*(o + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 3*z**2 - 582*z + 28227 = 0?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 832522 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 - 3*m**3 + (m**2 + 3*m**2 - 2*m**2)*(-2*m - m + 2*m) + 12*m**3 - 142*m + 142*m.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -24755370 rounded to the nearest 100000?\nAnswer: -24800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(2 - (-4)\/(-3)). Let m be (-6)\/(-15) - (-294)\/15. Suppose p - m = -q*p. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 6:14 PM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 46 = -26 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -21790896, -43581813, -65372730, -87163647?\n\"Answer: -21790917*j + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 10) in base 4?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*t - 3831 + 838 = 1339. What is the greatest common factor of t and 10678?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3*t**3 - 3*t**2 - 4*t - 2. Let y be i(-2). Suppose -2*k + k - 4*r = -18, -3*k - 3*r = -y. Which is bigger: 10\/9 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 + 5*x + 2. Let c be h(-5). Let o be (3\/c)\/((-2)\/(-4)). Solve -4*b = -2*v + 4, -5*v + o = -2*b + 17 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -63033\/2 or -31516?\nAnswer: -31516","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/31))**16\/(l\/l**(1\/28))**(1\/9) assuming l is positive.\nAnswer: l**(803\/868)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvuu when four letters picked without replacement from {v: 5, n: 4, u: 6}?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 91 and 78.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, q: 7, u: 1, n: 4, y: 3}. What is prob of sequence ynun?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 199483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 388800 = 2092*j - 2082*j. Is 270 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2. Let f be (-76)\/12 - 4\/6. Let i(j) be the first derivative of 3*j - 1. Let d(h) = h**2 + 7. Let t(l) = f*i(l) + 3*d(l). Calculate t(q(v)).\nAnswer: 3*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*y = -3 + 17, x - 2*y = -6. Solve -x*j + 21 = 4*a - 3*j, 4*a = -2*j + 26 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 2959*i + 23727. Determine a(8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 - 3*f + 2. Let j(k) = -2*k**2 + 4*k - 3. Let w be 1 - 0 - -3 - 8. What is w*c(r) - 3*j(r)?\nAnswer: -2*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 765 divided by -375694\nAnswer: -765\/375694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by (240\/18)\/((-2)\/(-3)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*r + r. Let d = -207 + 219. Suppose -7 = 5*g - d*g. Sort -3, r, g in decreasing order.\nAnswer: g, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8127)\/86*((-8)\/(-12))\/((38\/19)\/2).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**3 - 23*o**2 - 31*o - 37. Determine c(13).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-1\/5))\/c*c*c)**(-21) assuming c is positive.\nAnswer: c**(-231\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4016196 by 108.\nAnswer: -37187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -98*r**3 + 249*r**2 - 6*r - 3. Calculate n(-1).\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4902 - 2438. Suppose 5*t = -3*f + g, 2*f - 4*t = -2*t + 1648. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-608)\/(-56) + -10)*(-7)\/(-63).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.500543 to two decimal places.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29\/4 + 327\/44. Let r = 101 - 96. What is the closest to q in -1\/2, r, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (26\/8)\/((-3)\/(-108)). What is the highest common divisor of 13 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*4\/2*-1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/2224 and -143\/1227480.\nAnswer: 341239440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of 47*m**6\/60 + m**4\/12 - 34*m**3\/3 + 780*m**2. Differentiate h(c) wrt c.\nAnswer: 282*c**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - k = 216 + 411, 0 = -4*k - 16. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18005.1 + -18005. Let d = 5091\/185 - 547\/20. Let x = -3\/37 - d. Which is smaller: x or v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20558 divided by 10279.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -213310 (base 4) to base 12\nAnswer: -1584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r**2. Let v(o) = -38018*o**2 + 76655*o**2 - 37613*o**2. Determine v(s(n)).\nAnswer: 9216*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21373.\nAnswer: 11, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 83\nAnswer: -41.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 83725 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -24*c*d + 196*c + 40809*d wrt c?\nAnswer: -24*d + 196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/1)\/(6\/8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163591 = 3*t + j + 36071, 5*t = -j + 212530. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = -9*u + 22*u. Let x be 10 - ((-5)\/(-1) + -2). Solve -2*z - x*z = u for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9087 - 4?\nAnswer: 9083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 59 + 172. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1096882 is divided by 101?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) - (sqrt(99) + 1)**2)*-6.\nAnswer: 18*sqrt(11) + 600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.308, -1\/7, -3 in increasing order.\nAnswer: -3, -1\/7, 0.308","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 31231?\nAnswer: 31230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*y + 3840 = 59*y + 11*y for y.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(2\/11)\/q)\/q*q\/((q\/q**(2\/7)*q)\/q))**9)**(6\/19) assuming q is positive.\nAnswer: q**(-6372\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 e when two letters picked without replacement from {e: 2, s: 1, k: 7, v: 1, m: 8}.\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 364 and 208.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-3\/7)*k*k**3\/k assuming k is positive.\nAnswer: k**(18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 29*v**2 + 53*v + 22. Determine z(-27).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 19*k + 43. Let w be s(17). Solve 33 = 8*q + w for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - (-126)\/49 - 2070\/(-1890). Suppose j + j = 4. Let q*u**j - 2 - 4\/3*u = 0. What is u?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-132*x - 3255 + 3255)*(-3 - 3 + 3 + 2).\nAnswer: 132*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-8))\/o*o*o**(-14)*o*o**(3\/5)*o\/o**3 assuming o is positive.\nAnswer: o**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55324911 by -6.\nAnswer: -18441637\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*2*6\/(-8). Let k be (5 - (t + -6))\/1. Suppose -22 - 10 = -k*l. What is the least common multiple of l and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52324 + -33989. List the prime factors of i.\nAnswer: 5, 19, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by -10 + 14 + 1\/((-2)\/(-252)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 22*t - 77. Determine q(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 7306744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/6)\/(2\/(-3)). Let j be (4 + 0)\/2*k. Let i = 3 - j. Solve i*g + 4*r = -4, 2*g = -0*r - 2*r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence amse when four letters picked without replacement from {i: 2, m: 2, s: 2, e: 2, a: 2, g: 4}?\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -38412543*l**6 - 27088792*l**2 wrt l?\nAnswer: -4609505160*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - (-145 - -112 - (-56 - -6))) + -14 + 1.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (2 - (-1 + 2)) - (665 - 671)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-3\/11)*t**(-6\/5)*(t*t**(-1\/10))\/(t\/(t**(-2\/7)*t)) assuming t is positive.\nAnswer: t**(-661\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + (-294)\/296)\/((-1)\/(-4)). Sort 2\/19, j, -3, -4 in ascending order.\nAnswer: -4, -3, j, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -442*o - 63*o + 21796787 = 3961702. List the prime factors of o.\nAnswer: 35317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -6 (b) 3 (c) -689 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.1 in 0.2, -3\/4, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d + 10. Let x be t(-6). Suppose 2*h - 6 = -x. Suppose k + h = 3*j - 2*j, 3*j - 3 = k. Solve 4*i + 15 + j = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001006153 to six dps.\nAnswer: 0.000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 9:44 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5*f**2 - 43*f + 164. Determine h(4).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1102, 3516, 7334, 12556?\n\"Answer: 702*i**2 + 308*i + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10701 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38110 divided by 103.\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**4\/8 + x**3\/2 + 8*x**2. Let d be (-4)\/10 + 46\/(-10). Give v(d).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -48741659 or -48741662?\nAnswer: -48741662","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 390*q**2 + 133*q - 1. What is the tens digit of y(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -7*h - 48, 0 = -2*i - 2*h + 47 - 96 + 43 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y**2 + 0 + 0)*(y**2 + 2*y**2 - 5*y**2) + 2 + 15*y**4 - 2 in the form l*y**3 + i*y**4 + u*y**2 + n*y + z and give i.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/75 and 76\/21.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3 + 146664*f**2 + 1026775*f - 11440338.\nAnswer: -(f - 146671)*(f - 6)*(f + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000291 to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 253849726?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kfkkkffkkfkkf. What is prob of sequence fkfk?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**3\/9 + 80*b**2\/9 - 104*b + 288 = 0.\nAnswer: 4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**2\/9 - 2*s - 28\/9 = 0 for s.\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.7 + 2.7. Which is the closest to i? (a) -1\/5 (b) 8 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 63590*h + 6740559. Calculate l(-106).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-12)*q*q\/(q\/(q\/((q\/((q\/(q*q**8))\/q))\/q)))*q*(q**16*q)\/(q*q**13) assuming q is positive.\nAnswer: q**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g + 1. Let z be m(4). Let l be 2\/(2 + 12\/z). Let t = 0.2 + 0.3. Which is the nearest to 0? (a) 3 (b) t (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 2*l - 2*l + 0*l + 3*l as n*l + f and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/6990 and 56\/3495.\nAnswer: 6990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -102787 divided by -3?\nAnswer: 102787\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1667317?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*g - 117. List the prime factors of g.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.26 times 1.4\nAnswer: -0.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 178*j**2 + 46*j + 193. What is the units digit of b(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -344*g**3 + 149*g**3 + 135*g**3 + 62*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ajrv when four letters picked without replacement from rjajvrr.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/4, 13, 4, -0.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 2*m - 5*o = 4, -32 = -2*m - 5*o. Let i(a) = -410*a + 824*a - 407*a - 6 - a**2. Give i(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 62677691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -385 divided by -12825?\nAnswer: 77\/2565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98, 159, 230, 317, 426, 563?\nAnswer: 734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 610608 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -a + 4*a + a + 4*h + 6 + 6, -4*a - 3*h - 13 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7012 - 4912. What is g rounded to the nearest 100?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 - -110. Suppose 0 = 2*t + 104 - 352. Suppose 93*b = f*b - t. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**4*y - 543877*m**3*y - 19*m**2*y - 14*m*y + y + 15 wrt m?\nAnswer: 48*m*y - 3263262*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1456?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 26*n**2 + 13*n - 343. Give r(26).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.890018 days in weeks?\nAnswer: 0.698574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1994783, 7979133, 17953049, 31916531?\nAnswer: 49869579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*r + 15*r - 42*r - 11*r in the form c + x*r and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**3\/11 + 22598*m**2\/11 - 675596*m + 7408960\/11 = 0. Calculate m.\nAnswer: 1, 338, 10960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 - 7*a**2 + 8*a - 3. Let l be u(-8). Let m(h) be the first derivative of -h**4\/4 - h**3 - h**2\/2 - 2*h + 2. Determine m(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/(-9))\/((-2)\/(-6)). Calculate the remainder when -2 + (r + 0 - -46) is divided by (-23)\/1*(-2 - -1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 3*r - 5*c, -8*r - 16*c + 323 - 103 = -13*r + 147 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 7. Suppose -5*u + z*u = -5. Solve i = u*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 16 + 7*s - s + 3*s - s**2. Let w be b(11). Let p(a) = -a**2 - 6*a - 3. What is p(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*m + 21*m = -34*m + 124 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -73\/76 - 186\/19. Suppose -q - 195 = -2*t, -4*t = 4*q - q - 415. Find the common denominator of d and (-9)\/4*t\/24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135194 (base 13) in base 14?\nAnswer: c2907","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 9, f: 4, j: 1}. What is prob of picking 1 f, 1 j, and 2 n?\nAnswer: 144\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 + 4*n + 3. Let g(h) = 4*h**2 + 12*h + 8. Let x(t) = 3*g(t) - 10*k(t). Let x(q) = 0. Calculate q.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of 3*c**5\/20 - 7*c**4\/20 - c**3\/10 + 9*c**2\/10 - 58*c. Let g(b) = 0. What is b?\nAnswer: -3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(7)*-2)**2 + -4*sqrt(28) - (sqrt(567) + (sqrt(567) - 1*-1*sqrt(567)) + 5).\nAnswer: -35*sqrt(7) + 443","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**3\/8 + 63*c**2\/4 - 243*c\/8 - 6561\/2.\nAnswer: -3*(c - 27)**2*(c + 12)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j*(j*j**5)\/j)\/j)*j**(1\/16))\/(j**(-2\/15)\/j**(-3))*((j**(1\/4)*j)\/j*j**0*j)\/((j\/j**0)\/j**8) assuming j is positive.\nAnswer: j**(347\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 434\nAnswer: -1736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h**2 + 5*h. Let v(d) be the third derivative of d**5\/15 + 5*d**4\/24 + d**3\/6 + 1973*d**2. What is 3*k(b) - 2*v(b)?\nAnswer: b**2 + 5*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = 5*i - 4*i. Which is smaller: i or -36\/7?\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10\/55 - (-64)\/11. Suppose 0 = -3*a + 4*d - 20, a + 3*d - 15 = k*a. Find the third derivative of 0*v + a*v + 2*v**2 + v**4 wrt v.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*r + 10*r - 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -463 + 469 - ((3 - 1) + 0 - -12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 0. Suppose 3*l + u = 6. Let b(q) = 2*q**2 - 4*q + 2. Let a be b(l). Solve -6 = -k - a for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 191102578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004975 to four dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3023 = 4*j - 433. Let i be 9*12\/j*6. Factor 0 + 3\/2*x**4 + 3\/4*x - i*x**5 - 3\/2*x**2 + 0*x**3.\nAnswer: -3*x*(x - 1)**3*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -162, -180, -218, -282, -378?\n\"Answer: -d**3 - 4*d**2 + d - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31293 and 122.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 1 + 0)*(0*y + 2*y - 3*y)*(124 + 138 - 262 + 3556*y - 31*y).\nAnswer: -21150*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*c - 22. Calculate the smallest common multiple of 35 and c.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*d + 35 = 12, 0 = 3*m - 4*d - 13. Let l be (1 + -2)\/(m\/33). Sort -0.5, l, -1\/4, -2\/9.\nAnswer: l, -0.5, -1\/4, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.713687ug in grams?\nAnswer: 0.000006713687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 3*k**2 + k**2)*(-2 - 1 + 1)*(k - 2*k + 6*k).\nAnswer: -30*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**3 - 18*i**2 - 55*i + 590. Let f be y(9). Calculate the greatest common divisor of f and 2546.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 801*u**3 - 1020*u?\nAnswer: 4806*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 19*j**2 - 95*j + 225. Give t(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 19 = -2*c + 5*c, -74*c + 70*c = 3*g + 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -11*j**2 - 151*j - 20. Let w be n(-9). What is the greatest common factor of w and 7392?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 5*i - 11*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14380\/9 at least 1599?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 208\/666023 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*f - 37*f - 20 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hfaonfg. Give prob of sequence gn.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, k: 6}. What is prob of picking 1 s and 1 k?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001008806 rounded to seven decimal places?\nAnswer: 0.0000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**3 - g**2 + 5*g + 4. Let y be q(-3). Let b = y + -30. Solve -b*o + 5 = o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (24\/4)\/((-2)\/(-3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 4*w + 5*x - 15, 3*w - 5*x = -15. Suppose -4*a + 15 = a. Suppose 3*d - d - a*p - 84 = 0, -4*d - 5*p + 146 = w. Is d a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2771*b**3 + 5*b - 2696*b**3 - 9.\nAnswer: 75*b**3 + 5*b - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 1 - 10 - (-155 - -156)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 3. Suppose -f*p - 7 + 4 = 0. Is p greater than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ehe when three letters picked without replacement from ssshhhehshhshe.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 53 = 12. Let t = 46 - b. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**1\/l**6)\/(l**(2\/5))**(-3\/20) assuming l is positive.\nAnswer: l**(-247\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-2)*22\/(-11). Let u be 1335\/45 + 4\/n. Solve -2 = i, -6*c = -c - 2*i - u for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 73 and -4696980?\nAnswer: -342879540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 12*r - 17*r + 335, -4*u + 134 = 2*r. Solve -r = 34*l + 137 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w**2 + 2*w - 6 - 8*w + 12*w. Let f be 9\/(-45) + (-31)\/(-5). Let a(g) = -g + 1. Let n(l) = f*a(l) + u(l). Let t(x) = 4*x. Determine n(t(h)).\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*k**2 + 30*k**2 + 80*k**2 + 8*k**2 in the form g*k + b + r*k**2 and give r.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1264?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -4*z - z. Let y(c) be the first derivative of -c**2\/2 - 9*c - 196. Let l be y(z). Let f(p) = -p**2 - 3*p + 3. What is f(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of i**6\/360 - 7*i**5\/120 - 7*i**3\/3 + 3. Let v(o) be the third derivative of w(o). Find the second derivative of v(c) wrt c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 0*l + 2*l**2)*(-3*l + 3 - 3) - 4*l**2 + 2*l**3 + 4*l**2 + (-4*l + l**3 + 4*l)*(1 - 1 - 1) + 0*l**3 + 4*l**3 - 2*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 - 1993425*y**2 - 7973760*y - 7973780.\nAnswer: 5*(y - 398689)*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -277*g + 576*g - 283*g - 176 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g\/g**(1\/10)*g)\/g*g)**(2\/47)*g*g\/(g\/g**(-3\/4))*g\/(g\/(g\/(g**7\/g))) assuming g is positive.\nAnswer: g**(-4349\/940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - s**2 - s - 1. Let i(q) = -3*q**3 - 4*q**2 - 3*q - 2. Let h(f) = -i(f) + 3*v(f). Let p be 1*1\/3*3. What is h(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7355482 to the nearest integer?\nAnswer: 2712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3078830 is divided by 1026245?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggx when three letters picked without replacement from gggggxgxxgxxx?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*o = -63, 5*t + 5*o - 2 = 43. Let h be 119\/3 - (-2)\/(-3). Let b = -17 + h. Calculate the greatest common divisor of b and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 343*c + 2772 = 541*c for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(2\/5)*z)**(34\/3)\/(z**(-3\/4)\/(z*(z\/((z**(-3\/4)*z)\/z))\/z)) assuming z is positive.\nAnswer: z**(297\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -652 not equal to -651?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 89128509707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36.176 - 31.4. Let b = -0.134 + 0.21. Let x = b - j. What is x rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z + 8\/3 - 2\/3*z**2.\nAnswer: -2*(z - 1)*(z + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 6:32 PM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1299 is divided by 68.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x**2 + 2*x**2 - 590*x + 697*x in the form t*x + r + q*x**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-192)\/528*2013*(-8)\/96?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -260*h = -23*h - 39*h + 155*h + 9178 for h.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 2) + (-35 - (-17 - 12))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70922 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28350, 37903, 53826, 76119, 104782, 139815, 181218?\nAnswer: 228991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1692)\/324 + 3)\/((-1)\/(-9))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-4*(sqrt(68) + 1*sqrt(68) + sqrt(68)))\/(sqrt(324)*1 + sqrt(324)))**2.\nAnswer: 16*sqrt(17)\/3 + 212\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-321)\/(-30) + (-20)\/(-400).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23678 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36124 is divided by 26.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**2 + 4*w**2 + 2*w**2)*(32 - 14 + 23).\nAnswer: 82*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 6250.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1531.091 - 6969.9441. Let j = k - -8495.03509984. Let x = j - -6. Round x to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 223*r + 3*r - 7232 for r.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66 and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (564\/(-22))\/3 + (7 - -1).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (29\/3 + (-8)\/(-24))\/(-12 + 21). Does v = -4\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2.1 (b) 2 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41376814.\nAnswer: 2, 769, 26903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13554521 + 4?\nAnswer: 13554525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -256 (b) 1\/23 (c) -5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - k - 1. Let g(z) = -2*z - 2. Let w(o) = c(o) - g(o). Let u(f) = 9*f**2 + 7. Let a(r) = u(r) - 5*w(r). What is the units digit of a(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b**2. Let r be j(-1). Let t = -1 - r. Suppose -5*v - 130 + 165 = 0. Solve t*h = v*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*h**3 + h**2 + 56816*h + 171406?\nAnswer: -12*h**2 + 2*h + 56816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(((i*i*i\/i**(-1\/2))\/i)\/i)*i*i*i\/i**(-7))**(18\/11)\/((i**(-4\/3)\/i*i**(-1\/3)*i)\/(((i\/(i\/(i\/(i\/(i\/i**4)))))\/i*i)\/i**2)) assuming i is positive.\nAnswer: i**(457\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**3 + 158*j**2 + 172*j - 960 = 0 for j.\nAnswer: -3, 2, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59*r + 3*r + 3*r)*(1 + 2 + 0)*(-2 + 2 - 8*r).\nAnswer: -1560*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -33, -79, -143, -225?\nAnswer: -325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 + 9*s - 19. Let o be w(5). Suppose 3*h - 4*a - 4 = 0, -h - h = a + o. Solve h + 3 = -3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -17, 17, -3, 33 in ascending order.\nAnswer: -17, -4, -3, -2, 17, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2270053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 283\/33 (b) -3\/736 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*d**3 + 12 + 46*d**3 + 2*d**2 - 11 + d**4 + 7*d**3 to the form j + t*d**3 + y*d**4 + z*d**2 + r*d and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30 - -36. Let j(c) = 50*c - 300. Let y be j(x). Put 6, y, 19 in ascending order.\nAnswer: y, 6, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 7:29 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 3 + -7 + 8 + 4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14218 is divided by 59?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by -662?\nAnswer: 10\/331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s + 50. Let j(z) = 8*z - 99. Let y(r) = 2*j(r) + 5*l(r). Let k be y(12). Find the second derivative of 466*d**3 + 6*d**k - 28*d - 466*d**3 wrt d.\nAnswer: 72*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 21*f**2 - 6*f + 11. Let x be n(2). Let g = x - -72. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2064800 rounded to the nearest 100000?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.934*-2.\nAnswer: -3.868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 1:52 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2655.\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffffffffffffffpff. What is prob of picking 1 p and 3 f?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v - 33 = -12*v - 2*w, -3*v - 5*w + 102 = 0. Suppose -429 = 36*r - v*r. Is 13 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 18025, 17536, 16723, 15586?\n\"Answer: -162*q**2 - 3*q + 18190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven quarters of a decade?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 560 and 24858260?\nAnswer: 99433040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51024.92 millilitres to litres.\nAnswer: 51.02492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7751 - 296397 = -4970*x - 35768 for x.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 160825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and -11.7.\nAnswer: -13.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 2)*-1*1. Let j(u) = u**2 - 1. Let l be j(-2). Solve 0*g + l*g = y for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 15 = 0, -5*v + 14*q = 12*q - 86 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 5655.7 to the nearest one hundred.\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 19*k**2\/2 - 10*k - 3. Is 11 a factor of t(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 20. Let r = 5 + -19. Let l be ((r + 14)*2\/4)\/(-1). Solve -4*s + q*s + 10 = l, s = 4*k + 17 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**6\/60 - 13*o**5\/10 - o**4\/12 - 6871*o**3\/6 + 2*o**2 + o + 8. What is the derivative of r(i) wrt i?\nAnswer: 6*i**2 - 156*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11939552 divided by 172?\nAnswer: -69416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 112 and 4368.\nAnswer: 4368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 2 = -2*y, 0 = 1571*y - 1575*y - 4*v - 20 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -7*q**3 - 50*q**2 - 79*q + 25. Give n(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**3 + 2*w**2 - 44*w**4 + 5*w**3 + 22*w**4 - 1 + 28*w**4 - w in the form s*w**4 + o*w**3 + q*w**2 + g*w + j and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -3. Let q(c) = 23*c + 323. Let w be q(-12). Let t be w\/12 + -2 - 50\/200. Sort t, -4, -5, p in decreasing order.\nAnswer: p, t, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 508 or 3564\/7?\nAnswer: 508","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 438*v**2 + 1871*v**2 - 352*v**2.\nAnswer: 1957*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**3 - 6*u + 0*u**3 + 55 - 96 + 0*u**3 + 48.\nAnswer: -2*u**3 - 6*u + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.67 take away 0.4?\nAnswer: -3.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -7*p**6\/30 - p**4\/12 - 11*p. What is the third derivative of l(g) wrt g?\nAnswer: -168*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -71*w**2 - 5*w + 32 + 54*w**2 + w + 2*w.\nAnswer: -17*w**2 - 2*w + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by 206.\nAnswer: -11\/206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 84\/205 - -11134\/1845. Calculate the common denominator of 131\/524 - (1 + 49\/175) and i.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108 - 220 + 2454*a**3 + 112.\nAnswer: 2454*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l = 5*l + 3*v + 13, -5*v = l + 19 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 65? (a) 3 (b) -0.01 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cuh when three letters picked without replacement from {h: 4, w: 1, c: 1, a: 2, u: 9}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3384 - -3313 - (-5 + -1 - (7 - 7 - 2))?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33221 - 11131112?\nAnswer: -11230333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**4\/3 + 4*i**3\/3 + i**2\/3 - 4*i\/3 = 0.\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + 0 + (-2)\/(-1). Factor -8*y + 4*y**4 - 2*y**5 + 20*y**2 + h - 2*y - 20*y**3 + 6*y**4.\nAnswer: -2*(y - 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.03 - 9. Let f = 0.005 - -0.05. Let v = u - f. What is v rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2786, -2782, -2778, -2774, -2770?\nAnswer: -2766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 6. Suppose -v - 47 = f. Let r = v - -160\/3. Sort r, -0.3, 2\/11 in increasing order.\nAnswer: -0.3, 2\/11, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25782 - -25782.07. Which is the closest to d? (a) 5 (b) 4 (c) -12\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4639, -9286, -13939, -18604, -23287?\n\"Answer: -f**3 + 3*f**2 - 4649*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1230302 divided by -2\nAnswer: -615151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42093 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2006?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 0, -0.2, -1, 2\/1683, -2?\nAnswer: 2\/1683","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.348 and 6?\nAnswer: 14.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50776.\nAnswer: 2, 11, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/(-30))\/(6\/72). Suppose 0 = t*j + 385 - 503. What is the second biggest value in j, -4, -2\/3, -3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -379 - 4*g - 190 + 160 to the form j + v*g and give j.\nAnswer: -409","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2313908*v + 2166789 wrt v?\nAnswer: 2313908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - 3 - (62 + -56). Let z be (8*(-8)\/(-40))\/(d\/(-20)). Find l, given that 143\/3*l**2 + 0 + 25\/3*l**3 + 1\/3*l**z - 169\/3*l = 0.\nAnswer: -13, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + (-90)\/28)*8\/(-6). Let h = -3059.5 - -3060. What is the closest to f in h, -0.1, 3\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 412 a factor of 4297572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 375497*m = -375494*m - 26, 4*c - 22 = -m for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -5119 equal to -5118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1 + sqrt(343) - (sqrt(7) + -5 + sqrt(7)*2))*3.\nAnswer: 18 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 3*k + 10455 + 3046, 0 = -5*k + p - 22509. Let b = k - -6303. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 37 - 46. Is (5 + -2790 + -2)*3\/b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 6 = 3*g, -7*g - 5*p = -2*g. Suppose x - 4*x + n = -7, g*x + n - 5 = 0. Solve -4*t = -2 - x for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/(-285)*3)\/(138\/2622).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 3825?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7473 and 5533677?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -301*d + d**2 + 2 + 2 + 303*d. What is the tens digit of l(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -427741\/312840 + 70\/7821. Let t = -16993\/70 + 1756\/7. What is the common denominator of t and y?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -9. Which is smaller: -5\/8 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 1. Let o(z) = 2*z + 3. Let j(b) = 6*k(b) - 2*o(b). Let c(i) = 55*i**2. Let g(q) = -5*q**2. Let a(y) = -4*c(y) - 45*g(y). Give j(a(h)).\nAnswer: -20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.12 + -1.12. Is -0.13 less than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -4*a + 11. Let c be g(2). Let r be 1872\/52*(126\/4)\/c. Calculate the greatest common factor of r and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -8. Let p = r - -1.6. Let z = p - 20.3. Round z to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.1, -2 in descending order.\nAnswer: 4, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f**2 + 918*f + 183 = 0. What is f?\nAnswer: -61, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -s**5\/60 - s**4\/24 + 2*s**3\/3 + 2*s**2. Let r be m(0). Differentiate -3*c**r - 4 - 2*c**4 - 3 + 6 wrt c.\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 1. Let h = 0.32 + -3.32. Let x = 2.6 + h. Which is the second smallest value? (a) p (b) x (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 + 4*i**2 + 9*i + 3. Let t be 288\/135 - 4\/30. Let j(l) = -5*l**3 - 16*l**2 - 38*l - 12. Let a(q) = t*j(q) + 9*m(q). Determine a(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -8*b**2 + 7*b - 7. Let p(f) = 7*f**2 - 6*f + 6. Let q = 27 - 6. Suppose -4*k = -7*k - q. Let h(o) = k*p(o) - 6*w(o). Factor h(i).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of g**8\/840 + 7*g**5\/120 + 20*g**3\/3 - 16. Let m(k) be the third derivative of w(k). Find the second derivative of m(p) wrt p.\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*x - 177. Let n = 1179121\/170890 - -2\/17089. What is the common denominator of n and 1*(x\/(-12) + 3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(2\/9))\/u)\/u*u*(u*u\/(u*u**(-1\/7)))\/u)\/u**(9\/5)*(u**(2\/21)\/(u*u*u**(-1\/2)))**(2\/93) assuming u is positive.\nAnswer: u**(-4769\/3255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-four fifths of a milligram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14\/155077353 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z - 21. Let t(y) = 395*y**3 - 2*y**2 - 6*y - 2. Let l be t(-1). Let p = -378 - l. Give s(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 1 = o, u + 4*o = -2*u + 2. Let c(l) = -7756 + 7752 - 3*l**3 + 17*l**3 + 5*l + 0*l. What is the hundreds digit of c(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o - 12. Let q be v(-5). Suppose -q*y = -m - 60 + 3, -4*m = -2*y + 248. Let h = m - -129. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kl when two letters picked without replacement from {r: 2, i: 4, l: 1, h: 7, k: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, l: 1, e: 2, s: 5, r: 5, g: 1}. What is prob of sequence le?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + -22. Suppose g - r*g + 2617 = 5*z, -z + g = -518. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77322 and 6.\nAnswer: 77322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m**3*v**2 + 86*m**3*v - 2*m**2*v - m*v + 11*v**2 wrt m?\nAnswer: 6*m*v**2 + 516*m*v - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53305046 (base 7) to base 8.\nAnswer: 21201520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-10)\/45 + 373\/180 and 41\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/60842112 and 47\/1088.\nAnswer: 1034315904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 30577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - 110\/(-30) - (-45)\/(-27). Let n(c) be the third derivative of -1\/120*c**6 + 0 - 1\/6*c**3 + s*c - 1\/12*c**4 - 12*c**2 - 1\/60*c**5. Give n(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 7) to base 11\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101212111 + -12?\nAnswer: 101212022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -17*q - 128. What is m(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 + 2*y + 6. Let b = 16 + -22. Let i be l(b). Calculate the greatest common divisor of 6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -130, 0, 0.06, 33 in decreasing order.\nAnswer: 33, 0.06, 0, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/8? (a) -96 (b) -0.1 (c) 3331\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-1)*(186\/(-38) - -5)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -492398568*s**2 + 153082184 wrt s.\nAnswer: -984797136*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 r, and 1 s when three letters picked without replacement from {j: 1, n: 1, s: 2, r: 2, m: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15305.\nAnswer: 5, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 990 and 0.06.\nAnswer: 59.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r**2 + 3*r + 2. Let t = 32 + -17. Let i be t\/(-7) + 1\/7. Let b be h(i). Which is smaller: b or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/450200 and -179\/270120?\nAnswer: 1350600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - -4047674?\nAnswer: 4047674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3120?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n*n**(-1\/27)))\/(n*n\/n**(-11))*n**(-21)*n\/(n\/(n\/n**(-4))) assuming n is positive.\nAnswer: n**(-809\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-18)\/(-10))\/(19\/282435)?\nAnswer: 3, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 127359 and 243?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 5*t + 3*a, -18*t + 22*t - 3*a - 9 = 0. What are the prime factors of 2\/t*2309 - 10\/15?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + (sqrt(171) - -4*(-4*sqrt(171) + sqrt(171))) + sqrt(171) + sqrt(171))\/sqrt(9) + 1.\nAnswer: -8*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/4 (b) 0 (c) 78948\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2336, 8319, 18178, 31919, 49548?\n\"Answer: j**3 + 1932*j**2 + 180*j + 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10774657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.94 + 2.95. What is the second smallest value in c, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 126.7 - 127. What is the closest to -2\/13 in w, 1\/3, -1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 (base 9) in base 2?\nAnswer: 110111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4242492 + 4242492 + 2004*d)*(2*d - 2 + 2).\nAnswer: 4008*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91913985?\nAnswer: 3, 5, 17, 137, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 38*q**2 - 629*q + 1799. What is b(50)?\nAnswer: 349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 188, 1478, 4876, 11402, 22076, 37918?\n\"Answer: 170*p**3 + 34*p**2 - 2*p - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 6*m**2 - 94*m - 334. Determine u(-3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = 3*u - 2*l - 82, -6 = 3*l. Suppose u*i = 21*i + 36. Suppose -3*b + 80 = b. Solve 5*k - i*v = b, -4*v = -3*k + 12 + 8 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + (-26)\/(-2) + (3872\/99)\/(-4). Factor 0 + 0*l + 2\/9*l**3 + 2\/9*l**2 - 2\/9*l**5 - s*l**4.\nAnswer: -2*l**2*(l - 1)*(l + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 4. Let o = -1\/2 + 1\/6. Which is the biggest value? (a) o (b) 0 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 20*h**2. Let t(k) = k. Let s(j) = -2*j. Suppose 5*d + 2*n = -36, 2*n = 2*d - 3*n + 26. Let g(z) = d*t(z) - 5*s(z). Determine g(y(r)).\nAnswer: 40*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1433785623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d - 16. Let p be v(14). Let u be (-3 - (3 - 6))\/p. Suppose 0 = 11*g - 15*g + 12. Solve u*i = g*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of (-36)\/3 - 95288\/(-43)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-4)*w**(-4\/3))\/(w**(-6)*w**(-1\/5)*w))\/(((w*w*w**(1\/10)*w*w)\/w)\/w*w**(2\/21)\/w*((w*w*w*w**(1\/4)*w*w*w)\/w*w)**(17\/2)) assuming w is positive.\nAnswer: w**(-15247\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z + 6090. Let m(j) = -2*j**2 - 16*j. Calculate m(k(s)).\nAnswer: -8*s**2 - 48752*s - 74273640","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 7818234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 times -156?\nAnswer: 7020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/(-75))\/((-1)\/(-2)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 651926 is divided by 126?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/(3\/((-3)\/(-2))). Suppose g + 4*g - 3*p = 9, 3*p = g - w. Suppose 5 = j - g*j. What are the prime factors of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 8*s**2 - 12*s + 20. Let f be a(8). Let m = 126 + f. Suppose -4*d + m = -2*k, -2*d - 4*k + 16 = -24. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -45198 - -45191.00032. Let n = a + 7. What is n rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - f - 2*i = 5, -f - 4*i = 25 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3 + 96*d**2 + 2*d - 96.\nAnswer: -2*(d - 48)*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q. Let r(l) = -325*l. What is r(d(t))?\nAnswer: 325*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w + 1. Let v(s) = -2*s + 3*s**3 - 4*s**3 - s - 8 - 5*s**2 + 3*s**2. Let m(a) = v(a) + 6*z(a). What is m(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44283, 6, 13.\nAnswer: -44283, 6, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 103.2 + -103. What is the second smallest value in q, -2, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2394928, -2394958, -2395004, -2395066, -2395144, -2395238?\n\"Answer: -8*h**2 - 6*h - 2394914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1828 - -10907\/6. Let b be 12*1\/4*-2. What is the common denominator of s and 740\/48 + 4\/b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/6*(0 + -3))\/((-38)\/((-19684)\/(-185))).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 8. Let f be x(0). Let j = 12 + f. Let i be (-98)\/(-8) + (-1)\/j. Calculate the greatest common factor of i and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -534377 + -18?\nAnswer: -534406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2975*z + 20767. Determine d(-7).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + -4)*(-15)\/(-9). Let q = 10 + o. Suppose -5*j - 5 = q, 2*j = -3*v + 3*j + 7. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 596750 and 294525.\nAnswer: 1925","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11874, 11873, 11872?\nAnswer: 11871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1170?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(432)\/sqrt(9)).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 146850 divided by 75.\nAnswer: 1958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 116899 and 22.775331.\nAnswer: 116921.775331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -54 + 109. Let k = -58 + a. What is the biggest value in -2\/15, k, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -774533 and -5.\nAnswer: 3872665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghhj. Give prob of sequence gh.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -343*y + 10424 - 14988 = -17*y for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = 107*v - 108*v. Suppose -7*z = 4*z - v. Solve 6 = -z*x + 4*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 6*n**2 - 3*n + 1. Suppose -y + 5 = -5*r + y, -4*r - 5*y = 37. Let m be z(r). Let d = m + -32. Calculate the greatest common divisor of d and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -496*f - 14. Let k be w(0). Sort 11, -10, k in ascending order.\nAnswer: k, -10, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9fb (base 16) in base 6?\nAnswer: -15455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -1 + u**2 - 3 + 2 - 8*u. Calculate the remainder when ((-190)\/4)\/5*-2 is divided by j(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 127115552 and 186432.\nAnswer: 762693312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 265855894\/3045 - 87309. Find the common denominator of 16\/3 and c.\nAnswer: 3045","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7043441 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a6 - 3?\nAnswer: -1a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 63\/4 = 121.936?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 28.89 and -98794.\nAnswer: -2854158.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -31*q - 7*q - 70, -q + 13 = -j for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, v: 1, s: 2, a: 1, h: 2, g: 6}. What is prob of sequence hp?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12 - 1065?\nAnswer: -1077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -3)\/(2\/393). Suppose -5*h + 1065 = -2*k + 6*k, 2*h = 5*k + u. What is the greatest common factor of 19 and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -11\/3. Let h be (-8)\/6*1\/4. What is the smallest value in 4\/9, h, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - p = 11, 44496*p - 44492*p - 32 = 3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5511526 to the power of 1\/2, to the nearest integer?\nAnswer: 2348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**2 - c + 47. Let o(y) be the first derivative of y**3\/3 - y - 31. Let w(x) = 3*o(x) + z(x). What are the prime factors of w(13)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -355880, -356153, -356608, -357245, -358064, -359065, -360248?\n\"Answer: -91*v**2 - 355789","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/3 - 6\/((-30)\/(-1115)). Let o = q + 225. Is o a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4161 is divided by 4141.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f - 11 - 4*f + 14.\nAnswer: -2*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -24.3 and 0.177668229656.\nAnswer: -24.122331770344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.796 + -3.806. Let q = 227 + -1139\/5. Which is the closest to 0.3? (a) 0.4 (b) 3 (c) h (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {i: 1, h: 2, v: 3, m: 2, c: 4}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2 (b) 0.566 (c) 5 (d) -3\/7 (e) -2\/473\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -237 + -832?\nAnswer: -1069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 860 and 3973630?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the third derivative of -29*z**7\/210 - 17*z**4\/2 + z**3\/6 + 431*z**2. Find the second derivative of j(u) wrt u.\nAnswer: -348*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of -g**7\/105 + g**6\/45 - g**5\/90 - g**2 - 1. Let o(t) be the second derivative of i(t). Factor o(d).\nAnswer: -2*d**2*(d - 1)*(3*d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2092*w - 12425. What is the hundreds digit of q(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -56217631*i**3 + 51992024*i**2 wrt i?\nAnswer: -337305786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125962 is divided by 2465?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 85 = 5*s, -444*s + 20 = -3*j + 8*j - 447*s for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, g: 4, o: 1, k: 1, f: 4}. Give prob of sequence fkgr.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -2*l - 14. Calculate the lowest common multiple of l and 22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 11:55 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 17*a**2 + 5*a + 9. Let q(y) = 16*y**2 + 4*y + 8. What is 6*q(k) - 5*v(k)?\nAnswer: 11*k**2 - k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 5 + 5 + 10*z + 0*z**2 + z**2. Suppose -49*o - 187 = 205. Give u(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/77)\/(3305\/9254) - 79\/(-308)?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 11*c**2 + 6*c - 6. Let r be k(-12). Let w = -30 + r. Is 12 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/1*(-18)\/(-36). Let s be (d + 0)\/((-68)\/10472). What is the greatest common divisor of s and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 96413, 4, -5, -1 in increasing order.\nAnswer: -5, -2, -1, 4, 96413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/12 and -7\/10546.\nAnswer: 63276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3*v - 4. Let b(q) = 6*q - 9. Determine 3*b(y) - 7*g(y).\nAnswer: -3*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7d (base 16) in base 12?\nAnswer: -a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -23366253 divided by 4\nAnswer: -23366253\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1146.20156 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-120) - (-13)\/(-104).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.15991054 to 0 dps.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 5*a - 4*a + 2)*(1 - 1 + a)*(1 - 11 + 2) as o*a**2 + l*a + j and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2099 - 2095. Solve z*r - 4*a + 3 = -1, 1 = a for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4450826731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1416096 and 540?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 12\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 + 33. Suppose -8*z + x*z = -102. Calculate the remainder when z is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 4. Is 11 a factor of 3\/(-3) + (-24)\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 28595636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/126 and 83\/444?\nAnswer: 9324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = -18*x - 189 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*v = 6. Let r(z) = z**2 - 4*z - 7. Let l be r(v). Suppose -l*w + 26 = -h + 4, 17 = -h + 4*w. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*u - u - 8789. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60 + 69. Suppose -s*d + 2*t + 6 = -6*d, 3*d - 6 = -5*t. Solve -4 + 6 = -d*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 20 and -1312.\nAnswer: -26240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -5*p**3 - 2*p**2 - 2*p - 6. Let o be q(-2). What is the highest common factor of 110 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -1.5963 (c) -8211\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -3*g**2 + 10*g + 2. Let i(b) = b - 9. Let h be i(4). Let n(j) = 4*j - 7. Give h*m(o) - 7*n(o).\nAnswer: 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 157595*l**3 + 1109*l - 127782951?\nAnswer: 472785*l**2 + 1109","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2320 a factor of 18018150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 77397363 a multiple of 2307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60*4\/(-660))\/12.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by 2318.\nAnswer: -25\/2318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28120 is divided by 104?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 730.01 - 734. Round z to one decimal place.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272)*-1 + 3)**2.\nAnswer: -24*sqrt(17) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 9:59 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -25, -7, 2, -0.0336, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 1:03 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*d = 4. Let w(t) = -5*t**2 - 2*t - 1. Determine w(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 g when two letters picked without replacement from {f: 5, g: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (51\/(-9) - 0)\/(2\/(-30)). Suppose -b = 10*d - 835. What is the remainder when d is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6))\/((-6)\/18)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 j when four letters picked without replacement from hjjhjjhj.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -17, 117, 437, 1021, 1947?\n\"Answer: 13*w**3 + 15*w**2 - 2*w - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 376 and 517.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.3 (b) -38 (c) -2 (d) 27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65, 67, 83, 119, 181?\nAnswer: 275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 19875 and 1500.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15050 is divided by 602.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (248\/(-70))\/(((-156)\/103935*-41)\/((-2)\/13))?\nAnswer: 62\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2196251 to the power of 1\/2, to the nearest integer?\nAnswer: 1482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*6\/(-48))\/(-1)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44*i**3*o*q**2 - 2*i**2*o*q**2 - 3*i*o*q**2 - 14*q**2 wrt i.\nAnswer: -264*i*o*q**2 - 4*o*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 4*3 + -2. Suppose 5*h + 32 = s + u, -h - 2 = 0. Let a(w) = -6*w - 6. Let c be a(-6). Calculate the greatest common divisor of s and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= 12\/24229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-15))\/(48\/36)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46)\/(-483)*12\/(-3)?\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 784447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34141435.\nAnswer: 5, 199, 34313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 41066495627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**3\/9 - 4740040*s**2\/9 - 5616999540437*s\/9 - 11233980120722\/9 = 0.\nAnswer: -2370019, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 + 3 - 3)*(-2*s + 2*s + 4*s**3) + (-2*s**2 - 2*s**2 + 3*s**2)*(5*s**3 - 5*s**3 - s**3) - 12*s**5 - 18*s**3 + 14*s**5 - 19*s**3.\nAnswer: 11*s**5 - 37*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 46915.08856 to the nearest one thousand.\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of 0*q + 3\/8*q**4 + q**3 + 1\/40*q**6 - 6*q**2 - 7\/60*q**5 + 0. Is d(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 36*h**2 - h + 62. Let u(c) = -14*c**2. What is a(u(b))?\nAnswer: 7056*b**4 + 14*b**2 + 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) -90\/73 (b) 0.49 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -960 - -2360. What are the prime factors of h?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(150)\/sqrt(3)).\nAnswer: sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/391 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 730 and 230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4 - 1)*(8 + -1). Suppose -2*m - m = -t. Suppose 2*x - 28 = -4*g, -m = -g + 3*x - 0*x. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of v**4\/8 + 2*v**2. Let b(l) = -3*l**2 + 4*l**2 + 2*l**2. Calculate f(b(y)).\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (-14)\/(-10) + -1. Let d = -8.19 + 9.19. Which is the closest to y? (a) -4 (b) d (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-160)\/12 + 2\/(-3). Sort p, 2\/11, -3 in increasing order.\nAnswer: p, -3, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -34*b**2 - 3*b - 2. Let o be i(-1). Let p = -17 - o. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2320 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vzhn when four letters picked without replacement from {n: 3, h: 1, i: 3, x: 1, v: 1, z: 2}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-9)\/(-144)) + -6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/23 in 6234, -0.3, 0, 1\/3, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 387580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31254 + -31256. Let v(r) be the third derivative of -27*r**6\/40 + 11*r**5\/20 + 11*r**3\/2 + r**2. Let u(c) = 5*c**3 - 2*c**2 - 2. Give i*v(f) - 33*u(f).\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -122\/797?\nAnswer: -122\/797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 94*r**4 - 88*r**2 + 630789*r wrt r?\nAnswer: 1128*r**2 - 176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -7*m**2 + 3*m - 3. Let z(l) = 120*l**2 - 50*l + 50. What is 100*x(n) + 6*z(n)?\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247864 = 70*f - 249404 for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-185)\/(-20) + 2\/8. Let q(n) = 2*n + 10. Let g be q(0). Let d = h - g. What is the smallest value in d, -1\/3, 0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1386\/252*(-2)\/(-77))\/(-1).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 110 - 25\/4*a**2 + 625\/4*a + 1\/12*a**3. Factor q(h).\nAnswer: (h - 25)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 + -9 + 6 + -5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 307 + 4\/(-8)*6. Let c = -159 + j. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x**3 - 506*x**2 + 1083*x + 40673. Give b(166).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -271.18 to the nearest 10.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t*t**(-4)))\/t**(-1)*t*t**(-3\/10)\/t*t*t*t**4)\/(t*t**4*t*t*t**(-4)*(t**(-1\/4))**27) assuming t is positive.\nAnswer: t**(309\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**4 + 9 - 7 + p - p**3 - 2 in the form m*p**3 + t*p**4 + s*p + j + u*p**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 2*x + x + (3*x - x - 3*x)*(2 + 2 - 5))*(-3 + 3 - 2*x + (2*x - 3*x + 0*x)*(1 + 2 - 1) - 2*x - 2*x + 6*x + 149 - 19*x - 149).\nAnswer: 42*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6917, 6919, 6933, 6965, 7021?\nAnswer: 7107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -207368077.99523 - -207366887. Let i = -2872 + 4063. Let l = k + i. What is l rounded to 4 dps?\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2720, 2577, 2414, 2231?\nAnswer: 2028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 2*o**7\/7 - 961*o**6\/6 + 28*o**3\/3 - 19*o**2\/2 - 2*o + 3360. Find the third derivative of j(b) wrt b.\nAnswer: 240*b**3 - 57660*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.4 + -5.6. Let k = 13.28 + -6.74. Let d = k + l. Round d to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 13 = -3. Calculate the greatest common factor of g and 20.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 91*b = 86*b + 62, -3*f - b = -67 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -213 - -217. Find the third derivative of 25*z**o + 72 + 27*z**2 - 72 wrt z.\nAnswer: 600*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128088372.\nAnswer: 2, 3, 10674031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + v = -v - 8, 4*v = 5*q - 19. Let z(x) = 2*x**3 - 3*x**2 - x + 3. What is the remainder when 80 is divided by z(q)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-6) - 1)*-9. Suppose 0 = -b*z + 1 + 8. Let c(a) = -9*a**2 - 28*a + 163. Let l be c(-6). Solve 2*s + l = -z for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 4. Let y(d) = -2*d + x*d**2 - 6*d**2 + 2*d. Let n(c) = 3*c. What is y(n(p))?\nAnswer: -18*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 915 is divided by 145?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -123 + 21603?\nAnswer: 21460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1056173*g**3 - 1056170*g**3 + 3*g - 3*g.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + 8 - -4) + 16 + -6?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2106\/42 + 9291\/(-163)?\nAnswer: -48\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 - 19*m**2.\nAnswer: -19*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -201 + 203. Let p(k) = -5 + 2 - 2 + u - 2*k. Determine p(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 73*i = -282, -1233*n - 4 = -1237*n + i for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*(-5)\/15 - 9202\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -85*v - 6457. Give w(-76).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 13, o: 6}. Give prob of picking 3 p.\nAnswer: 286\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -126 - -122. Which is greater: f or -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 3. Let x = 27 + -27.45. Let g = -0.15 - x. What is the biggest value in f, 0.1, g?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(4\/5))**(-2\/35) assuming n is positive.\nAnswer: n**(-8\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 12:26 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*d + 0*d**2 + 276\/7*d**3 - 6\/7*d**4.\nAnswer: -6*d**3*(d - 46)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/3? (a) -0.4 (b) 0.2 (c) 1 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -765 = -4*h + 395. What are the prime factors of h?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 5:18 AM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + c - 5*p = -25, 5 = 2*c + p for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 9*g**3 + 26*g**2 + 71*g - 91. Let w(l) = -4*l**3 - 12*l**2 - 35*l + 39. Give 6*u(d) + 14*w(d).\nAnswer: -2*d**3 - 12*d**2 - 64*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -66.1671 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + (-2)\/(-5) + (-12852)\/(-45). What is the highest common divisor of z and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4461?\nAnswer: 3, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/130)\/((-22)\/55)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p**3 - 258*p**2 + 798*p - 304. Determine k(-89).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42239 is divided by 42231?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -77, -73, -69, -65, -61?\n\"Answer: 4*w - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 6646?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f + 8. Let s be n(-6). Suppose 64 + 196 = -s*p. Let t = p + 81. What is t rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-45)\/(-18)*4\/5. Suppose u + 3 = -d*u. Let j(w) = 4*w + 2. Let o(v) = -v - 1. Calculate u*j(a) - 3*o(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 12 * 1002\nAnswer: 12024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6542596580 to the power of 1\/2, to the nearest integer?\nAnswer: 80886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15.138 and -1579?\nAnswer: -23902.902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.2 - 7.1867. What is y rounded to three decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163*x - 50*x = -175*x. Put 3, 1, x, 9, -5 in decreasing order.\nAnswer: 9, 3, 1, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.710562844 rounded to four decimal places?\nAnswer: 0.7106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11231401 + 2?\nAnswer: 11231403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -100, -192, -284, -376, -468?\nAnswer: -560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/7, -1\/6, 2, 3\/5, -155363, 0.4, 3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 256280669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeieeieeeeiieeei. Give prob of picking 2 i and 2 e.\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2114684?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -3, -22, 1.\nAnswer: -22, -3, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 100011101011111110?\nAnswer: -100011101011111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -5 - -8 - (-19 + 7 - -4).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16075499269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l - 9. Let v be ((-133)\/57)\/((-2)\/(-12)). Let m be z(v). Solve 4*f - m = -f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**4 + 144490*j**3 - 1059925445*j**2 + 232013950560*j - 12892068967680.\nAnswer: -5*(j - 14337)**2*(j - 112)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 12746576.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is -212011220001 (base 3) in base 6?\nAnswer: -13440214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/(-14))\/(15\/10*-1). Solve -q*g**2 + 0*g + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54217?\nAnswer: 54217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 3:19 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 10*p**2 + 11*p - 8. Suppose 53*b = -0*b - 583. What is t(b)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2. Let h be (5\/10)\/((-6)\/(-8)). Let w(c) be the first derivative of 2 + 0*c**2 - h*c**3 + 0*c. Determine q(w(x)).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -914 + 1924. What is the greatest common divisor of 40 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*h**4\/4 + 43*h**3\/4 - h**2 - 53*h + 60 = 0. What is h?\nAnswer: -20\/9, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 2*w = -14 + 84, w + 42 = 3*q. Let v(m) = -1 - m - 7*m - 2*m**2 - 3 + 3*m**2. Calculate the remainder when q is divided by v(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 534 - 505?\nAnswer: 2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 3, 32, 95, 204, 371, 608?\nAnswer: 927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86, -91, -94, -95?\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -209 - -276. Let m = 78 - b. What is the least common multiple of 142 and m?\nAnswer: 1562","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) - 2*sqrt(880))\/(sqrt(605)*1).\nAnswer: -7*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 16*p + 266. Give y(0).\nAnswer: 266","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -d43d?\nAnswer: d43a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/4*6\/(-1). Let s = x - 7. Let f be (4\/(-45))\/(s\/20). Which is the second smallest value? (a) f (b) -2\/5 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + h + 2. Let n be i(2). Let y(t) be the third derivative of 0*t + 5\/84*t**4 - 2\/105*t**5 - 7*t**2 - 1\/21*t**3 + n. Factor y(s).\nAnswer: -2*(s - 1)*(4*s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 5:48 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 3677 divide 1824018624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 107, -4, -1, -20, 1 in descending order.\nAnswer: 107, 1, -1, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 4*y**2 - y. Let o be k(-4). Let r be (-1)\/o - (-49)\/4. Calculate the highest common factor of 96 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.165545 + 3.134303. Let q = -0.014 - 4.286. Let k = q + f. What is k rounded to 5 decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**3 + 6*j - j**3 + 2*j**3.\nAnswer: -3*j**3 + 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (14\/21)\/(1 + 2 + -2). Let t(n) be the first derivative of 0*n + x*n**3 + 0*n**2 + 3. Determine f so that t(f) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 9*b**2 + 9*b - 2. Let f(z) = -8*z**2 - 8*z + 2. Suppose -5*y = 2*x + 3*x + 55, -15 = x + 2*y. Determine x*f(w) - 6*s(w).\nAnswer: 2*w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 9*y + 20. Determine c(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.328 - 0.328. Which is the biggest value? (a) 1.1 (b) 2\/17 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001 (base 2) to base 13.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) 0.5 (c) -2 (d) 7 (e) -3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1808 + -0.5?\nAnswer: -1808.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11222 + 4712 = 101*q - 4894 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yiffqfs. Give prob of sequence qfsi.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, m: 2, h: 1, e: 3}. Give prob of sequence demm.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 10) in base 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyw when three letters picked without replacement from ywqwwwywww.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that h**4\/2 - 70*h**3 + 2379*h**2 + 4970*h + 5041\/2 = 0.\nAnswer: -1, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kwkkkkkfkkk. Give prob of sequence wwkf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -q - p + 59, -p = 2. What is the highest common divisor of q and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 21*t**2 - 933*t + 19597. Determine d(21).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1472 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/(g\/((g**(2\/7)*g)\/g)))**(-14))**(3\/14))**(-2\/13) assuming g is positive.\nAnswer: g**(54\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 2)*(-957 + 14*o + 479 + 480).\nAnswer: 28*o + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 9 - 10 + 5*a**2 - 2*a + 2. Let m(r) = -6*r**2 + 3*r - 1. Determine -3*g(k) - 2*m(k).\nAnswer: -3*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-45)*3\/(-2). Let v = -0.24 + 2.24. Which is the closest to -0.2? (a) 5 (b) v (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1563245294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60*i - 170*i**2 + 105*i**2 + 82*i - 157*i**2 + i**3 - 65*i**2 wrt i.\nAnswer: 6*i - 574","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.4 + 1.4. Which is the closest to w? (a) 0.5 (b) -0.5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -z**5\/60 - 7*z**4\/24 - 5*z**3\/6 + 3*z**2. Let i be g(-6). Which is greater: 3\/8 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1573) + (sqrt(1573) + 1 - sqrt(1573)) - (sqrt(13) + ((sqrt(117)\/(-4*sqrt(9)))**2 - sqrt(13)) - sqrt(13)).\nAnswer: 3\/16 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 13) in base 11?\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.199509ml?\nAnswer: 0.005199509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0.26, -338801 in increasing order.\nAnswer: -338801, 0.26, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 5, -1, 12\/25 in ascending order.\nAnswer: -1, -2\/9, 12\/25, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 56953*-2.6\nAnswer: -148077.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + 3*m**2 - 4*m + 10. Let s be w(-5). Let p = s + 20. Let c be -9*(-3)\/9 + -923 + p. What is c rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -4255086\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -10*k - 42. Let m(n) = n + 4. What is -12*m(s) - t(s)?\nAnswer: -2*s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u + 5. Let v be i(0). Suppose v*z + 16950 = 2*z. Let j = z + 3050. Round j to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 at least -37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25 - 7121153?\nAnswer: -7121126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, -0.11, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.569629501 and -0.55527.\nAnswer: 0.014359501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.4 - -6. Let i = 0.079 + 0.921. What is the smallest value in -1\/3, q, 2\/11, i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -9 - 0 - -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (22 - 8) + -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)*-1*-4 + sqrt(143) + sqrt(143))\/(sqrt(55)\/sqrt(5)*-5).\nAnswer: -6*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.07, 14, -16, -0.4, -0.3, -1\/355, -2\/11?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -98443412*d**4 + 192688933*d wrt d.\nAnswer: -1181320944*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 30637*y**3 + 17*y**2 + y + 304312398?\nAnswer: 91911*y**2 + 34*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.699 + 0.669. What is the nearest to p in -38, -4\/3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.84 - 0.16. Let x(r) = -r**2 + 58*r + 841. Let s be x(-12). Which is the second biggest value? (a) 0 (b) u (c) -5 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (15 - 15) - 12?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/9 - 383363*y**2\/9 - 766733*y\/9 + 383365\/3.\nAnswer: (y - 383365)*(y - 1)*(y + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x + 3*x - 3*x + (-2 - 5 + 5)*(2*x + 3*x - 4*x) + 6*x - 2*x + 2 + 0*x.\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1014 is divided by 602?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -261*h. Let v(q) = -1208908*q. Determine v(f(k)).\nAnswer: 315524988*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 137 and 168373.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hkzqkacc. What is prob of sequence hq?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 1761 = -5*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4 + (0 + -5 + (sqrt(432) - -2*sqrt(432)) + sqrt(432) + sqrt(432) + sqrt(432) + sqrt(432) + sqrt(432))**2 + 1.\nAnswer: -960*sqrt(3) + 27671","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -ce50 (base 15) in base 12?\nAnswer: -21379","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-1 - (2 - -4) - (-48 - (25 + -57))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 20250 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 133874371 greater than 133874372?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 3\/40*x**5 + 3\/32*x**4 - 1\/16*x**6 - 1\/8*x**3 + 0*x**2 - 9 + 0*x. Determine p, given that s(p) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -0.279517.\nAnswer: 0.838551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-42)\/(-24) - 2\/(-8). Suppose -2*h + 170 = b*x, 2*x + 172 + 93 = 3*h. Is 27 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15322232 (base 6) to base 4.\nAnswer: -2003300030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 0.4 (c) -5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -65 - -69. Let g = 1628 - 1027. Is (q - g)*1\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((7461760\/2400)\/(-262))\/((-8)\/30).\nAnswer: 89\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 79364483?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 3*y - 47. What is the remainder when y is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.034 * -0.448\nAnswer: 0.015232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*x**2 - 13 + 13 as f*x + h*x**2 + y and give h.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -86 + 143. Let d = 1713.7 + -1770.651. Let c = d + m. Round c to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -11. Suppose 3*d + 4*o = 90, d = -b*o + 12 + 18. What is the units digit of -3*-6*d\/27?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47 - 49. What is the nearest to 0.1 in -4, a, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 22 = 3*t, 4*t + j + 9 = -18. Let z be 2 + 5\/(-1) - t. Suppose -3*p - z*o - 20 = 0, 2*p - 5*o = -0*p + 2. Are -5 and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = r - 9. Let h(c) = 4*c**2 + 12*c - 1. Calculate the remainder when h(-4) is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2 - u**2 - 1558289*u + 1558255*u to the form j + c*u**2 + v*u and give v.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**5 - 4*q**5 - q**2 + 3*q**5 + (q**2 + 3*q**2 - 5*q**2)*(9*q**3 - 5*q**3 + 5*q**3).\nAnswer: -11*q**5 - q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*2*6*5)**2 - sqrt(15)\/((sqrt(25) + sqrt(400))\/sqrt(5)).\nAnswer: -sqrt(3)\/5 + 10800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 16891.09m?\nAnswer: 1689109","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 18 - 87*g**2 - 16*g + 232*g**3 + 70*g**2 - 233*g**3. What is d(-16)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -50 - -216. Let y = -153 + v. What is the remainder when 101 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 37*p = -30. Is -26\/97 at least as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*d + 2*d + 14 = 214. What is the greatest common factor of d and 57?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 8:26 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146641, -1173953, -3962623, -9393331, -18346757, -31703581, -50344483, -75150143?\nAnswer: -107001241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i + 2. Let t be d(-6). Let y = t + -4. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -757586706*i**4 + 857512076?\nAnswer: -3030346824*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/81 and 19\/198.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sjaj when four letters picked without replacement from {u: 1, j: 6, s: 2, d: 3, a: 1}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 2*h**2 - h + 1. Let a be f(-2). Suppose -4*k + 7*k + 4*n - 633 = 0, -a*k = -2*n - 633. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 3*c - 6 = 0. Is c > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence koo when three letters picked without replacement from {k: 3, o: 6, v: 4}.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -36, -119, -256, -447?\n\"Answer: -27*q**2 - 2*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u + 15*u - 393 = 332 for u.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*p)*(0*p + p**2 + 0*p) - 2*p**2 + 2*p**3 + 2*p**2 - 113*p**3 - 168*p**2 + 169*p**2 + 312*p**3.\nAnswer: 203*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (146*h - 213*h + 122*h)*((-3 + 3 - 2*h)*(-4 + 1 + 1) + 3*h + 0*h - 2*h) to f + m*h**2 + v*h and give m.\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -153988 divided by -562\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000549597551 rounded to seven decimal places?\nAnswer: 0.0000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5033, -5025, -5017, -5009, -5001, -4993?\nAnswer: -4985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5*q**3 - q**2. Let a be p(1). Suppose -2*f + 7 = -a*g + 57, -41 = -4*g + 5*f. Calculate the greatest common factor of 70 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11937 and 34925586.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 32 + 2*m**2 - 5 + m + 0. List the prime factors of j(-8).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 2771*g - 2766*g = 140555, -g = 5*m - 140543. What is m rounded to the nearest one thousand?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -749*k**6 + 17*k**4 + 100*k**3 + 166003842*k**2?\nAnswer: -89880*k**3 + 408*k + 600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j**2\/4 + 38*j + 15 = 0. Calculate j.\nAnswer: -30, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 5, 42, 41\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 12 + -18 + 17 + (-23 - -11).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12514931*j**3 - 266*j**2 - 63672?\nAnswer: -75089586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**2 - 4*a. Let h be q(-1). Let i be -2 + -1*(-3)\/18 + h. Is -2\/29 smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -18 (b) 3 (c) 13 (d) 33 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2.6970429 minutes?\nAnswer: 0.044950715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.16? (a) -81 (b) 0.4 (c) 1\/5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 11:51 PM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3097687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12\/5*a + 18\/5 + 2\/5*a**2.\nAnswer: 2*(a - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*p + 279, 6*x = 2*p - 972 + 124. Is -1271\/9 > x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nihhnihhhhhn. Give prob of picking 1 i and 1 n.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 385951448.\nAnswer: 2, 263, 183437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 36 = -4*i, -2*i - 3*i = -20. Suppose -4*a + u = 0, -2*a + 27 = 4*n + n. What is the highest common divisor of n and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (204\/21)\/((-32)\/(-112)). Let h = 5 + 2. Let q(b) = 2*b + 3. Let n be q(h). What is the highest common divisor of s and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzl when three letters picked without replacement from {z: 4, l: 16}.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -513629, -7, 6, -5 in decreasing order.\nAnswer: 6, -5, -7, -513629","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 5 - 1. Solve -3*d = 6, 5*d + w + 2 = j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -12*n**3 + n**2 - 4*n + 4. Let z(u) = -25*u**3 + 2*u**2 - 9*u + 10. Give -5*t(v) + 2*z(v).\nAnswer: 10*v**3 - v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1903 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sspsppppppppsp. What is prob of sequence ps?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -429 + 1741\/4. Let w be 12\/(-11)*638\/(-116). Which is smaller: w or n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 232877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8822 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 2:32 PM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -106 + 99. Let c(m) = m**2 + 3*m - 7. Let f(j) = 3*j - 1. Calculate the remainder when c(u) is divided by f(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*(h + h + h)*(-1 + 1 + 1).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 845 by -845.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**6\/120 - 2*x**5\/15 - 3*x**4\/8 + 5*x**3\/6 + 4*x**2. Let i = 7 - -2. What is the least common multiple of 6 and y(i)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - q + 2 = 0, -4*k + 1 = -5*k + 4*q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*l + 4803 = 2314. Calculate the remainder when 264 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(33)\/sqrt(3)*3 + -5) - 6*(-3 + (sqrt(11) - 1*sqrt(1100))))**2.\nAnswer: -264*sqrt(11) + 47920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {m: 5, y: 5}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 80*a - 796. List the prime factors of h(-10).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.2, -34, 2\/2677 in increasing order.\nAnswer: -34, 2\/2677, 2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 15796778, 15796780, 15796782?\n\"Answer: 2*q + 15796776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.007057047 to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39528552*o**3*y**2 - 5*o**3 + o**2*y**2 - 43*o**2 + 2*o*y**2 + 693*o*y - 2*o - 83 wrt o?\nAnswer: 237171312*y**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: a4 (base 13) to base 3\nAnswer: 11222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -6*q - 9. Let p be r(10). Suppose 1111*l + 145 = 1082*l. Sort l, 2, p in increasing order.\nAnswer: p, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1050 (base 7) to base 11\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8400*z - 8397*z - 2499 = 0. Is 10 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 5*a**2 - 4*a + 8. Let r be 1\/(10\/536) + 38\/95. Suppose -4*z = -13*z - r. Determine c(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -b + 195, 0 = -b - 3*r + 2*r + 175. Let p be ((-2)\/(-3))\/(8\/b). What is the greatest common divisor of p and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 - 37. Calculate the remainder when (-1441)\/(-22) - (-3)\/o is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 439603?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3713026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 31 = b, 2*b + 5*o - o - 32 = 0. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o + 11. Let n be a(-7). Suppose -3*s - 5*v + 5 = 0, s - 5*s - n*v = -12. Solve 0 = -2*j - 5*d - s, -2*d = -2*j + 4 - 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 4*m - 0 + 4, -n - 14 = 5*m. Let x(t) = -2*t - 4. Give x(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 122, 2\/111, 3 in decreasing order.\nAnswer: 122, 3, 1, 2\/111","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 20 = -3*z - 2*x, 0 = -4*z + x + 18. Let s be 1\/(-3)*(-2 - 1). Put z, 0, s in increasing order.\nAnswer: 0, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 120\/27)\/2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 6:30 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -166 + 170. Let x = -1 - -5. Suppose m + 24404 = -x*q - m, -8 = f*m. What is q rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, s: 2, m: 1, l: 4}. Give prob of picking 3 l.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and -190002922331.\nAnswer: -190002922331.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 5. Suppose 4*c - 8 = -v*t - 0*t, 5*t = -c + 2. Suppose -y = -c*y + 3. Calculate the greatest common factor of y and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 11*p**2 + 15*p + 12. Suppose 16*r - 20 = 14*r. What is the units digit of m(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24c (base 13) to base 2\nAnswer: -110010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, j: 4, t: 3}. Give prob of sequence gg.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2173234, 4346475, 6519716?\n\"Answer: 2173241*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1548*k**2*q**5 - 3925*k**2 + 2*q**5 + q wrt q.\nAnswer: 30960*k**2*q**3 + 40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2077*g + 4*p = 2074*g - 10, -5*p - 16 = 5*g + p for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (140\/(-784))\/(10 + 240\/(-28)). Let u = -3.06 + 3. Let l = u + -2.94. Put l, n, -5 in increasing order.\nAnswer: -5, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -324 - 989 - 28*s + 27*s.\nAnswer: -s - 1313","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 62650*l + 158466 + 35105*l + 6332088*l**5 + 150*l**4 + 2730*l**3 - 6332085*l**5 + 23520*l**2.\nAnswer: 3*(l + 7)**4*(l + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3029?\nAnswer: 13, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 215 and 18146?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3814826?\nAnswer: 2, 23, 127, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1746, -3495, -5244, -6993?\n\"Answer: -1749*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, l: 4, t: 1, x: 1, r: 2}. Give prob of picking 1 q, 1 x, 1 l, and 1 r.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**2 - 5*x - 2. Let z(h) = h**3 + 10*h**2 - 12*h - 16. Let a be z(-11). Let o(r) = r**2 + 2*r + 1. Give a*o(u) - 2*f(u).\nAnswer: -u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3386.1 + -3249. Let d = -2.3963 - 134.6037. Let v = o + d. Which is greater: v or -51?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 6:33 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-432)\/495)\/((-8)\/(-40)) + (1 + 0 - -3).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105353 (base 8) in base 9?\nAnswer: 53704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2301\/14 or 165?\nAnswer: 165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 14*j = 0. Solve j*p + 4*h + 4 = 2*p, 0 = 2*p + 3*h - 4 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - l - 1. Let j(m) = -7*m**3 + 13*m**2 - 8*m - 5. What is j(r) - 5*u(r)?\nAnswer: -2*r**3 + 13*r**2 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -454 - 463604?\nAnswer: -464361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(162))\/(sqrt(6) - (sqrt(6) + sqrt(36)\/(sqrt(12)\/sqrt(2)))).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -6, -15*m + 5*i + 31 = -14*m + m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/2 (b) 1\/7 (c) 27.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.358 rounded to one dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/173, 5, 0.026, 4, -5, -0.1 in decreasing order.\nAnswer: 5, 4, 0.026, 1\/173, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 54, 49, 44, 39, 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 6:44 PM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.9 and -71709660.\nAnswer: -64538694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkkkk. What is prob of picking 4 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z\/(z*z\/(z**(-3\/7)*z)*z))*z**2*z*z**(-1\/8)\/((z**(-2)\/z)\/z) assuming z is positive.\nAnswer: z**(521\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 6*b**3 + 2*b - 89. Let u(f) = -5*f**3 - 2*f + 89. Let l(k) = -6*i(k) - 7*u(k). What is the derivative of l(w) wrt w?\nAnswer: -3*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33*(-86)\/63855)\/((-16)\/(-40)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 2 - 2 - h in the form c + l*h and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3 + -4*sqrt(22)\/(sqrt(2) + sqrt(18)))**2 + -5.\nAnswer: 16 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 47 and 146?\nAnswer: 6862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/7 and 85154\/17813 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvddvv. Give prob of picking 3 v.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-635)\/(-4953)*(-6)\/(-5).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1085\/217*((-4)\/4)\/((-1)\/(-1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3179 take away 0.347624?\nAnswer: -3179.347624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5*32381595\nAnswer: 161907975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-22)\/i**(4\/7)*(i*i\/i**8*i)**(3\/40) assuming i is positive.\nAnswer: i**(-1285\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1188485246?\nAnswer: 2, 13, 6163, 7417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/9*(-7)\/(252\/6)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + 0. Let b(r) = r**3 - 5*r**2 + 2. Let y be b(t). Solve 2*p + 2 + 2 = -y*d, 5*d + 2*p + 4 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2608870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 7*y. Let i be (-32)\/(-6) + 3\/(-9). Let u be l(i). Let k be (2 + 8)\/(1 + 1). Solve 0 = -k*h - u, -6 = -0*z + z + h for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 9:37 PM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 3*n**2 + n + 4. Let j = -5 + 8. Let y be g(j). Let w be 1*-1 + y\/5. Which is the closest to 0? (a) -5 (b) w (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15700532851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 252 and 659196.\nAnswer: 4614372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -333132230 (base 4) to base 14.\nAnswer: -6aa84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45822 + 45800. Which is greater: -120 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 146*x = 143*x - 822, -w + 100 = 4*x. Solve 0 = 22*y - w*y - 560 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (5 - (-4 + 12 - -3))*-19 and 18?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2689327?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3*(sqrt(704) - sqrt(44)).\nAnswer: -2 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s\/s**(3\/5))**(1\/16)*(s*s**(-2\/5))**(-3\/17) assuming s is positive.\nAnswer: s**(3\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/49, 2, 140, -119, 2\/9 in increasing order.\nAnswer: -119, -2\/49, 2\/9, 2, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110753?\nAnswer: 110753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a**3 + 1351*a**2 - a**3 - 2*a**3 + 3*a**3 + 1751*a**2 in the form x*a + w + s*a**2 + g*a**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00032953 rounded to 5 decimal places?\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5234 in -0.5, -2, -3, -1\/4, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2212124 (base 5) in base 15?\nAnswer: b5ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9619.817ml to litres.\nAnswer: 9.619817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 9 = 5*g, -3*g + 0 = 2*x - 7. Let l(n) = 5*n + n - 3*n - 9*n**x + 2*n. Let f(a) = -8*a**2 + 4*a. Determine 5*f(b) - 4*l(b).\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2102412*v**4 - 2*v**3 - 1798129*v**2 wrt v?\nAnswer: 50457888*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -4, 8, -0.08?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 1 + 1 + 15*b**3 + (b**2 - b**2 + 2*b**2)*(-4*b + b + 5*b) - 2*b + 2*b - b**3 + (-2*b - 3*b + 3*b)*(-b**2 + 5*b**2 - 2*b**2).\nAnswer: 14*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 + 36 + (2 - 0) + 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**2 - 3*h**2 - 13*h**3 - 1035*h + 1036*h.\nAnswer: -13*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l - 89 + 89.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -4*l + 40, -4*a + 36 = 4*l - 8. Suppose w - 3*d - 2 = 0, 3*w - w - 4 = -d. Solve 3*b - 4*h = -w*h + l, -3*b = 3*h - 9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59675 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10432.91 kilograms to nanograms.\nAnswer: 10432910000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/8792 and -1\/3768.\nAnswer: 26376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1333854 a multiple of 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8.9 (b) -7 (c) 0.4 (d) 73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c = -c - 324. Let f = c + 27. Suppose -3*a = -18 + 3, 5*p + a - 380 = f. Is p a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 5 = -o + 5, 3*o + 2*x + 12 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -1676 (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5366 is divided by -38 + 70 + (0 - (-1*2 - -8))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25672333?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 9:28 PM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -8. Let o = -0.1 - -0.1. Which is the closest to o? (a) -3 (b) x (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 PM and 4:40 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 bigger than -30191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 60*l + 1189. Let y be z(-20). Is y bigger than -100\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i - 2*i + 0*i + 0*i. Let g(w) = 9*w. Give g(k(u)).\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 606 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -13*h + 6. Let u be v(-3). Suppose 6*q = q + u. Solve o + 2*p + 6 = 3*o, -2*p - q = -5*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -656*h - 15. Suppose -3 = 7*y - 17. Let l be y - ((-2)\/13 + 160\/26). Is o(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-65)\/(-8)*-2 + 98 + -265 + 177?\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -407 - 398 = -7*l. Suppose -3*p + l + 251 = 0. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2169.1 + -2271. Let y = a + 102. What is the third smallest value in 4, 0.03, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1202 or 1209?\nAnswer: 1209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 76, 113, 148, 181?\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+-4370\nAnswer: -4369.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -679*k - 810 = 467*k - 6540 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 0*a - 4*a + 7)*(-1 - 4*a + 1).\nAnswer: 8*a**2 - 28*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, i: 1, m: 5, z: 1, a: 3, h: 3}. What is prob of picking 1 t and 2 a?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 1511 divide 5919788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -2\/15, 3, 71?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2, -5, 4, 69 in decreasing order.\nAnswer: 69, 4, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 0*x + 5*x - 40, -4*j + x + 17 = 0. Suppose 2*r - 3 = r + 4*c, -15 = -j*r - 4*c. Let i(l) = r + 2 - 2*l - l + 2*l. Give i(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/251720 and -67\/580.\nAnswer: 251720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -h + 2*i, 5*h - 8*i + 7*i = 3. Let r be 12*(h\/4 + 9\/6). What is the highest common factor of r and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.396227 litres?\nAnswer: 396.227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 1054961 = -7*f - 141900, 0 = -3*l + 4*f + 913039. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - s**2 - s - 1. Let h be o(0). Let x = h + 4. Let a(r) be the second derivative of -r**5\/20 + r**4\/6 + r**3\/2 - 3*r**2\/2 - r. Give a(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 195277 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 182, 183, 186, 191, 198, 207?\n\"Answer: n**2 - 2*n + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -322 - -8?\nAnswer: -315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4130 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 234170790 to the nearest integer?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -179441711 and -179441712 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113323332312 (base 4) to base 13.\nAnswer: 13b9222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52188 is divided by 8488?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a15 (base 15) in base 14?\nAnswer: -3404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 8305700 to the nearest one hundred thousand.\nAnswer: 8300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 5*i + 91, y + 17*i = -95 + 25 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b**2 - 2*b + 44 + 77 + 3*b**2 + 20*b - 97 = 0. Calculate b.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(-1)\/(-28)*(-4)\/(-3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -u + 25, -5*u + 5*f - 4*f = -163. Let y = 28 + 1. Suppose -u*g = -y*g - 8. What is the remainder when 2 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -3*c**3 + 5*c**2 - 10*c + 20. Determine i(3).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3, 22, 55, 102, 163?\n\"Answer: 7*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1488819, -2977627, -4466429, -5955225, -7444015, -8932799, -10421577?\nAnswer: -11910349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 103872 or 103870?\nAnswer: 103872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 107884.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 59, -3\/8, -5\/2?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13 - -10?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**1\/s)*s*s**(-6\/5))**24 assuming s is positive.\nAnswer: s**(96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 82*n**5\/3 + 438*n**4 + 1180*n**3\/3 - 428*n**2 - 1262*n\/3 - 10 = 0. Calculate n.\nAnswer: -15, -1, -1\/41, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -v - 25*o + 24*o, -o = 2*v + 28. Let z(a) = -6*a + 211. Let j be z(v). Round j to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 448, -1, 337 in ascending order.\nAnswer: -1, 337, 448","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*-29*3\/(-6). Let x = -36 + s. Calculate the least common multiple of 12 and x.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66196472.\nAnswer: 2, 8274559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 18 = 5*h - 40, h - 4*b - 14 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 20*h**2 - 71*h - 44. Let y be j(-23). Solve -9*l = -y*l - 14 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 10*q + o, -4*q - 31 - 17 = -4*o for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -14b (base 15) to base 5\nAnswer: -2141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 85904619 to the power of 1\/4, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 66200 to the nearest 1000.\nAnswer: 66000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*d + 2*d - d**2)*(-d**2 + 2*d**2 + 0*d**2) - 2*d**4 + 5*d**4 - d**4 + 5*d**4 - 3*d**4 - 4*d**4 - 4*d**4 - d**4 + 2*d**4)*(2*d + 0 + 0).\nAnswer: -8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/1 + (-435)\/(-39) + -5.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6233 + -6232.5. Sort -5, a, -3 in descending order.\nAnswer: a, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.05 - -3.05. Let r = -9 + j. Let n = -5.5 - r. Put -0.4, n, 5 in descending order.\nAnswer: 5, n, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.9 * -12\nAnswer: -22.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1596341 is divided by 319267.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhuhuuuuuuuuu. What is prob of picking 1 u and 2 h?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, t: 7, z: 4, w: 1, d: 1, g: 4}. Give prob of picking 1 c, 1 w, and 1 t.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -1495257?\nAnswer: -2\/1495257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + -10*(-2)\/6. Do u and -0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 62 - 62. Suppose 4*x - 20 = z, 15 = -4*u - 4*x + 3. Let s be ((-10 - u)*-1)\/((-4)\/(-6)). Solve 0 = -3*c + s*n - 3, 2*c - 10 = 3*c - 4*n for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5437.\nAnswer: 5437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1526068 is divided by 546?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -7488*l - 2744. Let x(p) = 832*p + 305. Let w(v) = 3*u(v) + 28*x(v). Let y be w(6). What is y rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/225 and -28\/31527.\nAnswer: 788175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*h + 43*h - 15 = 0. Suppose u + 17 = n + h*u, 0 = -2*n - 3*u + 39. Suppose -8*s - n = -75. Solve 3*k = s*k + 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of 41*w**4\/24 + 5*w**2. Let y(o) = -2*o**2 - 9*o + 18. Let s(i) = i**2 + 4*i - 8. Let m(x) = 9*s(x) + 4*y(x). What is m(l(t))?\nAnswer: 1681*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 126619?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42854 and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3867893931?\nAnswer: 3, 11, 117208907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = l + 8, -7*n + 3*n - 20 = -2*l. Suppose -l = -c + 18. Suppose 3*u + 5 - c = 4*o, 4*u - 2*o = 26. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**2 + 3*s + 8. Suppose 30*i + 22 = 27*i - 2*b, 3*i - 2*b = -2. Let m(j) = 3*j**2 - 4*j - 9. Calculate i*y(a) - 3*m(a).\nAnswer: -a**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnenefxxpntettxp. Give prob of sequence txe.\nAnswer: 9\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3483 + -4.31.\nAnswer: -3487.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 516 and 1821308?\nAnswer: 5463924","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 11141 - 11139. Suppose 3*t - i = 4, -5*i - 6 = t + 14. Solve 4*q - k*y - y + 15 = t, -2*y = 5*q - 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhew when four letters picked without replacement from nhxhnexhhnhhhhwn?\nAnswer: 1\/780","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -0.016 (c) 1\/6 (d) 2\/6179\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**5\/30 - u**3\/3 + 2*u**2. Suppose -10*z = 9 + 11. Determine v(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -129 - -222. Calculate the greatest common factor of 31 and m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {c: 1, n: 3, f: 2, v: 4, w: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23298\/5 - 4477. Let y = -182 + d. What is the second biggest value in 4, y, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(171) - (sqrt(171) + -2*sqrt(171))) + sqrt(171))\/sqrt(9) - (sqrt(475) + 2*sqrt(475))*-5) + -5 + 4.\nAnswer: -1 + 84*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 553, 3011 in decreasing order.\nAnswer: 3011, 553, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 14 = -k, -5*i = -2*k + 56 - 19 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3 - 3)\/(-4) + (-2 - -66). Find the third derivative of -86*m + 10 - 10 + j*m - 118*m**6 - 3*m**2 wrt m.\nAnswer: -14160*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (359500\/375)\/((-20)\/(-6) + -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 290 + -285.02. What is b rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-119880)\/(-2664) - (-346)\/(-8).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**3 - 2*z**3 + 0*z**3 + (3*z - 2*z + 7*z)*(-18 - 114*z + 56*z + 59*z)*(-2*z - 2*z + 9*z).\nAnswer: 38*z**3 - 720*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -411058042241799461.00000022 - -411058038155719170. Let t = 4086080327 + c. Let d = t - 36. Round d to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of 0*h - h**2 + 2\/105*h**7 + 0 + 7\/24*h**4 + 0*h**3 + 0*h**6 + 0*h**5. Find the second derivative of p(c) wrt c.\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 13, a: 3}. Give prob of picking 3 p and 1 a.\nAnswer: 33\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**2 - 145*m + 274. Calculate o(-75).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6310073 and 161?\nAnswer: 6310073","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*q - 12 = 11*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 3*x**3 - 9*x**2 - 3*x - 8. Let d(k) = 7*k**3 - 19*k**2 - 6*k - 17. Let j(f) = 6*d(f) - 13*o(f). Let s be j(-3). Is -61 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v + 10. Let x be t(-8). Let k(d) = -6*d + 47. Let s be k(7). Let f be (s\/2 + 12\/(-8))*37. Solve 5*l - 2*p + 2 = f, -3*l + 25 = -x*p for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -118.3 - -118. Which is the third smallest value? (a) y (b) 3\/8 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 92736 divided by 828\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 4*q - 4 + 0 = 0, -4*h + 3*q + 3 = 0. Let k(c) = 4 - 1 + h + c + 3. What is k(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/7149 or 1?\nAnswer: -10\/7149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 5*k - 4, 5*q - 14 = 3*k + 4. What is the first derivative of 8 - 8*a**q + 108*a**2 - 108*a**2 wrt a?\nAnswer: -24*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - d**2 - 2*d - 3. Let l be j(-2). Suppose -h = l, -2*b + 13 + 45 = -4*h. Solve -5*k = -q - q - b, -8 = -k - q for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 6978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13676839?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.3, -0.1, -1, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 48, 2 in descending order.\nAnswer: 48, 7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 5.\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 758 - 241 - 255 - 261 + 92*t.\nAnswer: 92*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of 0 - 3\/4*q**3 - 1\/80*q**6 + 1\/1680*q**7 + 7\/96*q**5 + 0*q + 1\/16*q**4 + 33*q**2. Suppose c(r) = 0. What is r?\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*j + 24. Let v be 1106 + 6*4\/j. Let z(q) = 2 - v*q + 6 + 1112*q. What is z(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 497 divide 89194105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4033, 4032, 4031, 4030, 4029, 4028?\nAnswer: 4027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m = 6*m + 20. Calculate the highest common divisor of m and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -252 plus 8.4774?\nAnswer: -243.5226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 129? (a) 3 (b) -5 (c) -1 (d) 56\/1297 (e) -1\/8 (f) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 216418*m**3*t**3 + 163*m**3*t - 14357*m*t**2 + 4*m - t**3 + 46*t**2 wrt m?\nAnswer: 1298508*m*t**3 + 978*m*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 879*t + 41202. Determine r(50).\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34162 or -34155?\nAnswer: -34162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 225*s + 1. Is q(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1+12\nAnswer: 11.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + (sqrt(833) - (sqrt(833) + -1 + sqrt(833) + -1)))**2.\nAnswer: -112*sqrt(17) + 897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttteettettee. What is prob of sequence eet?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*c**2*d*m + 167851*c**2*m*w + c*d + 35*d*m*w - 12*d*m + 1411*d*w + 2*d + 7*w with respect to c.\nAnswer: -24*c*d*m + 335702*c*m*w + d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -69*b. Let o be i(0). Solve o = 26*k - 14*k - 36 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and -30907939363.045.\nAnswer: -30907939363.245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1089, -2169, -3247, -4323, -5397?\nAnswer: -6469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/1)\/(-3*2\/(-33))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 - 7*y**2 - 15*y + 9. What is the smallest common multiple of 26 and p(-5)?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*m**3*r**3*v**2 - m**3*v**2 + 7*m**3*v - 5*m**2 + r**3*v wrt r.\nAnswer: -33*m**3*r**2*v**2 + 3*r**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -11*m**4\/6 - 7*m + 92. Let x(l) = 6*l**2 + 7. What is x(h(d))?\nAnswer: 2904*d**4 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 315*t**2 + 4. Let u(z) = -542116*z**2 - 6886. Give 3443*r(f) + 2*u(f).\nAnswer: 313*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 103 = -3*l, 2*y - l = -2*l + 83. Let w = -24 + y. Calculate the remainder when w is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 4:05 AM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*1\/(-3)*15\/(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 636\/30 - (46 - 55 - -30).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 3*m**2 + 2*m - 3. Let p be c(3). Let h be (p\/(-15))\/(2\/(-4)). Solve 1\/5*o**2 + 0 - h*o = 0 for o.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*b - 9*b + 2*b**2)*(2 - 1 + 1)*(2*b - 2*b + 3*b**3).\nAnswer: 12*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(-1 - (-1)\/2). Let b(p) = 509*p - 2. Let k be b(-1). Let l = k - -2547\/5. Which is greater: o or l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -316817 - -0.005.\nAnswer: -316816.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 5*u - 8745 - 285, -4*u - 1806 = -x. What is the lowest common multiple of x and 20?\nAnswer: 18060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 9072365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 39*u**2 - 120*u + 262. Determine f(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - v + 5 = 4*v, -4*x + 28 = 4*v for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20767 and 247?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14614692?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -5.06. Let y = t - -0.54. Which is the third smallest value? (a) 1 (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 368 = -4*g. List the prime factors of g.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 72, 170, 286, 408, 524?\nAnswer: 622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6d4 + -b64?\nAnswer: -470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w - 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42990072?\nAnswer: 2, 3, 179, 10007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -282, -1123, -2518, -4461, -6946, -9967?\n\"Answer: u**3 - 283*u**2 + u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4414, -8743, -13114, -17533, -22006, -26539, -31138?\n\"Answer: -s**3 - 15*s**2 - 4277*s - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*3*sqrt(33)*-4)\/(sqrt(48) - (sqrt(48) + sqrt(144)\/sqrt(3) + sqrt(48) + sqrt(48))*3).\nAnswer: -3*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53 - -56. Suppose -16 = -55*i + 259. What is the nearest to -3\/5 in i, -1, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**5 - m**5 + 4*m**5 + (-31*m**4 - 46*m**4 - 29*m**4)*(-5*m + 6*m + 0*m).\nAnswer: -105*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21547151389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 5*u - 1538 = 0, -4*v + 3*u - 4*u + 1546 = 0. What is the common denominator of -1 + 4 + v\/72 and 24\/5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f + 11. Let s be z(11). Suppose -4*y = -4*g + 56, 0 = -0*y + y - 4*g + 17. Let u = y + s. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(891) + sqrt(891))**2 - (-2 + sqrt(99))**2.\nAnswer: 12*sqrt(11) + 788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 72\/1404 - (-4675)\/102*2\/(-13)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 - 264.\nAnswer: -264.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1)\/(-1) - -1269)\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4559*l + 5938*l + 1534*l + 3181*l in the form n + o*l and give o.\nAnswer: 6094","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j**3 + 2*j**2 + j + 1. Let q be v(-2). Let g = 68 - q. List the prime factors of g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*s, -3*x - 21257*s + 21261*s + 4 = 0 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 10*z**3 + 28*z**2 - 58*z + 32. Let u(l) = 12*l**3 + 28*l**2 - 57*l + 32. Let k(q) = 5*n(q) - 4*u(q). Suppose k(w) = 0. Calculate w.\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.887 + -0.394. Let w = 0.4723 - l. Round w to three decimal places.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2432, -85, 5 in increasing order.\nAnswer: -2432, -85, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 33 = 3*a. Is (-2)\/4*1826\/a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00023178 to five decimal places.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65278*r + 7951*r + 24287*r.\nAnswer: 97516*r","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 9*n**3 - 4*n**2 + n - 2. Calculate the smallest common multiple of w(4) and 22.\nAnswer: 5654","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 44*z - 48*z - 172. Which is smaller: -40 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46320 is divided by 3552.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 6. Let y(g) be the first derivative of -2\/5*g**5 + 0*g**4 + 0*g + 1\/2*g**2 + 0*g**3 - t. What is the second derivative of y(v) wrt v?\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m + 506 - 497 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -33, -90, -181, -300, -441?\n\"Answer: n**3 - 23*n**2 + 5*n - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, z: 3, f: 4, a: 1, q: 2, l: 1}. Give prob of picking 1 f and 1 z.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.7 - -3.7. Let k = 7 + -6.98. Let l = -0.08 - k. Which is the closest to l? (a) x (b) -3\/5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 5. Let k be (6\/3 - r) + 11. Suppose 32 = h + 4*j, h + 5*j - 22 - k = 0. What is the remainder when h is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -24 - 15) + 69\/3*1. Suppose -3*s + 82 = -2. Calculate the greatest common divisor of f and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.7 + 1.3. Let u = f + -4.062. Round u to two dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 18*j = 158, 4*l + 22*j - 23*j + 131 = 0 for l.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (((-28)\/(-5))\/7)\/(28\/(-10))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 55 (b) -1 (c) 922\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -237*b**3 - b**2 - 2*b - 1. Let g be 3*(2 - 35\/15). What is the hundreds digit of i(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d - 2. Let i(x) = 2*x - 28. Let t(y) = 8*c(y) + i(y). Calculate the smallest common multiple of 66 and t(8).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 3 (c) 0.049\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 67257\/517 - ((-2)\/22)\/(-1). Does 12 divide m + -1 - (-12)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4880736557 to the power of 1\/4, to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -150 + 66 + 58\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of 1855*t**6\/24 - t**5\/12 + 281*t**4\/8 - 4012*t**2. What is the third derivative of c(a) wrt a?\nAnswer: 55650","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443289023 to the power of 1\/7, 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 2:30 PM and 11:47 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1437 + 1500. Calculate the greatest common factor of h and 2016.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832)*-3)**2 + sqrt(637) + 2.\nAnswer: 7*sqrt(13) + 7490","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12428422 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 4*r - 1. Let z(l) = 3*l - 2. Suppose -14897 + 15092 = 39*d. Determine d*z(q) - 4*b(q).\nAnswer: -q - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 + 125\/3. Suppose 2 = 3*n - 13. What is the second biggest value in n, 1\/4, m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.247899481 + 0.0305\nAnswer: 1.278399481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/650565 and -37\/72285.\nAnswer: 650565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 5*n**2 - 8*n**2 + 6*n**2 - 4*n. Let a(b) be the first derivative of -3*b**3 - 3 + 11\/2*b**2 + 0*b. Give -4*a(p) - 11*q(p).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1701 - -1801. Calculate the remainder when o is divided by 25.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7653660?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (3*sqrt(13)*1)**2*6)*-5.\nAnswer: -3510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + sqrt(72) + -2*sqrt(72) - sqrt(72) - 5*-1*sqrt(72))**2*1*-6 + 2.\nAnswer: -1296*sqrt(2) + 23366","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 8*l**2 + 271*l + 7. Let x(a) = 33*a**2 + 1087*a + 29. Let p(i) = -9*m(i) + 2*x(i). What is the remainder when 57 is divided by p(-44)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/1758 and -27\/28?\nAnswer: 24612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*k**2 + 11*k**2 - 22*k**2 + 1 - 2 in the form c*k + u*k**2 + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1412 - 3446 + 1757)*(-3 + 0 + 2) - 4 + 1 + 2)*(-4*t + 3*t - t)*(-2 - 2*t - 2*t + 2*t).\nAnswer: 1104*t**2 + 1104*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 66 = -3*q - 0*q, 5*a = -5*q + 290. Calculate the lowest common multiple of 48 and a.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m + 2. Let f(g) be the first derivative of -2*g**3\/3 - 30. Give f(v(x)).\nAnswer: -8*x**2 + 16*x - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -322*i**4*j - 112*i**4*u - i**3*j + i**3 - 4*i**2*j*u + 1057*i**2*j + i**2*u - i*j wrt i?\nAnswer: -7728*i*j - 2688*i*u - 6*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 8 = 3*o. What are the prime factors of (-324)\/(-16) + o\/(-8)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10210, 10457, 10704, 10951, 11198?\nAnswer: 11445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + u + 1. Let c be x(4). Let s be 0\/(-2*3\/6). Suppose 16 = -4*l, -3*z + s*z + 3*l + c = 0. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1144 divided by 26770.\nAnswer: 572\/13385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 314 = -2*x, 0 = -4*z + 2*x + 85 + 233. Is 18 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 783 is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3 and 372.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -305 + 409. Let l = m - 103.5. Let o = 0.43 + -0.03. Which is the biggest value? (a) o (b) -0.1 (c) 0.2 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53593*a = -107241*a + 53536*a + 7952 for a.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 17 = 10. Let i(u) = -4 + 1 + 4*u + x*u**2 - 2. Is 7 a factor of i(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -55 + 94 - (0 + 37)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 649*x**4 + 4*x**3 + 3 + 10*x**2 - 219*x**4 + 2*x - 220*x**4 - 211*x**4 to q*x**2 + c + p*x + b*x**4 + k*x**3 and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/1617 + -1633\/12936. What is the nearest to s in 1\/5, -0.3, -15, 1\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/215 or 0.035?\nAnswer: -4\/215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 16652, 15014, 13372, 11726, 10076?\n\"Answer: -2*h**2 - 1632*h + 18286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 16*d**2 - 16*d + 20. Let b be x(15). Let f be -1 + b - (2 + -3). Let k = f - -5. Solve 2*l - 5*t = -k - 3, -3*t + 11 = 2*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -5*z**2 - 6*z - 2. Let t(r) = r**3 - r**2 - r. What is g(u) - 6*t(u)?\nAnswer: -6*u**3 + u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 + 14*r + 106. Let l be t(20). Suppose 2*d + 70 = -3*d. Are l and d unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91518 and 252?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -499 - -778. Let y = 167 - x. Is 2 a factor of (-2)\/7 + y\/(-49)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36*(-4 - 156\/(-40)) - -4.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101320 (base 4) to base 11.\nAnswer: -950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 7:27 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 55, 76, 97, 118?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u + 618 - 11*u - 618.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 9:19 AM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -4*u + 22. Let r = -12 + u. Suppose 5*v = -4*h + 2*v - 19, 0 = -2*h + r*v + 18. Does -4 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62 and 255967.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -39, -54, -71, -90, -111, -134, -159?\n\"Answer: -f**2 - 12*f - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -379\/6 - -63. Which is the biggest value? (a) 1 (b) -4\/9 (c) -1 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 3:20 PM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -4*f**4 + 17*f**3 + 31*f**2 + 14*f - 2. Let h(v) = v**4 + v**3 - v**2 + v - 1. Let c(i) = 2*h(i) - n(i). What is y in c(y) = 0?\nAnswer: -1, -1\/2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 1733*d**6 - 11617*d**3\/3 - 2165. What is the third derivative of z(p) wrt p?\nAnswer: 623880*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.4 (b) 328 (c) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 4*f - 474, 4*f + 527 = 5*r + 21. Calculate the remainder when r is divided by 30.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 49, 48, 47?\n\"Answer: -c + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -1. Suppose -s + 190 = 4*o + 178, 2*o - 2*s + 4 = 0. Suppose h*w = 4*y - 20, -o*w = -3*w + y - 5. Solve v = 3*x, 5*v = 2*x - w*x - 13 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 3\/10 of a millennium?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29331 - 19831. What is the thousands digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(3\/(-4 + 7)). Suppose 17*i**3 - 20*i**3 - t*i**2 + 15*i**2 - 9*i = 0. Calculate i.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 12*y - 2. Let a be o(-10). Let j = 19 - a. Let m be 2 - (0 + 1*-4). Let q(k) = k - 8. Let h(b) = 1. What is j*q(c) + m*h(c)?\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*q + 17*q - 4*q + 14*q + 18*q.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1371165706.\nAnswer: 2, 41, 1913, 8741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -247 - -1304. Suppose 15*l - 1328 = o. Is l a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18780666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 + 9*g + 4. Calculate t(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/93558 and 89\/222.\nAnswer: 3461646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.1 + -5.1. Which is the third smallest value? (a) 0.02 (b) f (c) -2\/7 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21\/4 - -41\/8. Let a be (-160)\/(-210) + (-12)\/9. Put a, s, -2, -0.07 in descending order.\nAnswer: -0.07, s, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 18, -194723 in increasing order.\nAnswer: -194723, 1\/4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-26)\/4*(-6 - -4). Let g = d - 22. Let i be (g\/3)\/3 - -6. Solve 0 = -2*u - i*o + 19, -u - o = 4*u + 10 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4342, 4, -3338.\nAnswer: -4342, -3338, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = w + 3*g - 38, -139*w - 30 = -138*w - 2*g for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3.4, 3, 4, 9, 2.6?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*i = -59*i - 6, -4*z + 3*i + 5807 = 0. Does 2 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 0.3. Let m = 12.7 + q. Which is the smallest value? (a) -13 (b) m (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6 - 2*u**2 + 46 - 11 + 64*u**4 wrt u?\nAnswer: 1536*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*w + 3. Suppose 3*u = -4*x - 13, -2*x = 8*u - w*u + 3. Does 8 divide ((-3)\/6 + -3)*x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 t when two letters picked without replacement from {x: 5, t: 5}?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11363\/9 - 1261. Suppose -5*h + 15 = 5*u, -u - u + 9 = 5*h. Let k be 2*2\/u*1. Which is greater: k or o?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u + 15. Calculate a(-12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 6*g + 4*l - 4 = 0, -4*g = 5*l - 3. Suppose -5*p + 35 = -g*p - 4*t, 5*t - 54 = -2*p. What is the remainder when 48 is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -9*p - 12. Let k(d) = d**2 - 10*d + 6. Let j be k(9). Calculate the remainder when 42 is divided by s(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one sixth of a day?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1100681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 3 + 7. Let c be (-2)\/(-4)*(-12)\/v. Is 2 - (c - 584\/4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96583217.8 rounded to the nearest one thousand?\nAnswer: -96583000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56459 - 28022. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 2*y + 2. Let h be (-2)\/6 + (-5)\/3. Let m be n(h). Let x(g) = -16*g**2 + 2*g. Let o be x(m). Round o to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167 - 159 = x, 3*x - 116 = -124*v + 652 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, e: 4, t: 2}. What is prob of sequence pt?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -3125148 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -35 + -61?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -62771 and 19.\nAnswer: -1192649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -77536.5 and -0.3.\nAnswer: 23260.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -50*f + 10. Let a be h(-5). Let z(t) = 260 + 69*t - a. Let k(c) = -2*c. Calculate z(k(w)).\nAnswer: -138*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6105 + 1?\nAnswer: -6104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -328, -1 in descending order.\nAnswer: 3, -1, -2, -328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-40)*6*288\/324.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20509 is divided by 6249.\nAnswer: 1762","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*u + 90 = -2*u. Calculate the remainder when 174 is divided by (-12 + 0\/u)*12\/(-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20 - 34*f**3 - 4*f**3 + 174*f**3 + 3*f + f**4 wrt f.\nAnswer: 12*f**2 + 816*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10\/20)\/(30\/(-16) + 2). Solve -v*n = -o - n + 17, 0 = -o - n + 1 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1921 (b) 96 (c) -0.02 (d) -8 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6661109 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: Let g = -99 + 99. Solve 4*s - 5*f - 6 = 2, f + 4 = g for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11806*x + 18 - 43 + 19 - 12 + 18 + (6*x - 3*x - x)*(0 - 1 - 2).\nAnswer: 11800*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 35 = b + 4*b, -z + 7 = -b. Let n = b + 12. Suppose 2*g = g + n. Is g even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82943, 82946, 82949?\nAnswer: 82952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1534 and 149034?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - m + 1. Let j(x) = 14*x - 1 + 27*x - 4*x - 40*x**2 - 5*x - 31. Determine j(d) + 32*s(d).\nAnswer: -8*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (285\/5244*-23)\/(5\/(-328))\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 158 = -i + 2*y, 170 = 2*i - 5*y. Is 25 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 158*t**5 + 4*t**4 - 41*t**5 - 4*t**4 + (t - 2*t**2 - t)*(4*t + t**3 - 4*t) + 2*t**5 + t**5 - 4*t**5.\nAnswer: 114*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - 4*q - 10, 0 = -l + 2*q + 6 + 9 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, -1\/2, 6\/17 in increasing order.\nAnswer: -1\/2, -0.07, 6\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10764 by 4.\nAnswer: 2691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18*a**4 + 2379*a**2 + 186822.\nAnswer: -72*a**3 + 4758*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 17*l**3 - l**2 + 3*l. Let d(r) = -r**3 - 7*r**2 - 8*r - 10. Let q be d(-6). What is the units digit of k(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**2\/4 + 148563*q - 297129 = 0. Calculate q.\nAnswer: -198086, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 a factor of (2\/(-4) - 7815599\/146)\/(-2 + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13 + 96)\/(((-2)\/(-12))\/((-55)\/(-330)))\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*j - t, j + t - 5 = -4. Suppose 0 = g - 4 - j. Let d(u) = 8*u**2 + 4*u + 2. Calculate the smallest common multiple of g and d(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3377510 (base 11) in base 5?\nAnswer: 3003112011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1412.\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -262.92 * 31090.\nAnswer: -8174182.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 51*s**3 - 15*s**2 + 33*s - 4. Let i be h(3). Solve -i*g + 1341*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from liifriiqrfrlrrrqr. Give prob of sequence qq.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*y + 204 - 178 = 0, -4*q = -4*y - 108. Let x be (-149)\/(-9) + (-2 - -1). Which is bigger: q or x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*w = -147*w - 1323 for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3998, -4079, -4160, -4241?\n\"Answer: -81*h - 3917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -7.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/4)\/((-135)\/(-450)) - -4. Sort g, 6, -5 in descending order.\nAnswer: 6, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 6 - (-9 + 7)) + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-105)\/90*(-15 - (-15 - 68\/(-2737))).\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 164*o + 2295. Let t be b(-14). Let w be (-1)\/4 + (-31)\/4. Let u = 17 + w. Sort u, 4, t, -3.\nAnswer: -3, t, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 2*t + 0*t**2 + 3 + 0*t**3 - 1\/2*t**4. Find the first derivative of o(v) wrt v.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/10)\/(2204\/(-1653)).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -5*l**4\/4 + l**3 - 2*l**2 + 2*l - 3679. Determine m(3).\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 384 = -2*x - 4*d + 1666, -2603 = -4*x + 5*d. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 55 = -m + 31 + 29, 59*m + 9*c = 62*m - 27 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 175218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -24*r**2 + 4*r - 4. Let q(p) = 249*p**2 - 42*p + 42. Let c(g) = -6*q(g) - 63*w(g). Let d = 34 - 35. What is c(d)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/5658 and 145\/548826?\nAnswer: 548826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**3\/2 - 928577*a**2\/2 + 928571*a + 3714300 = 0. Calculate a.\nAnswer: -2, 4, 928575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.34 - -0.34000026. What is i rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*294.77.\nAnswer: 1473.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n - 10. Let l = -603 + 599. Calculate u(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxx. What is prob of sequence xxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-290)\/(-14) - 2\/(-7). Suppose 3*f + o + 15 = 0, 4*o - w = f - o. Let p be 26*(-1)\/f*3. Solve 5*h - p = -0*h - r, -4 = 4*h - 4*r for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -y + 4*o, 0*y + 2*y - 8 = -o. Suppose 0 = -2*i, y*z = z - i - 18. What is the units digit of -6*3\/z + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -3\/5*w**5 + 1\/15*w**3 - 1 - 47*w - 1\/35*w**7 + 3\/5*w**2 - 3\/5*w**4 - 17\/75*w**6. What is q in a(q) = 0?\nAnswer: -3, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1935, 4, 32.\nAnswer: -1935, -4, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -71 + 76. Solve -1 = -j*p + 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 652 divide 82193076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 2 + 23. Solve 0 = -3*a + 15, 0*f = 2*f + 5*a - n for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dy when two letters picked without replacement from {j: 2, c: 2, o: 2, d: 1, y: 4, q: 3}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27116748 is divided by 313.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -2*d + 3*d, -2*a - 3*d = 10. Sort -5, 0, a in decreasing order.\nAnswer: 0, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 2*r - 2, 9*r - 2 = 11*r + 4*o for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 - 1568.84?\nAnswer: -1568.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 10 = 6*x. Suppose 0 = -2*a - 2*a - 16. Let k be 0 - (x\/a - 1). Which is smaller: -2 or k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 0.5 (c) 23 (d) 5 (e) 0.051\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h - 22 = -5*z, -12 = -3*h + 7*h - 2*z for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88902 to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1762436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 5*t + 3. Suppose -x = 3*x + v - 42, -5*x + 52 = v. Let q(r) = r**2 + 45*r - 138. Let f be q(-48). Suppose -12*g + x*g + f = 0. Calculate o(g).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58816309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.11 in 0.05, -0.3, 13, -2\/11?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74716 + 6126631\/82. What is the common denominator of -41\/26 and a?\nAnswer: 1066","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -1997*q - 17. Let w(a) = -1712*a - 15. What is -13*i(g) + 15*w(g)?\nAnswer: 281*g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a + 10*a + 36 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5c (base 14) to base 15\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 473, 3428, 11389, 26858, 52337?\n\"Answer: 417*n**3 + n**2 + 33*n + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 17918805379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o + 16. Let k be t(8). Let z = 49 - k. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 10 = 0, 0 = 2*r + r + o - 17 - 14 for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -2.1. Let g = z - 1.1. Suppose 3*u + 22 = -2*v + 7*v, -3*u - 2 = -v. Put -0.4, g, u in decreasing order.\nAnswer: u, -0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 13)\/4 + 1 + 0. Determine k, given that -4\/5*k**2 - 18\/5*k**3 + 0 + 0*k - 14\/5*k**p = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of s**5 + 29*s**4 + 89*s**3 - 19*s**2 - 9*s - 19?\nAnswer: 60*s**2 + 696*s + 534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-72)\/(-30) - (-6)\/(-15). Solve 0 = -2*u + w + s, 0*u - 2*u + 3*w = 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 8*g**2 + 11*g + 24. Determine l(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10*(-32)\/(-150) + -2.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*o - 79 = 29 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 433*a + 29 = 428*a + 2*n, 4*a - n + 22 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o + 5. Suppose 0 = -4*l - 2*r - 8, 5*r + 0*r = 3*l + 32. Let a be n(l). Is (-2 + 3)\/(a\/26) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5 = -5. Suppose 2*q - 3*h = -0*q + 1679, y = -4*q - 2*h + 3366. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 83*v + 6. Let s(g) = -84*g - 7. Calculate -5*c(a) - 4*s(a).\nAnswer: -79*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 52144756969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -1155137?\nAnswer: -1155136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of b**5\/20 + 5*b**4\/12 + 5*b**3\/6 + 5*b**2\/2 + 2542*b. Let p = -6 + 2. Determine n(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -46 - 2 - (0 - (-2 + (12 - 22)))?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**2 + 3*v**2 - 3*v**4 + 4*v**3 + 5*v**4 - 4*v**3 - v**4 - 4*v**2 + 4*v**2 + (v**4 + 0*v**4 + 2*v**4)*(1 + 3 - 6).\nAnswer: -5*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**2 + 11. Let n(h) = h**2 + 5. What is -2*i(g) + 5*n(g)?\nAnswer: g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/28)\/(-6 + 153\/24).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.7 - -7. Let j = l - 3. Let y = j - -0.7. Are y and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -y**8\/168 + y**4\/24 - 3*y**2. Find the second derivative of x(r) wrt r.\nAnswer: -40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + x - 1. Let z(i) = i**3 - 10*i**2 - 9*i + 2. Let j(m) = -6*b(m) - z(m). Calculate j(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 + 5*b**2 - 4*b**2)*(10*b + 1358 - 673 - 678 + b**2)*(-8 + 5 - 1).\nAnswer: -8*b**4 - 80*b**3 - 56*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 36316614 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.961188 months to decades.\nAnswer: 0.1330099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2\/((-16)\/(-46)) - (-8967)\/(-11956))*(-117)\/15\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 3*s**4\/4 - 4*s**3 + 5*s**2\/2 - 8*s - 78. Is y(4) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 140 + 331?\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -m**2\/2 + 4*m - 2. Let h(s) = -2*s + 9. Determine -9*b(f) + 4*h(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30.92 + 31.886. Round d to two dps.\nAnswer: 0.97","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -6302 (c) -3\/11 (d) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a gram in milligrams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h + 1. Let p be (-12)\/(-54) + 43\/9. Let u be q(p). Let a be -5*(u\/(-10) + 1). Calculate the greatest common divisor of a and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b. Let j(u) = 132*u + 96. Let w(a) = -7*a - 5. Let p(i) = 5*j(i) + 96*w(i). What is p(g(x))?\nAnswer: -24*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -7. Which is the second smallest value? (a) 1 (b) d (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -768 + 9217\/12. Let g(j) be the second derivative of 6*j + 0*j**2 + 0 - i*j**4 + 0*j**3. Let f(a) = 7*a**2. Determine f(g(o)).\nAnswer: 7*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - g - 7. Let t be i(0). Let j = t + 7. Suppose -3*x - 3*w + 0*w + 48 = j, 4*w = 8. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000082326797 rounded to 7 dps?\nAnswer: 0.0000823","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54772?\nAnswer: 2, 13693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.5, -1076, 4\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 513 and 675?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2286 times -2554?\nAnswer: -5838444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2407)\/58)\/(-83)*-43.\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1207921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) -6 (c) -4\/3 (d) 1 (e) -26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220100 - -120100021211?\nAnswer: 120022101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2*((-20)\/(-5) + -2) + -4. Let j = f + 10. Solve -3*s + j*s - 4 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -8*z - 8. Suppose 0 = 4*y + 3*l - 1, -y + 4 = -0*l + 2*l. Does 4 divide j(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide (-2)\/((-15)\/(495\/(-44))) - 13426\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.0358394463 rounded to five decimal places?\nAnswer: 0.03584","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 - (-34 - -59) - 17.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.2, -0.052, -0.05, -1?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 2 (c) 0.3 (d) 2\/119 (e) 4\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + -4 + 2 - -14. Is b smaller than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7814196*3.9\nAnswer: 3.04753644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-5)*(-65)\/(-78).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 + 325*y**2 - 1930*y - 257400.\nAnswer: 5*(y - 26)*(y + 36)*(y + 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 454 bigger than 469?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/14)\/(2*30\/(-70))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -158769*u**2 + 160786*u?\nAnswer: -317538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -g**4\/6 + 11*g**3\/6 + 95*g**2 - 4. What is p(-9)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 1648.7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/4 - ((-15)\/10 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 66 + -61. Let m be 20\/q*(-244)\/16. Let k = 75 + m. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -2.6. Let y = c - 1. Let o = y + -1. Sort -5, o, 0.1 in increasing order.\nAnswer: -5, o, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2605 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 45.2988 and 0.088806.\nAnswer: 45.387606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -74 - -125. What is the remainder when 151 is divided by t?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-5))\/((-68)\/170). Differentiate -285 - 40*i + 0*i**2 + r*i**2 - 275 + 546 with respect to i.\nAnswer: 4*i - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 896037 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10535452 + -5?\nAnswer: 10535443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 5:37 AM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = t - 5*s - 15, 4*t - 18 = -3*s. What is the lowest common multiple of t and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27*f**2\/8 + 39*f\/2 + 9\/2.\nAnswer: -3*(f - 6)*(9*f + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 38745?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 1 = s, 3*w + 4*s = 5*s + 19 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -0.07664227200349.\nAnswer: 3.92335772799651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-116)\/16 - -6)\/((-1)\/(-4)). Let z = 88129\/7 - 12537. Let y = 53 - z. Sort b, y, 0.3 in decreasing order.\nAnswer: 0.3, y, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t - 29788 + 89241 - 29682 - 29771.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + (1 - (3 + 5 - (-8 + 16))).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -70 * 0.069804.\nAnswer: -4.88628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -2 - 1) + -1 + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -198801*i**2 - 16 + 397141*i**2 - 198339*i**2.\nAnswer: i**2 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -115 (base 7) in base 5?\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 4:47 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 - 3*l**2 + l**2 + 2 - 2 - l**2 + (-l - 4*l + 3*l)*(2*l + 0*l - 3*l))*(-4*l**2 - l**2 + 0*l**2) + (3 + l - 3)*(-2*l**2 + 2*l**2 - 2*l**3).\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 162132 + 1162?\nAnswer: 163324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.975 and 4.\nAnswer: -11.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1497)\/18)\/(4*(-12)\/(-32)). Let b = 111\/302 + -157435\/2718. Let s = v - b. What is the common denominator of 13\/4 and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.690031 decades to millennia.\nAnswer: 0.08690031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3 + 336*d**2 + 18816*d + 351232.\nAnswer: 2*(d + 56)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 1056.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**3 + 2*b**3 - 6*b**3 + (-2*b**3 - 3*b**2 + 3*b**2)*(-4 + 2 - 2) + (0*b**2 + b**2 + 0*b**2)*(7*b + b - 2*b).\nAnswer: 13*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 5*r + 9, -12 = -4*m + 2*r + r. Let s(q) = 2*q**2 - 11. What is the remainder when 11 is divided by s(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/3, -109, 53068.8?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18565 and 1175?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 524680792 and -0.0449.\nAnswer: 524680791.9551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-8 + -16 + -6 + 25).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h**3 + 3*h**3 - 3*h - 2*h**2 - h**3)*(1 - 6 + 0 + (-2 + 4 + 1)*(0 - 2 + 1)).\nAnswer: 16*h**3 + 16*h**2 + 24*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -314 + 205. Let r = w + 119. Solve 0 = -2*u + 4*u - r for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 9.4, -2\/13, -2\/7, -0.3, -0.27, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 786, 1563, 2340, 3117?\n\"Answer: 777*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - c + 5*c)*(-4*c + 3*c - c) + 5*c**2 + 0*c**2 - 3*c**2.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30717 or 30685?\nAnswer: 30685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0021463 rounded to 5 dps?\nAnswer: 0.00215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (7 + -6)\/((-1)\/(-29)) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 8*w + 7. Let d(t) = 5*t + 5. Suppose -56 = 6*j + 2*j. Calculate j*d(q) + 5*f(q).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - u - 1)*(27*u**3 + 38*u**2 - 38*u**2).\nAnswer: -27*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -q + 7, 0 = -5*q + 3*q - 2*v + 4 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 2*b - 2*b)*(4*b - 2*b - 4*b) + 3*b**2 + 5*b - 5*b + 6*b**2 + 0*b**2 - 2*b**2.\nAnswer: 11*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.016 times 0.092859\nAnswer: 0.001485744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-4)\/i)\/i)\/(((i\/i**(-2\/31))\/i)\/i)*i\/i**(-10)*i\/((i\/(i**(-2\/9)\/i))\/i) assuming i is positive.\nAnswer: i**(1594\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249 a factor of 73674938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 5:10 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 71502 and 2002056.\nAnswer: 2002056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oiiiiooofloeifpipo. What is prob of sequence plf?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 4*d + 2. Suppose 3*x - 4*n = 2 + 6, -n = 2*x + d. Suppose 4*j - 2*s - s - 19 = x, -2*s = -4*j + 18. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1070 - 11*p**2 + 59*p + 92*p - 1070 wrt p?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 + -72. Let c be (-11 - -12)\/((-3)\/6). Does 2 divide g\/(-7) - c\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q*q**1)))\/(q\/(((q**(1\/2)\/q)\/q)\/q)*q*q))**36 assuming q is positive.\nAnswer: q**(-126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 497624.6 less than 124726.4?\nAnswer: -372898.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.787052659 rounded to 3 decimal places?\nAnswer: 2.787","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) -2\/15 (b) 82 (c) 66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 79140490?\nAnswer: 237421470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 25404*s - 4. Calculate u(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*u + 40*u + 307500 = 0. What is the greatest common factor of 75 and u?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4750*s**4 - 2*s - 7685?\nAnswer: -19000*s**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 5:35 AM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 5:03 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -4*v**7\/735 - v**6\/20 - 3*v**5\/140 + 5*v**4\/168 - v**2 + 20. Let u(t) = 0. Calculate t.\nAnswer: -5, -1\/2, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.753 - -1.247. Which is the nearest to r? (a) -8 (b) 4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 73.070948 + 36\nAnswer: 109.070948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1104875 and 375?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 109.3 - 109.406. Put l, -5, -4, -1\/3 in decreasing order.\nAnswer: l, -1\/3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 + 7*s**2 + 9*s - 10. Let w be a(-5). Let k(t) = -4*t**2 + 10*t - 7. Let d(g) = g**2 - g + 1. Let p(x) = w*d(x) - k(x). What is p(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39549.\nAnswer: 3, 13183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, 24643, -25 in descending order.\nAnswer: 24643, 4, 2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1623564 divided by -541188?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (6 - (-7 + 4)) + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*a = 1144, 5*a + 236 = -5*q - 1194. Let o be q\/(-18) + (-17)\/(-153). Solve -3*w = n, -o = -5*n - 3*w - 4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 + 26. Suppose 5*t + p - 16 = 3*p, -p = c*t - 5. What is the third derivative of -95*f**3 + 33*f**3 + 26*f**t + 29*f**3 wrt f?\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**2. Suppose -4 = v + 3*v - j, -4*v - 4*j + 16 = 0. Let k(w) be the first derivative of -3\/2*w**2 + v*w + 3. Calculate m(k(i)).\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3333774*u**4 - 114938*u + 1.\nAnswer: 40005288*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(8\/3)*d)\/d*d)**(16\/3) assuming d is positive.\nAnswer: d**(224\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28131 * 6.\nAnswer: 168786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -113*g*r**2 - 2*g*r + 202*r**2 - 19434*r wrt r?\nAnswer: -226*g + 404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9425.984831 + 9426. What is r rounded to three dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -h**5\/60 - 5*h**4\/24 - h**3\/2 - 2*h**2. Calculate f(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -2*r + 44, 24*q - 2*r + 17 = 3*r + 77 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50204 is divided by 7168?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 595189?\nAnswer: 7, 85027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d - 739. Let y(x) = 9*x**2. Determine y(n(s)).\nAnswer: 81*s**2 - 39906*s + 4915089","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -86 (b) -2\/11 (c) -3\/8 (d) -3 (e) 1\/16 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v - 22550*v**2 + 0*v + v + 22537*v**2.\nAnswer: -13*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-105)\/(-7) + -12)\/1. Solve -5*p = 4*v + 46 - 19, -4*v = -5*p - t for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.5 + 1.5. Let m = 1 + -2. What is the nearest to 0.1 in -2\/3, l, m?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 3*n - 23. Let c be z(-7). Sort 4, c, -2 in descending order.\nAnswer: c, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 22*u - 8. Let h be p(-22). Is h >= -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence amm when three letters picked without replacement from mam.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 173401223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -21414400 to the nearest 100000.\nAnswer: -21400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 60*5\/(25\/(-5)). Let r be -5*a\/25*(-2)\/(-4). Solve y + 5*j = -4*y - 10, -r = 2*j for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l - 434. Let t(x) = -3*x**2. Calculate o(t(a)).\nAnswer: 3*a**2 - 434","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 646823083 to the nearest integer?\nAnswer: 865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 62*f**2 - 3*f - 2. Let t be z(-1). Let u be (-4266)\/t - (-2)\/(-7). Let h be (-51)\/u*16\/(-66). Put 0.2, 3, h in ascending order.\nAnswer: h, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -270, -1056, -2198, -3564, -5022, -6440?\n\"Answer: 22*w**3 - 310*w**2 - 10*w + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h - 4*r + 58 + 29, 2*r = h - 9 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-1) - (-5 - -9). Let p = -0.5 - -5.5. What is the third smallest value in a, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 - 460?\nAnswer: -457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3224623 and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*o = 40*o - 10. Let y(a) = -25*a + 6. Let q be y(o). Suppose 2*g + 4*i - 38 = 98, g - 4*i = q. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30637 - -30634. Let a = -1 - -1. Let g be 10\/15 - (a + 1). Put 4\/3, g, s, -2\/5 in ascending order.\nAnswer: s, -2\/5, g, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*u - 411*u = -1064 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5982, -5948, -5900, -5832, -5738, -5612?\nAnswer: -5448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 34791025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 753, 1530, 2317, 3120, 3945?\nAnswer: 4798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -455614, -1822445, -4100498, -7289773, -11390270, -16401989, -22324930?\nAnswer: -29159093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 35 (base 8) to base 5\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4563086767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 255836029 is divided by 3605?\nAnswer: 3599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -372*b**2 - 5*b - 648. Give z(0).\nAnswer: -648","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r*r**6))*r)\/(r\/(r\/(r\/(r**(-2\/19)\/r)*r))))**(-2\/33)\/(((r*r*r\/r**(-8))\/r)\/(r**(4\/11)*r))**(1\/42) assuming r is positive.\nAnswer: r**(-4409\/8778)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 456547 = -0*n + 5*m, -3*n - 5*m = -684858. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 1:25 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/5930 and 31\/130?\nAnswer: 77090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/4))**27*(d*d**(-2\/7)*d)\/d**9)\/((d**(-1\/4))**(2\/29)*d**(4\/9)*d\/(d**(-5)\/d*d)*d) assuming d is positive.\nAnswer: d**(-58193\/7308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**5 + 18*q**4 - 66*q**3 - 52*q**2 + 225*q - 126 = 0?\nAnswer: -21, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5520739*h - 16793674 wrt h?\nAnswer: -5520739","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0187266 and 0.2?\nAnswer: 0.00374532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13510625 - 12?\nAnswer: -13510640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -2711918.57 to the nearest ten thousand.\nAnswer: -2710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 2*q + 508 = 0, -2*o + 704 = 2*o - 4*q. Let d = 246 - o. Suppose b - 53 = d. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169 divided by -339666?\nAnswer: -169\/339666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -6*q. Suppose 5*g + 0*z = 4*z + 20, 3*z + 15 = -3*g. Let v be h(g). Solve v*x + 2*x = 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b9 + -20dc?\nAnswer: -1d23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/(-2)*(-8)\/(-10). Let q be (w - 4) + (2 - 0). Let p(y) = -y**3 + 5*y**2 - 4*y + 5. What is p(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1533, -1495, -1425, -1317, -1165, -963, -705?\n\"Answer: t**3 + 10*t**2 + t - 1545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 451?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppncpzppnnpppbpppz. What is prob of picking 1 p, 1 z, and 1 c?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, -1, 2, -3 in decreasing order.\nAnswer: 3, 2, -1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3920982 + 66293384.\nAnswer: 70214366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*b + 117 + 7*b**2 - 119 + 6*b**2 + 6*b**2.\nAnswer: 19*b**2 + 54*b - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 678\/(-42) - (-56)\/49. Suppose -3*q = 2*x - 8 + 21, -4*q + 11 = -3*x. Sort g, 2, x.\nAnswer: g, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4167, 4143, 4087, 3981, 3807, 3547?\n\"Answer: -3*l**3 + 2*l**2 - 9*l + 4177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 6:14 PM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 2*r - 9, 5*r = 3*l + 2*l - 30. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes before 6:03 PM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (1 - (-2 - -1))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10078 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312 is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.29495 to 1 dp.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -z + 3*t, -23 - 2 = 2*z + 5*t. Suppose 0 = -c - 6 - z. Let y = 38 - c. What is the highest common factor of y and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-30) + ((-18972)\/85)\/9.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 31*h**3 - 1. Let v be o(1). What are the prime factors of 5554\/v - (154\/(-105))\/(-11)?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*w + 11*w - 7*w)*(-2 - 1 + 1)*(4 - 4 + 6*w**2).\nAnswer: -324*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -64 - -126. Let w = -6 - -9. Suppose -m = -2*y - y - 7, -3*y + 57 = w*m. Calculate the remainder when q is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2737*j**6 - 4*j**4 - 3592*j**2 + j. Let o(s) = 4*s**4 + s**2 - s. Let x(t) = -d(t) - o(t). What is the third derivative of x(w) wrt w?\nAnswer: 328440*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + 8*i**2 - 8*i + 7. Let m be y(7). Let l(s) = -s**2 + 2*s + 1. Let t be l(0). Solve m = 4*v + 11 + t for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j - 4. Let h(x) = -7 + 10 + 0*x + x. Let w be ((-28)\/(-48) - (-3)\/(-12))*21. Let t be 690\/(-105) - 3\/w. What is t*h(i) - 5*a(i)?\nAnswer: 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15413 is divided by 359.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5403417276 divided by 6.\nAnswer: 900569546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven halves of a century?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 671*o. Let d(h) = -h. Calculate w(d(f)).\nAnswer: -671*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*u**5 + 2253*u**4 - 11172*u**3 - 13428*u**2 = 0. Calculate u.\nAnswer: -1, 0, 6, 746","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - (-6 + 4))*-1. What is the tens digit of b - (3\/(-3) - 20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 226 + -211. Suppose 14*a - 145 = -n*a. Let w(j) = 3*j**2 - 4. Let o(x) be the first derivative of 5*x**3\/3 - 6*x + 1. What is a*o(q) - 8*w(q)?\nAnswer: q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -555*b + 17. Let j(x) = -142*x + 4. Determine -26*j(f) + 6*u(f).\nAnswer: 362*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44 + 26. Let c be 4\/6 - (-12)\/r. Suppose v + c*v = -4, -3*t + 15 = -3*v. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2218396 and 2921?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8733867 is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of l**5\/40 - l**4\/12 - 2*l**3\/3 + 2*l + 272. Factor s(j).\nAnswer: j*(j - 4)*(j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 3\/2, 268, -8\/9, 3, 1, 0.37?\nAnswer: 268","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -182 + -2785?\nAnswer: -2947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/10496 and -67\/8704?\nAnswer: 356864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + 0.1. Let a = z + -0.1. Let c = 6\/38867 + 38843\/155468. What is the second biggest value in c, -1, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 2. Let i = y + -3. Factor 1\/3*c + 0 + 2\/3*c**i + 1\/3*c**3.\nAnswer: c*(c + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 2810?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 + 7*o**2 + 10*o - 10. Let w be s(7). Let a be ((-1404)\/182)\/((-11)\/770). Calculate the greatest common factor of a and w.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 79886*x - 1837375. Calculate j(23).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + 8. Suppose 138 = 9*x - c. What is the greatest common factor of x and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.51 + 26.49. Let y = x + -27.1. Which is the fourth smallest value? (a) y (b) -1\/6 (c) -0.4 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*w**2 + 7*w**2 + 17 - 4*w**2 - 9*w**2 + 4*w in the form u*w**2 + x*w + p and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 12*o + 14*o + 1 = 0, 14 = 7*g + 5*o for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 96701*d**5 - 384*d**4 - 29652668*d**2 + 9.\nAnswer: 5802060*d**2 - 9216*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.157888357 rounded to four dps?\nAnswer: -3.1579","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 492320, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 433?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-6))\/(-4 - 116\/(-30)). Solve 0 = -k*a + 10 - 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94 divided by 197.\nAnswer: -94\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(300))*1 + (0 + sqrt(300) + 5 - sqrt(300)))**2.\nAnswer: 60*sqrt(3) + 309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 4:21 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**3 - 12078240*s**2 - 265719828*s - 1461456392 = 0. Calculate s.\nAnswer: -3019538, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3882 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/127 - -424\/10795. Are d and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13652, 54587, 122812, 218327, 341132?\nAnswer: 491227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 11 = 2*s, 3*s = -3*z + 1 + 20. Calculate the lowest common multiple of 230 and z.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j + 8106 = 26*j. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2961141 divided by 6.\nAnswer: 987047\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n. What is the lowest common multiple of z(-6) and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 139 + -203. Let n be 48\/(-9)*(-204)\/(-176) - -6. What is the biggest value in n, -0.1, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, i: 7, s: 3}. What is prob of picking 2 i and 1 s?\nAnswer: 63\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.06 + -23.06. Let d = -22 - g. Which is the nearest to d? (a) 0.1 (b) -8\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*t + 181*t - 94*t)*(-7 + 6*t + 7).\nAnswer: 810*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 3*y + 1. Let v(c) = c**3 + 7*c**2 - 7*c + 14. Let k be v(-8). Let n(p) = -24*p + 133. Let m(d) = k*b(d) - n(d). What is the derivative of m(r) wrt r?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 2*m - 16 = -0*h, 5*h - 35 = 5*m. Suppose 0 = 2*k - 1 - h. Solve -i = k - 7 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 84\/32)\/((-3)\/2). Let q = -4 - -2. Sort 0.4, q, y in descending order.\nAnswer: 0.4, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1080 = -1494*g + 1548*g. Sort 2, g, -51.\nAnswer: -51, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 9*u - 16. Let r be n(5). Solve -12 = 4*s - 2*w, r*s - 5*w + 9*w = -12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/(sqrt(729)*1) - -4*(sqrt(40)\/(sqrt(8)*-1))**2.\nAnswer: sqrt(5)\/9 + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 13*a + 1. Let h be i(-13). Let j be 2*-5499999 + (h - 3). What is j rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/2 (b) -2 (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -115401874\/45 + 2562439. Let w = -2047 - d. Which is greater: w or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/50 - (-356)\/445?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/3)\/((4\/(-2))\/(-2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 5:47 PM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -5*n + 46, -4*n + 29 = -v - 0*n. Let r = 31 + v. Suppose -r = -3*g + 3*i, -4 = 3*g + 4*i - 1. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiifiiiaffiiff. What is prob of picking 1 i, 1 f, and 1 a?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10419 + -4856. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of -m**6\/3060 - m**5\/340 - m**4\/102 + 10*m**3\/3 - 9. Let t(w) be the third derivative of z(w). Factor t(r).\nAnswer: -2*(r + 1)*(r + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 358164200 to the nearest one million.\nAnswer: 358000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 479 (base 12) in base 9?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 61551631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 201*c - 429. What is the hundreds digit of u(22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 58765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31818 is divided by 558.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -578*t**3 - 12*t**2 + 2*t + 41. Is u(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 17\/3 + (-6)\/9. Suppose h*s = -4*r + 271, -3*r + 4*r - 4*s = 94. Let d = -37 + r. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -156 + (89 - 4) - -22?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -1 - 2 + 3*k**2 + 2*k - 2*k**2. Let i be (1\/3)\/(((-4)\/30)\/2). What is t(i)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 546 (b) 3\/89 (c) -0.41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/(3 - 1))\/1. Suppose -3 = -i*x + 3*x. Let p be 3\/(-36)*-3 + 12\/144. Which is the third biggest value? (a) x (b) p (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -287 (b) -0.3 (c) 0.4 (d) 3\/4 (e) 1298\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*a = 1078*a - 1744 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -23, 1, -0.22, 4, 261, -0.2?\nAnswer: 261","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 460112382.\nAnswer: 2, 3, 2287, 11177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 - 42 = -641*s - 20 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 8*f**2 + 3*f - 6. Let h be j(8). Suppose 2*d + w = h, w = 3*w. Is 8 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*q - 2*r, -3*r + 2*r = 2*q - 2. Let p(s) = 18*s - q*s - 6*s - 7*s. Let o(f) = 27*f. Determine p(o(b)).\nAnswer: 54*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -6*o + 48. Suppose o*y - 56 = -5*l - 16, 2*y = -3*l + 22. Solve d + l*p = 6, -p - 14 + 6 = 5*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 + 15 = -2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 837466 is divided by 837332?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 + 3095*a**2 + 57170*a + 102000.\nAnswer: 5*(a + 2)*(a + 17)*(a + 600)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.033 + -0.03299484. Round d to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4244646 divided by -6.\nAnswer: -707441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, 2, 0.06202576, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -16536*j**3*x - 19064*x wrt j?\nAnswer: -49608*j**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(379*c - 87*c + 29*c).\nAnswer: -321*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 1)\/3 + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1401310?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4*c - 152, 4*y - 176 = -0*c - 2*c. What are the prime factors of y?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (29\/1)\/(6\/(-6)). Let f = -19 - o. Calculate the remainder when 39 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3220315 is divided by 479?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - -1*(0 - -5). Suppose -5*o - 5*x + 12 + 13 = 0, -5*x + 7 = -4*o. Suppose -o*n - 6*w + 3*w - 3 = 0, -10 = a*w. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 244 + -1134013?\nAnswer: -1133436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*h - 23*h - 174*h**2 + 167*h**2.\nAnswer: -7*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/(-4) - (-4)\/(-8). Suppose 6*x = u*x. Suppose x = -h + 3 + 1. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 130904*v**3 + 178*v**2 + 308070667 wrt v.\nAnswer: 392712*v**2 + 356*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 474 - 135. Suppose 5*s - 343 = 18*f - 20*f, v = 2*f + s. 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 value of 506 - 506 - 8\/(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*s = 133 - 107 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25723462 rounded to 2 dps?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6395958*t - 3*i = -6395954*t + 32, t - i = -1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3182, 3028, 2646, 1922, 742?\nAnswer: -1008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90357?\nAnswer: 3, 30119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, o: 1, w: 1, s: 2, f: 2}. Give prob of picking 1 w, 1 c, and 1 s.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 989\/207 + (-2)\/(-9). Let n = -6 - -6.6. Sort m, 1, n in decreasing order.\nAnswer: m, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + (0\/1)\/1. Let m(n) = 63*n - 1. Let p(j) = -32*j + 1. Let z(s) = 3*m(s) + 5*p(s). Is z(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 56632\/7 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/16448 and -35\/509888?\nAnswer: 509888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -0*d - 111. Let w = -32 + d. Differentiate -12*i + w*i**3 - 5 + 12*i - 2*i**3 wrt i.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.53 + -1.64. Let m = o - 1.9027. What is m rounded to 3 dps?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = 31*z - 29 + 13. Let f(n) = -2*n - 6. Let l be f(-9). Solve -z*m - 11 + 30 = -d, 2*m - l = -2*d for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of b*l**3 + 3*b*l**2 + 4*b*l - 2*b - 39*l - 1547 wrt l?\nAnswer: 3*b*l**2 + 6*b*l + 4*b - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50869 = 3*h + 4*t, 29*h - 3*t = 25*h + 67767. Is h a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 4, 0.1, 6, -37, 276?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 5*o**2 - 6*o - 6. Does 49 divide r(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 equal to 67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/443363 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - (3912\/(-21) - (-2)\/7). Suppose 11*d + m = 17*d. Calculate the greatest common factor of 62 and d.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -341*z - 315*z - 72*z.\nAnswer: -728*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a**0*a)\/a)*a)**(1\/4)*(a\/(a\/a**7))\/(a*a*a*a\/(a\/((a\/a**(-3\/8))\/a))*a*a) assuming a is positive.\nAnswer: a**(17\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1737587 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 11:09 PM?\nAnswer: 12:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 32*h - 39. Let d = -60 + 64. Let j be c(d). Suppose -v + z = 2*z - 99, -z = -v + j. Calculate the highest common factor of v and 235.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 440131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.54 - -0.503. Let b = -0.052 - a. Let i = b - -3.015. What is the nearest to -2 in i, -2, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/764 and 51\/3629.\nAnswer: 14516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -123aa02 (base 11) to base 9\nAnswer: -4040121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 1:37 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475)*-1)**2 + 2 + 4 + -3 - ((sqrt(475) - (-2 + -2 + sqrt(475))) + 5)*2) + -5.\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 549 - 4930\/9. Suppose 5*k - 3*k = 144. Find the common denominator of r and (-2)\/8 - (-626)\/k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*j - w, 0*j - 6 = 2*j + 4*w. Let g(h) = 2*h**3 + 5*h**2 + 3*h + 4. What is g(j)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/8 and -57\/260.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**4 + 2 - 2 - 7*z**4 + 6*z**4 + 5*z**4 + 2*z**4 - 2*z**4 + 2*z**4 + (0 + 0 + 2)*(2*z**4 - 3*z**4 - z**4).\nAnswer: 6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221313696?\nAnswer: 2, 3, 2305351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*d**2\/8 - 29*d + 13\/2.\nAnswer: -(d + 26)*(9*d - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20108 is divided by 149?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 28c8 (base 16) in base 14?\nAnswer: 3b3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1686, 3371, 5056?\n\"Answer: 1685*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 16*a**2 - 2*a - 192. Let g be q(18). What is the greatest common factor of g and 588?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**5\/3 + 10*m**4\/3 + 26*m**3\/3 + 14*m**2\/3 = 0.\nAnswer: -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 118529 minus -30.11?\nAnswer: 118559.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, g: 3, x: 1, i: 7}. What is prob of sequence iiia?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/3 + 0 + 728\/24. Solve 5*v - 3*j = j + f, 2*v + 2*j = -6 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 317 or 318?\nAnswer: 318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-82)\/205)\/(1\/(-105)). What is the greatest common divisor of 357 and s?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 - -31.13. Let k = -21.43 + 21. Let i = d + k. Which is the third smallest value? (a) 3\/4 (b) i (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*t + 58567 = 0, 6*t - 3 = 3*t. Let c = 36224 - l. What is c rounded to the nearest 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/4 + -9)*(-4)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -42401 - 0.5\nAnswer: -42401.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24884750 by 7.\nAnswer: 24884750\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (51\/(-1) - -1)*-3180. Round a to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 10 = -2*x, -289*r + 293*r = x - 13 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.5 - -0.5. What is the biggest value in -3\/4, -6, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131*v + 7387 = 333*v + 442*v - 8921 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*g**6 - 247*g**4 - 17439*g**2 wrt g?\nAnswer: -2640*g**3 - 5928*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 164 + 29 = 0. Suppose -2*s = -4*b - 27 + 79, -5*s = -3*b + 32. What is the remainder when o is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w + 1. Let f be n(2). Suppose -p + 11 = -0*p + f*d, -p + 43 = -5*d. Let r = p - -16. Calculate the greatest common factor of r and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7\/11 (b) 30.529 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30025 (base 8) to base 15.\nAnswer: -39a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 3083091?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 4 + 101*z - 4 + 0.\nAnswer: 101*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33637633?\nAnswer: 33637633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 994.6612 millilitres?\nAnswer: 0.9946612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -190068 or -190070?\nAnswer: -190068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 236 a factor of 328748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the third derivative of j**8\/112 + 2*j**7\/35 + j**6\/10 - j**5\/10 - 5*j**4\/8 - j**3 - 2*j**2. Factor o(u).\nAnswer: 3*(u - 1)*(u + 1)**3*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (372 - 554 + 274)*(4 - 6 - 2 + 45*o + 4) to the form l*o + y and give l.\nAnswer: 4140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 + 30 - 28 + 56 + 133)*(3*a + 2*a - 2*a).\nAnswer: 606*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of k**6\/15 - k**5\/20 + k**4\/2 - 19*k**3\/6 + 21*k**2. What are the prime factors of r(4)?\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*x**4 + 148*x**3 + 331*x**2 - 148*x - 324 = 0 for x.\nAnswer: -2, -1, 1, 162\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 15*a**2 + 10*a + 33. Let f be s(16). Let p = f - -111. Suppose 3*y = -r + p, 2*y + 3*r = -y + 42. Is y a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-35))\/(207\/345)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 6*x. Let w(o) = o**2 - 4*o + 1. Let s(r) = -2*m(r) - 3*w(r). Let b(n) = n. Give s(b(g)).\nAnswer: -3*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9\/6*8\/6. Suppose h*q - 16 = -l - q, -3*l = 3*q - 30. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j\/j**(-1))\/j))**(2\/7)*j**(-2)*j*j**(-3)*j)\/((j**(-2\/7)*j)**(-3\/35)*(j\/j**7*j)\/j*j*j*((j*j\/j**(-2)*j)\/j)\/j) assuming j is positive.\nAnswer: j**(-95\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 0 - 2 = 0. Suppose -46*k = -41*k - 445. Suppose -4*u - s = -95, s + k = 4*u - 0*s. Solve 2*d - i = -0*d - h, 3*d = -5*i + u for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.21 - -0.23. Is 1 at most as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/12430 and -51\/1130.\nAnswer: 12430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 - 8*u - 30. Let o(z) = -z + 1. Let k(j) = 10*o(j) + v(j). Factor k(d).\nAnswer: 2*(d - 10)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 + 10*w + 8. Let z(o) = -2*o**3 + 14*o**2 - o + 4. Let f be z(7). Let s(g) = -10*g - 10. What is the lowest common multiple of s(f) and c(-7)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-40))\/(21\/4 - 1)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 4 + -2 + -9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 249.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145263, 145841, 146433, 147045, 147683, 148353, 149061?\nAnswer: 149813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 1\/4584, 0.3, 7, -6\/23 in ascending order.\nAnswer: -6\/23, 1\/4584, 0.3, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7063334855?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 89696848*x**2 - 67318943*x?\nAnswer: 179393696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -6*g + 10. Let y(h) = -3*h + 0*h - 2*h. Let v be y(-1). Solve o = v*b - 5, 0*b + g*o = b - 10 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 18*o**2. Let i(m) = -3*m**2. Suppose 3*l - 11 = -5*j, -2*l + 18 = -0*l - 2*j. Let b(f) = -3*f**2. Let d(w) = l*b(w) - 6*i(w). Calculate d(x(g)).\nAnswer: -972*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i**2 + 10792 + i**2 - 10792.\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus 161.51803?\nAnswer: -161.01803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 0. Suppose -6 + 24 = -3*t. Let k be ((-2)\/(-4))\/((-4)\/t). Which is the third biggest value? (a) k (b) r (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, -921, 1, 762, 7\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - (-18 + -4 + (-1 - (-3 - 62)))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-7 - ((-16 - -1) + 63 + -61))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -4*v - 17. Let f(z) = -z - 17. Let p be f(-7). Let m be l(p). Calculate the remainder when 59 is divided by 2 + (0 - 3) + m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1047 and 12913?\nAnswer: 38739","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 PM and 11:31 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 11*p**2 + 17*p. Let i be l(12). Suppose -5*g = 4*c - 48, -2*g + i = 5*c - 6*g. Suppose -3*z + c + 27 = 0. What are the prime factors of z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(4\/5)\/k)\/k)**20*(k**(3\/11))**(-7) assuming k is positive.\nAnswer: k**(-285\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bnhbhnqnhbhhnnn. Give prob of picking 1 q and 3 b.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101 - 10000011111011110010001?\nAnswer: -10000011111011110101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddyc when four letters picked without replacement from kckkcykdddkk.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 559663183 a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-5*sqrt(96)*2)\/((sqrt(80)*-2*6)\/(sqrt(80)\/(sqrt(8) + sqrt(40)\/sqrt(5)))).\nAnswer: -5*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 73 + -73.1. Suppose -m = 4*m - 25. Suppose -6 + 21 = -m*t. Which is the biggest value? (a) -2\/3 (b) t (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*c + 15 = -68*c. Calculate the greatest common factor of c and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f**3*o*v**2 + 62*f**3*v**3 - 2*f*o*v**3 + 4*o*v - 4*o + 2*v**2 wrt v?\nAnswer: 372*f**3 - 12*f*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -3. Let w be q\/3*(-5 - -5). Suppose 4*u = 11 + 1. Solve 2*h + 13 - u = w for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(55311\/(-10) - 4\/(-2)). Let w = s + -5539. Find the common denominator of w and 114\/(-28) + (5 - 8).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 5*i**3 - 48*i**2 - i. Let h = -49 + 71. Calculate the remainder when r(10) is divided by h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2110*j**2*u**2 - 834334*j**2 - 2*j*u**2 - 36*j*u wrt u.\nAnswer: 4220*j**2*u - 4*j*u - 36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -43 + 46. Let m be ((-11)\/2)\/((-1)\/2). Suppose -2*b + s + 6 = 3*s, 3*b - m = -s. Which is greater: b or j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -512047*c**2 - 1858846*c?\nAnswer: -1024094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p + p**3 - 2*p**2 + 93 - 105 - 15*p**2. Determine s(17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 119\/18 - 28\/9. Suppose -2*p + 3*x - 8*x = 2, -16 = -2*p + 4*x. Which is greater: p or j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 954810.2 nanometers?\nAnswer: 0.9548102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 13) to base 9\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*5*1*sqrt(624))\/((sqrt(45)\/sqrt(48))\/(-1*sqrt(320) - sqrt(320) - sqrt(5))) + -3.\nAnswer: -5440*sqrt(13) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2638.\nAnswer: 2, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 636*i = 624*i - 204 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (30\/345 + 652\/(-92))*-1688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28.8 - 28.6. Let s be -2 - (-1 + (-12)\/(-11)). Let b = 117\/77 + s. Sort b, k, -2, 2.\nAnswer: -2, b, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d + 2*s + 4, 0 = 2*d - 2*s - 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(650)*-3)\/(sqrt(18)\/sqrt(144)))**2.\nAnswer: 46800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 339*m - 326*m - 60*m + 439*m + 434*m.\nAnswer: 826*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/15)\/((-63102)\/1053 + 60)?\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 592 + -545. Suppose a*r = 26*r + 13209. What are the prime factors of r?\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 45126, 44785, 44214, 43413, 42382?\n\"Answer: -115*t**2 + 4*t + 45237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*z - 2, -3*m = 2*z - 0*m - 3. Suppose 0 = -2*j + 3*j - y + 5, j + 3*y = -5. Sort z, j, -3 in increasing order.\nAnswer: j, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -9*l - 286. Let u = l - -28. Is (-184)\/24*-1*u a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(539) + -3 + sqrt(539) + -3.\nAnswer: -6 + 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -60 + 2?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**2*n**2 + 3*h**2*n + 2*h**2 + n**3 + 174*n**2 + 2*n wrt n?\nAnswer: 2*h**2 + 6*n + 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(2 + (-3 - -3)). Suppose -3*d - d = v. Suppose -2*g = h - 14, -24 = -h - d*h - 4*g. Solve 0*x = h*x - 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 57\/2 of a meter?\nAnswer: 2850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237*j - 284*j + 53768 = 0. Calculate the remainder when j is divided by 75.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5 + (sqrt(432)*-2 - (sqrt(27) - (sqrt(27)*-2 + -3))**2)).\nAnswer: -1235 - 390*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1682\/348)\/29 + (-77)\/(-6) + (-9 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 271 - 269.87. Let t = z - -0.75. Round t to 1 decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -k - 4*k. Suppose 3*s + o = 107, -4*s + k*o + 138 = 4. Suppose l - 132 = -b, 0 = -l - 4*b + s + 112. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -546 and 0.13.\nAnswer: -70.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*h*k**4 + 16*h*k - 2036*h + k wrt k.\nAnswer: -32*h*k**3 + 16*h + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 38*r + 11825. Let i(z) = -23*z - 5906. Calculate -5*i(b) - 3*u(b).\nAnswer: b - 5945","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 2:53 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j + 4*q + 16, -22*j + 23*j = q + 3*q + 30 - 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*q - 9 - 6 = 0, 4*q + 20 = -5*z. Suppose z*n - 14 = -n. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122651 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s\/(s\/(s*s**8\/s)*s*s*s))\/s)**(-2\/93))**(5\/14))**(-2\/65) assuming s is positive.\nAnswer: s**(8\/8463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-39))\/((-915)\/(-366)).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*2 + 1)*8\/16.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612))**2 + -4 + (3*sqrt(187))\/sqrt(11) + sqrt(17) + (-3*-2*(-2*sqrt(204))\/sqrt(12))**2.\nAnswer: 4*sqrt(17) + 3056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xccx when four letters picked without replacement from cdcdfdcxxdf?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18860 and 9020?\nAnswer: 207460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*d - 91*d - 2*d.\nAnswer: -251*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1535*f + 12205 = 957*f + 879*f - 14584 for f.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -294, -1940, -6370, -15012, -29294, -50644?\nAnswer: -80490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((162\/(-45))\/((-30)\/(-20)))\/(14\/(-5))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13154944 divided by -18686\nAnswer: -704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - 4)*(-8)\/14 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 356210?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 338 at most 1683\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(24\/(-16)))\/(2\/138). Let o = -13 - l. Let q = o - 30. Solve -2*w + 1 + 0 = q*v, -5*v + 2*w = -7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a century in years?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of 296*a**8\/21 - a**4\/12 + 65*a**3\/6 + 690*a**2. Find the second derivative of l(z) wrt z.\nAnswer: 94720*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 v, and 1 t when three letters picked without replacement from {t: 1, x: 2, v: 1, p: 1, l: 1, z: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 27) + (219 - 185) - -18.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*j**3 - 2*j + j**3 + 1296 + 2*j**4 + 2*j**2 - 1295 as h*j**2 + l*j + z + w*j**3 + v*j**4 and give w.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-140)\/56*8\/50.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 5*x - 6*x + 2 - 2*x - 11*x**2 + 12*x**2. Let o be t(1). Solve o = -2*n - k - 3, -3*n - 2*k + 1 = 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2302 + 4\/(-2)*(-145)\/58. Calculate the highest common factor of p and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 39.55124ng?\nAnswer: 0.00000000000003955124","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -388, -383, -354, -289, -176, -3?\nAnswer: 242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -11*v + 3. Determine c(-3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppw when three letters picked without replacement from {p: 2, w: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1486707 to the nearest integer?\nAnswer: 1219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -611, -389, 81, 925, 2269, 4239?\nAnswer: 6961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6051, 12063, 18033, 23943, 29775?\nAnswer: 35511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55 and 41349?\nAnswer: 206745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 240\/28 + 56\/(-7).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 3*l + 8 = 0, 11*t - 6 = 15*t + 2*l for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 5:33 AM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 3) in base 13?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 31, 37, 47, 61?\n\"Answer: 2*x**2 + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h**2 - 714*h - 2057. Let s(r) = -20*r**2 - 5000*r - 14385. Let k(n) = 15*q(n) - 2*s(n). Solve k(c) = 0.\nAnswer: -139, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4325.097 millimeters in nanometers?\nAnswer: 4325097000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64750 and 591500?\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j + 2*j + 102 + j - 3*j. What is the units digit of f(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17440263?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 6*a**2 - 10*a - 19. Let h be t(-7). Suppose -4*q - 1077 = -5*o, -3*o = 2*q - h*o + 549. Let z = -160 - q. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -155, -243, -347, -473?\nAnswer: -627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-4 - -19 - 5) + 1 - -6?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-6) + 1\/3. Put d, -2, -3 in increasing order.\nAnswer: -3, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-136)\/6069 + 8\/(-84).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 64*s**2. Let v(d) be the second derivative of -d**3\/3 + 45*d. Give v(y(u)).\nAnswer: -128*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w = -12*w - 4*u - 15, 0 = 5*w - 5*u + 25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 divided by 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/3*(-2)\/4. Suppose 0*r = 5*r - 20. Sort -3, a, r in increasing order.\nAnswer: -3, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -0.932106\nAnswer: -2.796318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 21 = 59. Determine c so that 5*c**5 + 32*c - c**5 + 3*c**2 - k*c**2 + 16 + 11*c**2 - 20*c**3 - 4*c**4 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 less than -0.0105125108?\nAnswer: -0.1705125108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -99*i**5\/20 - 871*i**2 + 55*i + 7. What is the derivative of u(o) wrt o?\nAnswer: -297*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45100.\nAnswer: 2, 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-1)*(16 - (1\/(-1))\/((-118)\/354)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 6:34 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvjjvhjfjhjj. Give prob of picking 2 h.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3777?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 988, 3926, 8808, 15622, 24356, 34998, 47536?\n\"Answer: -2*m**3 + 984*m**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 59289?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4079 or -37?\nAnswer: -4079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 300?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5241805 * 0.3.\nAnswer: 1572541.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 12*z**3 + z**2 - 1. Calculate the lowest common multiple of u(1) and 33.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of i**6\/360 + i**5\/180 - i**4\/72 - i**3\/18 - 10*i**2. Let w(c) = 0. Calculate c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38504*b = 38358*b - 9490 for b.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -14*y**2 + 119*y - 11. What are the prime factors of o(6)?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 27*g - 16. Let p be c(-26). Suppose -41 - 49 = p*z. Let n(f) = 4*f**2 + 30*f + 15. Does 9 divide n(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 10*f = 20. Which is the fourth biggest value? (a) f (b) -2\/15 (c) 3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117347155 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1280 and 430.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 327711 = -5*v + 3*i, 0 = v + 2*i - 65538. List the prime factors of v.\nAnswer: 2, 3, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.428 - 0.572. Which is the nearest to 0? (a) -7 (b) 4 (c) x (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 6) to base 8\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 428686429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -582, 0.4, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -5*r**2\/2 - 2. Let l be d(1). Let j(u) be the third derivative of u**4\/12 + 7*u**3\/6 + 10*u**2. Determine j(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/(-4))\/((-2)\/(-4)). Suppose 0 = 4*s + w*r - 37, r + 22 = 4*s - 9. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -5 + 6*a - 2*a + a + 1 + 2*a**2. Let m be o(3). Suppose 0 = -3*g - j + m, -j - 7 = -3*g + 24. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -14, -26, -40?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -1 - 3\/2*q**2 + 3*q - 1\/6*q**3. Let h(r) be the first derivative of s(r). What is the first derivative of h(u) wrt u?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 12, q: 3}. Give prob of picking 2 q and 2 u.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*c + 3. Let u = -160 - -166. Let a(d) = -8*d + 7*d - 1 - u*d - 2. What is a(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -615717, -1231416, -1847021, -2462484, -3077757, -3692792, -4307541?\n\"Answer: 8*y**3 - y**2 - 615752*y + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.167? (a) 1\/9 (b) 5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34005406 plus 24666?\nAnswer: 34030072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/3 of a day?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 419 divide 1081858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 3 = -l, 3*u = -6015*l + 6018*l - 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -909200211, -909200213, -909200215, -909200217?\n\"Answer: -2*a - 909200209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 49, 77, 107?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 67\/134*16\/(-2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4397382.\nAnswer: 2, 3, 11, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15\/(-10)*(-46)\/3*11?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 71 = -4*w. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xkf when three letters picked without replacement from nnkkxfnnccnnnbkckx?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -270, -5, 13, 5 in descending order.\nAnswer: 13, 5, -5, -270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 14942, 59392, 133488, 237230, 370618, 533652, 726332?\n\"Answer: 14823*m**2 - 19*m + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*h - 41*h + 16*h - 35*h.\nAnswer: -71*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 58 and 9222.\nAnswer: 9222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 48\/5 of a millimeter?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 246962 and 18.\nAnswer: 2222658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118, -507, -1172, -2125, -3378, -4943, -6832?\nAnswer: -9057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 241*s**2 + 6336*s - 1273. Determine q(211).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 + 43. Is w a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 + 14*r - 23. Suppose 7*g - 6*g = -2*z - 25, -4*g - 3*z - 75 = 0. Give w(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*r + 10 = 0, 17*s = 13*s + 5*r - 10. Suppose 0 = -3*h + 6*h + 3*z - 2613, -2*h + 2*z + 1722 = s. List the prime factors of h.\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - b - 3 + 2 + 2*b. Suppose -10 = -p - p. Let g(z) = -6*z**2 - 4*z + 5. Let c(q) = p*d(q) + g(q). Find y, given that c(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**4\/3 + 37*p**3\/3 + 35*p**2\/3 - 37*p\/3 - 12 = 0 for p.\nAnswer: -36, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -80960 rounded to the nearest 1000?\nAnswer: -81000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 AM and 3:38 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 + 116 = 2*j. Suppose 2*n - 90 - j = 0. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*z - 7*z - 12. Let u = z + -18. Let h = u - -19. Calculate the remainder when 27 is divided by h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -569 (b) -43 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 85*t**2 - 729*t - 242. Calculate w(9).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (103*d**2 - 50*d**2 - 51*d**2 + 52*d)*(-d**3 - d**3 + 4*d**3).\nAnswer: 4*d**5 + 104*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2 + 9*m + 2. Let g be h(9). Suppose y + y = 4*u - 258, g*u - 130 = 2*y. Is 16 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123\/9 + (16 - 1739\/111).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (5862\/15632)\/(4\/(-544))\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 139, 610, 1409, 2548, 4039, 5894, 8125, 10744?\n\"Answer: 2*q**3 + 152*q**2 + q - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000115008763 to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 5*k**3 - 649*k**2 - 132*k + 115. Give n(130).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2536 - 152 = -4*j - o, 3*j - 5*o - 2039 = 0. List the prime factors of j.\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -339 - -341.01. Let j = u + -0.01. Let a = j - 1.9999872. What is a rounded to 6 dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*v + 23150 = 5*v - 24094. What is the greatest common factor of v and 589?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5582 divided by 2791?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 32.785 and 54.\nAnswer: 86.785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 448*u - 135*u - 143*u.\nAnswer: 170*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -248391, -248340, -248289?\nAnswer: -248238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 246445?\nAnswer: -246445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 594\/90 - (-21)\/(-35)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 7:19 AM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/4)\/(-3))\/(15\/90)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 + 0.1101544333?\nAnswer: 32.1101544333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*h - 13*h + 18*h - h - 2*h - h + (2*h - 1 + 1)*(-5 + 2 + 2) to the form m*h + v and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 11 = -3*w + 5, 2*w - 19 = -5*h for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 89\/140 + 4\/35. Let y(n) = -n**2 + 11*n - 17. Let k be y(9). Let u be 2\/(-3 + 3 - 14). Which is the nearest to k? (a) o (b) u (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u - 7. Let f be s(10). Suppose f = 8*p - 7*p. Suppose 2*y + 2*d = -3*d + 1543, -p*d = 5*y - 3848. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 7*k**4\/4 - k**3\/3 + k**2\/2 - k - 16. Let y(a) = -a**2 - 9*a - 8. Calculate the lowest common multiple of y(-6) and i(1).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 803 and 1067.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3801760 to the nearest integer?\nAnswer: 1950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4130380778.\nAnswer: 2, 19, 2137, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 5*u + 2. Let v(t) = -t. Let x(y) = 2*y**2 + 14*y + 4. Let h(j) = 5*v(j) + x(j). Determine 3*h(s) - 5*n(s).\nAnswer: s**2 + 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 3*n**5\/140 - 729*n**4\/28 + 177147*n**3\/14 - 43046721*n**2\/14 + 378*n. Factor w(b).\nAnswer: 3*(b - 243)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*h, 2*n + 4 = h - 5*h. Let d(x) = 3*x**2 + 29*x + 54. Let t be d(-2). Let y = t - n. Solve 4*g + 13 = j, -g - y*g - 20 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-12) + (-172)\/(-6)*30\/24. Solve -4*g - 3*w + y = 46, -2*w = g - 1 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z**(1\/2)\/z))**(-32))**(-2\/89) assuming z is positive.\nAnswer: z**(96\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 960 = 53. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*(v**5*v)\/v)\/v)\/v*v)\/v*v**12*(v\/(v\/v**(2\/63)))\/(v*(v*v**33\/v)\/v) assuming v is positive.\nAnswer: v**(-1069\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -78295 (base 10) in base 6?\nAnswer: -1402251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-4\/11))**(-32\/3)\/(w\/(w\/((w*w*w**(2\/57)*w)\/w*w)))**(24\/5))**7 assuming w is positive.\nAnswer: w**(-234584\/3135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -54 + 166. Suppose 208 + 814 = 73*w. What is the greatest common divisor of b and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 4. Let p be ((-1)\/2)\/(z\/(-4)). Let t = 0 - p. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 135954341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -390*h + 123*h - 258*h - 1039*h + 166*h.\nAnswer: -1398*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5074 is divided by 1544?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*s + 18 = -20*s. Let j be -6*s\/(-9)*30\/(-40). Suppose -5*p + j*f + 809 = 0, -3*f + 145 = p + 2*f. Calculate the greatest common divisor of 20 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of m**6\/360 + m**5\/20 + 5*m**4\/24 - 4*m**3\/3 - 23*m**2. Let y(c) be the first derivative of p(c). Determine y(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 11*w + 4. Let c(r) = -32*r - 44. Let i(j) = 25*j + 36. Let z(q) = 5*c(q) + 6*i(q). Determine 2*k(f) + 3*z(f).\nAnswer: -8*f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.262 + 0.052. Let g = -0.32 - a. Let y = 0.19 - g. What is the third biggest value in y, -0.3, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v - v + 18*v**3 + 3*v.\nAnswer: 18*v**3 - 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 300646244 to the power of 1\/5, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 82550 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1275 and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 41*x = -44*x + 24, -2*y = -3*x + 27 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-35))\/((-30)\/560).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/2*(-1 + 59). Let k = 142\/5 - x. What is the closest to -0.2 in -4, 1\/7, k?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a millennium in decades?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 v when two letters picked without replacement from {v: 17, z: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 40471 greater than 30341?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 7*x + 1. Let r be z(-7). Let h = 3 - r. Suppose 4*i - 91 + 27 = 5*w, -h*i = -5*w - 22. What are the prime factors of i?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*s + 16*s + 110 = 5*w, 5*s - 3*w = 240. Calculate the greatest common divisor of s and 675.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/3*(-9)\/114. Let z = n - -89\/76. Solve 3 + 3*u + z*u**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 600000*m. Let y be (-10)\/3*(-6)\/5. Suppose -2*b + 1 = -4*t + 5, -2*b + y = 4*t. Let j be h(t). Round j to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 51230 - 4320?\nAnswer: 42510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-114)\/(-27) + (2 - 40\/18). Let k = -1.54 + 5.615. Let m = k - 0.075. What is the closest to b in 0.3, 0, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 251*l**2 + 16371*l + 9986945 wrt l.\nAnswer: 502*l + 16371","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(2\/13)*j\/(j\/(j*j**44\/j))*j*j*(((j\/(j*j\/(j*j\/(j*j*(j**(-24)*j)\/j))))\/j)\/j)\/(j*j*j**(-1\/11)) assuming j is positive.\nAnswer: j**(9330\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.6 - 6. Let a = -10.4 - -10.5. What is the closest to a in v, 0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*o + 11*o = -5*n - 30317, -n + 196960 = 13*o. What are the prime factors of o?\nAnswer: 109, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 3*m = -14 + 9 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*f - 304 = 150*f - 2110 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1336ba63b + -4?\nAnswer: -1336ba643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4203\/2 - 79807\/38. Which is smaller: 2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 + (12 - 6) + -10 - 3\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -115 - -117. Let t(g) = 7*g**3 - 5*g**2 + 4*g - 6. Let m be t(i). What is the highest common divisor of m and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*z + 1606 + 11242. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -127 - -297. Suppose -g = -5*m + 5. Calculate the remainder when m is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**2 + 3*r - 5 + 3 + 0*r**2. Let z be t(-4). Suppose 3*c = 2*p + 2*c - 6, 4*p - 20 = -z*c. Solve 0 = x - 3*x - p for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) -44 (c) 1\/3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (30 - (32 + 4)) - (0 - -44)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 6:58 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -29*o - 20. Let s be h(-15). Suppose 0 = -5*f - g + s, -f + 49 = 5*g - 34. Let w = f + -14. What are the prime factors of w?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9691 and 13215?\nAnswer: 145365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 110\/56 - 26\/(-91). Are v and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-15)*(-63)\/(-126).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -60.2 from -5.\nAnswer: 55.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -3*y**2 - 4*y + 8. Suppose 3*p + 5*z = -7, p + 3*p - 39 = 3*z. Let h be l(p). Let f = 146 + h. What is the highest common factor of f and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 9*p**2 - 16*p - 13. Let t be o(-7). Let j be 0\/t + (14\/(-7))\/6. What is the closest to j in 10, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15822 smaller than -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + (-6)\/(-2)*1. Suppose w + 530 = 2*a + q*w, 5*a + 4*w = 1359. What is the highest common divisor of 25 and a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 2 - (3 - 5)) + (-401 - -416) + 27.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-363)\/66*4\/(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 14. Suppose q*s - s = -10. Suppose -s*z = -233 - 277. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -33*m**4 + 3*m**3 - 3*m**2 + 5*m - 52. Let w(u) = 34*u**4 - 2*u**3 + 2*u**2 - 4*u + 51. Let f(b) = 2*j(b) + 3*w(b). Differentiate f(d) wrt d.\nAnswer: 144*d**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 65 = 6*j - j, -j = d - 5. Suppose 8*t - 5*t = j. Solve t*p + 2*h = -9, 5*p - 3*h - 4 = -0*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 38, 46, 22, -46, -170, -362, -634, -998?\n\"Answer: -2*a**3 - 4*a**2 + 34*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 105 - 105. Suppose u - 2*h - 258 = b, -2*u = 4*h - h - 509. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(468)*3)**2 + sqrt(468) - (2 + sqrt(468) + -1 + sqrt(468) - sqrt(468))) + (-2 + sqrt(468) + 2 - ((sqrt(468) - sqrt(468)*-2)**2 + -2)).\nAnswer: 6*sqrt(13) + 12637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 28*n. Let l(i) = -4*i**2 + 7. Let a = -298 + 296. Let o(v) = -v**2 + 2. Let h(c) = a*l(c) + 7*o(c). Determine s(h(r)).\nAnswer: r**4 - 28*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 + 2044\/(-98))\/(1\/(-7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - 5842042\nAnswer: -5842041.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224 = -83*s + 191 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y + 1145 - 574 - 567.\nAnswer: 4*y + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -6. Let d = -1 - l. Suppose -3*g - 5*v = -v - 30, 3*g - d*v - 12 = 0. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of o**6\/360 + 2*o**3 + 7. Let n(s) be the third derivative of c(s). Let a(b) = 15*b. Calculate n(a(w)).\nAnswer: 225*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -28. Let u = n + 15. Put u, 2\/5, 1\/2 in ascending order.\nAnswer: 2\/5, 1\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(275)*-2)**2.\nAnswer: 1098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 22*c**2 + c + 26. Let o be y(-22). Solve 23 = -4*d + 3*p, -o*d - 29 = -5*p - 4 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 516? (a) 2 (b) -1 (c) 0.03 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*f = -244*f + 5*x, -4*f + x = x + 5*x + 18 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 862535499?\nAnswer: 3, 7, 41073119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -11) + 2\/(20\/(-38))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*s + 80*s + 378 = 0. Suppose -11*k = -1 - s. Determine q, given that 4\/5 - 2\/5*q**2 + 4\/5*q**k - 14\/5*q**3 - 2\/5*q**4 + 2*q = 0.\nAnswer: -1, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99363 and 561.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 37\/7 - (-1 + 9\/(-28)*-4). Put 279, 4, -4, t in decreasing order.\nAnswer: 279, t, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9)\/(-3 - 9\/(-2)). Let l = y - -8. Let s be (-1)\/l + (-29)\/(-6). Which is greater: s or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*r - 59 + 15 + 26 + 18.\nAnswer: 19*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1425 - -1544. What is the remainder when s is divided by 6\/8 - (-228)\/16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 4*i = -2*k, 0 = 3*k + i - 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 64 and 497480.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 12, 4*k + 2424 = q + 644. Calculate the lowest common multiple of q and 663.\nAnswer: 5304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 67\/4 + -17. Let w = -0.04 - 0.76. Let k = 1 + w. What is the nearest to 0 in -4\/3, p, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/5*14035\/(-2406)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 472 = 863. Suppose i - 5*q - 182 = 0, -5*q - 259 - k = -3*i. List the prime factors of i.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2557305 is divided by 365329.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/56 and ((-1206)\/42 + 4)\/(-6)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 89 - -124. Let r = d + -219. Let v(o) = -o**2 - 6*o - 13. Let h(t) = -t**2 - 6*t - 14. Let f(x) = -5*h(x) + 6*v(x). Determine f(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -90475\/3 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101348979.\nAnswer: 3, 43, 785651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -4*n + 3. Let x be (-6)\/n*(-32)\/(-12). Suppose x = -3*j + 2*m, -5*m + 6 - 13 = j. Let h(u) = -4*u**2 - u + 1. Calculate h(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5415240293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 100, 260, 472, 736, 1052, 1420?\n\"Answer: 26*g**2 + 82*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 5:06 AM?\nAnswer: 10:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 j when two letters picked without replacement from {b: 2, e: 1, y: 1, o: 2, j: 1, f: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 733\/9, 32, 2, 1\/4 in descending order.\nAnswer: 733\/9, 32, 2, 2\/3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (115\/46)\/(310\/5456)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13842287, -13842283, -13842279, -13842275, -13842271?\n\"Answer: 4*r - 13842291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 37*t. Let a(o) be the second derivative of o**4\/6 + 41*o. Calculate a(h(r)).\nAnswer: 2738*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 169 - 161. Which is bigger: f or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 4*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/1*5\/(-40)*4.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9106?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 4*d + 0 to o + s*d and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -3, -6.\nAnswer: -6, -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1704123173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -253.4 * 0.777\nAnswer: -196.8918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (870\/696)\/((-15)\/18)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(20)\/sqrt(2))\/sqrt(5) - (sqrt(2) + sqrt(8)\/sqrt(4)*4)) + (0 + sqrt(200))*4)**2*-5.\nAnswer: -12960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -4*b + 2*k, 3*b - 2*b + 2*k = 5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 717491 is divided by 239144.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 * -1022549.7.\nAnswer: -13293146.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1468149 is divided by 1239.\nAnswer: 1173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 0.2104726\nAnswer: -0.08418904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -816, -818, -820, -822, -824, -826?\nAnswer: -828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + (1 + -7)\/(-2). Let v = 1.5 - 1. Let z = 14 + -12. Which is the nearest to 0? (a) x (b) v (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -89 - -89. Solve j = -2*w - 2*w - 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 l when two letters picked without replacement from slbfjyb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/((-12)\/(-21) - 40434\/70980). Calculate the greatest common divisor of 20 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.2, -0.4, -1\/2, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i**4 - 5*i**4 + 3*i**4 + (2 + 2 - 2)*(-5*i**4 + 3*i**4 + 6*i**4) + 15 - 15 - 2*i**4.\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 4:52 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 302, 2\/11, -4, 3, 3.9, 2\/7 in descending order.\nAnswer: 302, 3.9, 3, 2\/7, 2\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -7 - 124*c + 616*c - 4. What is the hundreds digit of n(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3\/4, -0.2, -211, -4, 3\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -112431.42703975 - -112609.427. Let b = f + -178. What is b rounded to 6 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*i - 1\/4 - 1\/4*i**2.\nAnswer: -(i - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-20)*j*j)\/(j*(j\/j**(-2\/9))\/j))**(-31) assuming j is positive.\nAnswer: j**(5363\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, p: 1, q: 1}. What is prob of sequence kk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 7 + 0)*(3*d - 24*d - 7*d) + 2*d - 3 + 3 + 3 - d + 2 - 3.\nAnswer: 141*d + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 4:40 PM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -868\/27 (b) -1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3dc4 (base 15) to base 7.\nAnswer: -53404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 19*j + 60. What is s(-13)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 92923762 to the power of 1\/4, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-107593)\/34)\/(3\/(-6)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64\/(-400)*(3\/4)\/((-135)\/(-90))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 36 = 2*u + 2*t, 5*u - 5*t = 105. Let y be (6\/(-20))\/(6 + (-96)\/u). Are y and -28 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 7*i**2 + 12*i + 32. List the prime factors of d(7).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjl. What is prob of picking 3 j?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x**2 - 5*x - 1. Let v be u(-2). Which is bigger: v or 2\/19?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-6))\/((-10)\/(-16)*4).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 23366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2025 to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 10:49 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 85, 195, 339, 511, 705?\nAnswer: 915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from oxxonoixxwxooxxi?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s, 1 f, and 1 g when four letters picked without replacement from grgsfgfrrfgsgfsrsg.\nAnswer: 4\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**3*x)\/(x*x**0)*x**(-18\/11)*(x**(-2\/3)\/x**(-1\/7))\/(x**(2\/13)\/(x\/(x**1\/x))) assuming x is positive.\nAnswer: x**(5063\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -4*g - 16 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -720 + 610 - (-6 + 21)?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - f + 4 - 913717*f**2 - 9*f.\nAnswer: -913717*f**2 - 10*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1153 + -1134.025. Let h = z + -19. Let j = -7.325 - h. Round j to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 32.02605692 - 0.02584692. Let v = -32 + u. Round v to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 142151?\nAnswer: -142150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*f**5 + 61*f**3 + 67*f.\nAnswer: 220*f**3 + 366*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 10*j**2 - 113*j + 36. Let q be i(11). Suppose -1 = -5*g + 3*c, 0 = 3*g - 0*g - q*c - 3. Sort -306, -3, g in descending order.\nAnswer: g, -3, -306","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -46075023 + -4?\nAnswer: -46075027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 8 + 1 + k + 24 - 22*k**2.\nAnswer: -22*k**2 + k + 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x - 7*x - 2*x.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r + 98*r**2 + 99*r**2 - 198*r**2. Let d be -2 + (-1 - (0 + 1)). Determine g(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -126*h**5 + 4924*h**3 - 2*h**2 + 3*h + 8224051?\nAnswer: -2520*h**3 + 29544*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 9:55 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 17*m**2 - 4*m + 28. Let s(x) = -x - 1. Let l(y) = -j(y) + 5*s(y). What is the derivative of l(o) wrt o?\nAnswer: -34*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*f + 3 = 5 - 2. Which is the second smallest value? (a) 3 (b) f (c) 515\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c - 7. Let g(b) = 4 - b + 7 - 11. Let d(u) = 2*g(u) + v(u). Let m(j) = 4*j + 2. Let w be m(-2). What is d(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 138.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -60251.282.\nAnswer: -180753.846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 44\/(-55)*1\/4\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1940*m**2 - 1886*m**2 + 3487*m**2 + (m - 1 + 1)*(-m + 3*m - 4*m).\nAnswer: -341*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57020?\nAnswer: 2, 5, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + -1 + -7 + 6 + (11 - 9)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - q. Let f(l) = 7*l - 10. Let w(u) = f(u) + 2*n(u). Let m(t) be the first derivative of w(t). Differentiate m(k) with respect to k.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -532 + 535. Suppose -5*q + 7*j - a*j = -166, -2*j - 68 = -2*q. What is the remainder when q is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22.5 and 417340.\nAnswer: -9390150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a. Let r = -8 - -8. Suppose r + 2 = -2*p. Let u be k(p). Solve b + 9 = -2*b - u*o, -b - 7 = -o for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003748406 to 7 dps.\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 36 = 4*q, -7*s - 1093 + 1150 = -q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((144\/27)\/8)\/(1\/(-48)*20)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**6*f**36*(f**(-8\/5)\/f)**(-8) assuming f is positive.\nAnswer: f**(319\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/109740 and -34\/9.\nAnswer: 329220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 3*i**2 + 4*i - 2. Let o(r) = 7*r + 54. Let k be o(-7). Let u(w) = -7*w**2 - 9*w + 4. Give k*f(z) + 2*u(z).\nAnswer: z**2 + 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 13\/12 of a day?\nAnswer: 1560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185*a**2 + 294*a**2 - 476*a**2 + 3093*a - 3093*a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9.7 and 81.9.\nAnswer: -794.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 721 and 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2*r**5\/13 + 8*r**4\/13 + 14*r**3\/13 - 44*r**2\/13 - 48*r\/13 = 0.\nAnswer: -2, -1, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 207 - 2?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of m**5\/20 - 30*m**3 - 60*m**2 - 116*m. Differentiate i(v) wrt v.\nAnswer: 3*v**2 - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k - 2. Suppose -8*o = -4*o + 16. Let c = o + 12. Let w be m(c). Solve 1 - w = a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w + 419*m - 426*m + 24, -61 = -11*w - 3*m for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 - -5. What is the third derivative of 19*v**3 - 3*v**2 + j*v**3 + 4*v**2 - 44*v**3 wrt v?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -53 and -50754947016.\nAnswer: -50754947069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/5 + (3410\/25 - 2). What is the common denominator of 23\/8 and (-3)\/(-4)*(-2)\/(12\/v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6583*a + 6566*a = 102 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -177044868289*z**2\/2 - 2524602*z - 18.\nAnswer: -(420767*z + 6)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(-13*u**3 + u - 4*u + 5*u).\nAnswer: 13*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 5*b - 2. Let m be 88 - ((4 - -1) + -12). Suppose 69 = 5*g - j + m, 0 = -3*g - j - 14. Determine u(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 s when two letters picked without replacement from {s: 1, b: 3, u: 1, f: 6, a: 2}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -459.\nAnswer: 2295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -75511*l**3 - l**2 + 4*l - 3. Let y be u(-5). Let r = -17638827 + y. What is r rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 199 + -197. Find r such that 0*r + 2\/9*r**z - 2\/9*r**3 + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -w - 5*p, 4*w - 33159*p + 33163*p = 44 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -39.35.\nAnswer: -38.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 9:45 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1486277459?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + s + 3. Let z be c(-4). Let d = z + 25. Suppose -3*y - 150 = -d*y. Does 16 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 3*u - 57 = 0, 2*h - u - 118 = -3*u. Let r = h - 52. Solve 0 = -2*q - 2 - r for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4 + 0 - 3 - 3407*f + 3410*f. Let y(c) = -c. What is -2*x(r) - 7*y(r)?\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -11*y**5\/5 - 14*y**4 - 80*y**3\/3 - 1404*y. Factor k(n).\nAnswer: -4*n*(n + 2)*(11*n + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 8*b. Let m(o) = -o**2 + 3056 - 102*o - 3056 + 19*o. Give m(h(n)).\nAnswer: -64*n**2 - 664*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-960)\/84 - -5\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327317 is divided by 11861.\nAnswer: 7070","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 66*b + 62*b + 197*b + 34*b in the form k*b + o and give k.\nAnswer: 359","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34058 - 69*l + 34058 - 17*l.\nAnswer: -86*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -587*n**2 + 14*n - 5. Let b(h) = -585*h**2 + 17*h - 6. Calculate -5*b(k) + 6*j(k).\nAnswer: -597*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(6480) + -4*-1*sqrt(6480))*6 + (sqrt(6480) + (sqrt(6480) - (4 + -1 + sqrt(6480) + sqrt(6480))))*6))**2.\nAnswer: -349920*sqrt(5) + 52490916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*z - 4272 + 4547 for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 4*i**2 - i + 9. Let z(o) be the second derivative of -o**5\/20 - o**4\/4 + 4*o**2 - 4*o. Let m(p) = -5*q(p) + 6*z(p). Give m(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 5*f + 3. Determine y(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 - -6. Let f = z - -16. Put -0.1, -0.4, f in ascending order.\nAnswer: -0.4, -0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -159933, -159934, -159935, -159936?\nAnswer: -159937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q. Let k(i) = -2*i + 3. Let s(r) = 6*r - 8. Let v = -20 + 12. Let g(z) = v*k(z) - 3*s(z). What is d(g(c))?\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*y - 2*y + y)*(-14*y - 18*y - 1 + 8*y) as k + c*y**2 + t*y and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**4\/4 + 11925*v**3 + 71556*v**2 + 143116*v + 95412 = 0. What is v?\nAnswer: -2, 47706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 125918456 and 4.\nAnswer: 125918456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**3 + 87*t**2 - 128*t + 86. Let x be s(42). Which is the closest to 0? (a) 0.2 (b) -2\/5 (c) 1.7 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -751 and 0.1.\nAnswer: -75.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 28*j**3 - j**2 + 1. Let z be 1\/(-5)*(-91 + 86). What is l(z)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -86 - -82. What is the nearest to 0.1 in 0, s, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 9244*m - 27731. Determine g(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1084041?\nAnswer: 3, 7, 17207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**3 + 3*j**2 + 4*j. Suppose 4*r = 341*c - 343*c + 2, -5*c - r + 14 = 0. What is w(c)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -7*l + 85. What is the greatest common divisor of l and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2616635181.\nAnswer: 3, 23, 37922249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - u - u)*(-25 + 299*u + 57 - 32).\nAnswer: -299*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/sqrt(2)*-3*5)**2 + (4 + sqrt(48)\/sqrt(6) + -5)**2.\nAnswer: -4*sqrt(2) + 4059","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/6856130 and 74\/14397873.\nAnswer: 143978730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5*x - 2 + (2 + 4 - 5)*(1 - 1 + x) + 0*x + 73 - 76 + x)*(11*x - 11*x + 3*x**2).\nAnswer: -9*x**3 - 9*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + 5 - 17 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**34\/((m**(-1\/27)*m*m)\/m)*m**(-1\/19)*m**42 assuming m is positive.\nAnswer: m**(38467\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -26582 times -737.5?\nAnswer: 19604225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 25 = 339*m - 334*m, s + 3*m = -9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 216537454 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*b**4 + 5*b**2 + 0*b**4 - 5*b**2 + (-19 + 4 - 5)*(-10*b**4 + 16*b**4 - 34*b**4) to the form k*b**2 + u*b + n + o*b**4 + y*b**3 and give o.\nAnswer: 549","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 - (-13 - (-1 + -9))) + (39 - -2).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (28\/(-12))\/(1\/3). Let v(d) = d + 10. Let h be v(b). Suppose -2*o + h*o - 4 = 0. Put -4, o, -5 in increasing order.\nAnswer: -5, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 67 and 2.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 471.319 grams?\nAnswer: 471319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0819024946 less than -24?\nAnswer: -24.0819024946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 48*h + 43*h + 5, 0 = -5*z + 2*h + 26. Calculate the highest common factor of 676 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + h - 11 = 0, 2*f - 26 = 5*h + 7. Find the first derivative of 224*g + 6*g**2 - f - 2 - 224*g wrt g.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 713 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1014?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 3, 2\/129, 1\/6, -0.1, -4 in descending order.\nAnswer: 3, 1\/6, 2\/129, -0.1, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 38125*s + 4155691. What is g(-109)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4172459 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -21220 divided by 5\nAnswer: -4244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/161 - (0 + 96\/(-46))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0391437*0.36.\nAnswer: -0.014091732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -138 - -135. What is the nearest to t in 4, -1\/3, 0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1048.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/56 and 99\/102815048.\nAnswer: 102815048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1652939?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -q + 5*t + 179, -4*q - 5*t + 716 = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 15958\nAnswer: 1\/15958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7163.212 weeks?\nAnswer: 4332310617600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - (-4)\/(-6)*3. Let d = 783 - 826. Which is smaller: d or n?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31186507*g**3 - 9788883*g**2 + 10*g?\nAnswer: 187119042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125325383 is divided by 673?\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*1\/12)\/(9\/12).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -145*j**5 - 8960*j**4 + 27160*j**2 + 5*j wrt j.\nAnswer: -8700*j**2 - 215040*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -11*r. Let l be u(1). Suppose 0*n = n - 2*z - 21, -3*z - 41 = -2*n. Let x = l + n. 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 fourth smallest value? (a) -1 (b) 1\/10 (c) -2.39 (d) -0.4 (e) 80\/11 (f) -1\/10 (g) -1\/4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -114.6 + 127.6. What is the smallest value in 0.2, -3, -2\/5, x, -1\/12?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/24 of a millennium?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -395.9794 - -396. Let j = u + 0.0794. Which is the closest to j? (a) 2 (b) 3 (c) 5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - q + 3. Let f be p(-3). What is the remainder when -1 + (f + 0 - 2) is divided by -3*1\/(-2)*(45 + -51 + 8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 11) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -8*a**2 + 5*a. Let m(l) = 1 - l + 8*l**2 - 7*l**2 - 1. Determine 5*m(j) + u(j).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/9? (a) 4 (b) -2 (c) -7 (d) -16 (e) -1.459 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by -22\nAnswer: 19\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tnnttcbcwtbtbbtntw. Give prob of sequence wbcc.\nAnswer: 1\/4590","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n + n**3 + 9*n**2 + 0*n**3 - 5 + 0*n**3. Is j(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 86*w - 2. Let v be q(1). Let k = -61 + v. Suppose 8*a - k = 217. Is 30 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 759 a factor of 65156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -52, 750, 2816, 6776, 13260?\n\"Answer: 105*i**3 + 2*i**2 + 61*i - 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = r - 18. Solve -k = -r*k + 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/3 - 180446*g\/3 - 8304748\/3.\nAnswer: 2*(g - 90269)*(g + 46)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 884342?\nAnswer: 2, 442171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**2 + 408*f + 12113 with respect to f.\nAnswer: 4*f + 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1375 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64838, -64862, -64882, -64898, -64910, -64918?\nAnswer: -64922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 203465 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45 - 44. Is b\/6 - 546931\/(-66) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.038758 - 124.406615.\nAnswer: -124.367857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*f - 5*f**3 - 43*f - 23*f.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/15 + -7\/15. Let s = 190\/7 + -781\/28. Let u = -8 - -3. What is the nearest to s in n, 3, u?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g be 3850\/(-300) + -4 + 17. Let f(r) be the third derivative of g*r**3 + 1\/60*r**5 + 1\/12*r**4 - 7*r**2 + 0 + 0*r. Factor f(h).\nAnswer: (h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 5*u + 40 + 210, 3*i - 2*u + 375 = 0. Let x = -1127\/9 - i. Which is greater: x or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 5*r**2\/2 - 3*r + 1. Let q(a) = -6*a + 4. Let k = -20 + 16. Give k*t(w) - 3*q(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v - 3*l = 42, 56*v = 54*v + 6*l + 24 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 18. Let u = i - 14.9. Put 2, u, -3 in decreasing order.\nAnswer: 2, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13109, -13156, -13215, -13292, -13393, -13524, -13691, -13900?\nAnswer: -14157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -154*c + 1995. What is g(13)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, k: 1, p: 3, r: 5, l: 2, m: 3}. Give prob of sequence brll.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**3\/2 + 111*t**2\/2 - 242*t. Let b(c) = c. Give b(h(l)).\nAnswer: 3*l + 111","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -749*g - 129291 = 214*g + 404*g + 454*g for g.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 304595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 4*v**2 - 2*v + 5. Let j be g(4). Let n = j - -2. Which is the second smallest value? (a) n (b) -0.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.37 + -0.47. Is 28 at most h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25965 - 0.028722\nAnswer: -25965.028722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -1121*h**2 - 59*h - 59. Let z(j) = 56*j**2 + 3*j + 3. Determine -3*n(q) - 59*z(q).\nAnswer: 59*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-285)\/(-70) + 28\/(-392). Put 53, 2, b, -2 in descending order.\nAnswer: 53, b, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -t + 996, -6*t + 5*t + 990 = r. Let n = t - 585. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*d - 51*d - 51*d in the form f + l*d and give l.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (64\/2)\/(2\/4). Suppose 84*n - 10175 = 8514 - 6593. Calculate the highest common factor of n and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.2 - 8. Let k = 8946 - 8948. What is the closest to t in -5, 5\/2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -129, -311, -579, -939, -1397?\nAnswer: -1959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 128866 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 160*p**2 - 2*p - 1. Let i be y(-1). Let a = i - -11. Suppose 5*g = 43 + a. What are the prime factors of g?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 2*x - 96. Suppose -5*p + 33 = -3*j, 4*j - 5*j + 40 = 4*p. Let z be 0 - -1 - (-6 - p). Calculate the greatest common factor of x and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 18. Let m = s + -14. Let u = m - -22. What is the remainder when 35 is divided by u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 916088 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**2 - 4*a**3 - 64*a - a**2 + 5*a**3 + a**4 + 66*a as v*a**3 + q*a**2 + i*a + r*a**4 + d and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-1 + -2) - (-8 - -4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8036*r**2 - 2*r + 813?\nAnswer: 16072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2493\/4 + -22445\/36. Which is the smallest value? (a) -1\/2 (b) t (c) -6\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i - 1\/3*i**2 + 0.\nAnswer: -i*(i + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54797639?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2 - 5*g**3 - 191*g**2 + 1 - 3*g + 188*g**2. Let t(l) = -19*l**3 - 11*l**2 - 11*l + 11. Determine 22*r(y) - 6*t(y).\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0*j - 10 = 0. Suppose -5*f + 14 - 59 = 0. Let p = f - j. What is the closest to 0.1 in -4, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2881429 is divided by 20?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 5984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -474957 or -474967?\nAnswer: -474967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 + 6)*(1 - -2). Suppose -q*j = 4*z - 4, 1 = 4*j + 4*z - 7. Suppose -38*a - j*a**3 + 16 + 16*a**2 + 6*a + 4*a**2 = 0. What is a?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-18)*-8 - (-2)\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -40*u**2 - 294*u + 1155. Give c(4).\nAnswer: -661","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/120 and -26\/735.\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1425 - 455 = 97*a. Solve 8*s + a*s = -11*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 510135\/(-479)*(116\/(-6) + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 32 = 5*g, -w - 16 = g - 4*g. Suppose -14 + g = -2*u. Let y = 16 - 13. Solve -y*d + s - 4*s = 15, -3*d - u = s for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 3*n + 17. Let g be z(7). Let m = g + -32. What are the prime factors of -1 - (m - (3 - 0))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 699492 a multiple of 426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**3\/5 + 423*p**2\/5 - 639*p\/5 = 0. What is p?\nAnswer: -213, 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5122 divided by -394?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate b*l*s**2 - 3*b*l - b*s + 8*b - 18*l*s - 2*l with respect to s.\nAnswer: 2*b*l*s - b - 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q + 2*q**2 - 3*q**2 + 27*q - 3*q.\nAnswer: -q**2 + 23*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-7))\/(m*(m**(5\/3)*m)\/m*m))\/(m**(-2))**(-2\/87))\/(m**8*m**0*(m\/((m*(m\/(((m*m\/(m\/m**(-6)))\/m)\/m))\/m)\/m*m)*m*m)\/(m**3\/m)) assuming m is positive.\nAnswer: m**(286\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 239342523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 108130 + -50153. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -5*k + 55. Determine i(4).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -84 + 84. Suppose j + 172 - 1365 = v. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(-10)\/45*-3. Factor 16 - 12 - d**3 - d**4 - 4 + 6*d**x.\nAnswer: -d**2*(d - 2)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1530379800 to the nearest 1000000.\nAnswer: -1530000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 517787 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 at most -20896?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -193.\nAnswer: -5\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2296*u - 1064. Let j(l) = 10*l**2. Give m(j(s)).\nAnswer: 22960*s**2 - 1064","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 12*n**2 + 8 + 4*n**4 + 16 - 16*n + 5*n**5 - n**5 + 12*n**3. Let r(a) = a**3 + a**2 - a + 1. Let t(h) = -f(h) + 20*r(h). Factor t(v).\nAnswer: -4*(v - 1)**2*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1790207651 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 658, 2640, 5944, 10570?\nAnswer: 16518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*l + 66*l = -215326. Is 46 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((44\/(-220))\/(1\/196))\/(30\/(-75)).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3301*v + 9498. Is d(103) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/4, 0.3, 3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 0.4 (c) -345 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2362 + 2264 + (1 - -78).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 3*n + n)*(707*n**3 - n**2 - 35772*n**3 + 2*n**2 - n**2 - 7651*n**3).\nAnswer: -42716*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 43 - -530?\nAnswer: 573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 12*x - 8)*(-6 + 2 + 3)*(2 + 3 - 4)*(-2 + 1 - 2).\nAnswer: -36*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -384 = -34*n + 2*n for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 5959 (c) 5 (d) 4 (e) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4741?\nAnswer: 11, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - 4130?\nAnswer: -4124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 + 9495444*b + 7513621396428.\nAnswer: 3*(b + 1582574)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millennium in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/8 of a millimeter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, 112, 108455?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 13*x + 9*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 8988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.19 - -0.04. Let c = x - -0.55. Put -0.1, 4, c in decreasing order.\nAnswer: 4, c, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - b - 72 = -0*b, 4*b - 37 = -r. Let u be ((-15)\/6)\/(-5)*2 + 49. What is the greatest common divisor of r and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13883 less than -67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 108537941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -761*i - 947*i + 233*i - 798*i - 162*i to the form r + c*i and give c.\nAnswer: -2435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 5*f - 4*c - 4, -4*f + 31 = -5*c. Suppose 4 = -0*u + f*u. Solve -g - 2 = -u for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**2\/y)**(-3\/17)\/(y**(-1\/2))**(5\/3) assuming y is positive.\nAnswer: y**(67\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 11 = -4*m. What is the second derivative of -252*c**m + 123*c**5 + 40*c + 124*c**5 wrt c?\nAnswer: -100*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1546.987 years?\nAnswer: 18563.844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 + -31. Which is greater: -12 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16009544.\nAnswer: 2, 449, 4457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81600.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 4*n - 74 = 2*d, 2*d + 27 = -n. Let v be (-2)\/d + (-1480)\/(-28). Suppose u + 3*u - 5*w - v = 0, -5*u - w = -30. Is 4 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -225, -453, -671, -873, -1053, -1205, -1323?\nAnswer: -1401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2867)\/249429 + 3101\/(-174))*(-1)\/((-2)\/(-12))\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0283069484 to three dps.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, 8.3, 0.4, 10\/7, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*n - 6. Let d(v) be the second derivative of 0 - v**2 - 2*v - 1\/6*v**n. What is the derivative of d(u) wrt u?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 639902704 = -10*a. Let i be (-7)\/(-14) + 39414673\/(-2). Let g = i + a. What is g rounded to the nearest 1000000?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, c: 8, f: 7, v: 2}. What is prob of sequence fx?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -428 = -4*n - 4*c, -8459*n + 8375*n + 8748 = 4*c for n.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*2\/(-44)*(-26)\/(-65).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 446.1 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 707 is divided by 348\/30 + (-4)\/(60\/9).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1997.2 - -1997.2. Let f be (2*(-2 + 10))\/(-1). Let w = -7 - -12. What is the second smallest value in f, w, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -140, -279, -418?\n\"Answer: -139*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1218077 is divided by 460.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -9*j**2 + 9*j - 11. Let y(n) = -13*n**2 + 14*n - 16. What is -5*y(u) + 7*z(u)?\nAnswer: 2*u**2 - 7*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1778139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 157598 and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 6 = y. Let x(q) = y + 9*q + 2 - 5 - q**2 - 1. Let m be x(6). Calculate the highest common divisor of m and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*q**3 + 2 - 156*q**2 - 12*q**2 + 320*q**2 - 154*q**2 - 8*q**4 - 4*q to the form k*q**4 + z*q**2 + l + a*q + h*q**3 and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 9*z + 49*z - 19 - 23 + 10 + 112*z. What are the prime factors of d(6)?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1089825301 + 1089825256.8000281. Let v = -1136 + 1091.8. Let w = v - y. What is w rounded to six dps?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 36 + 12 = 0. Let q be (4\/p)\/(3\/30). Let d = -5 - q. Solve -3*n + 3*w - 9 = d, -4*n + 0*w - 2*w = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78205.\nAnswer: 5, 15641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4\/9, -87, -4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10\/23 - 196\/345. Let j = 648 - 1945\/3. Sort j, 0.4, 3, v in increasing order.\nAnswer: j, v, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 34*o - 10. Let n be m(4). Suppose n = 4*h - 306. Let p = -16 + h. List the prime factors of p.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/(-24) + 9 + -5 and (-6)\/15 - (-2516)\/(-360)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2\/2 - 1407*q\/2 - 25155.\nAnswer: -3*(q + 39)*(q + 430)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f - 7*f - 105*f**2 + 4*f.\nAnswer: -105*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 + 0.1. Suppose -5*k - 10 + 30 = -5*f, -8 = -f - 3*k. Let u be (f - -2)\/((42\/(-30))\/(-7)). Which is the biggest value? (a) t (b) u (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1095 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v**2 + 8*v - 8. Let m(s) = -s**2 - 3*s + 3. Let a(c) = 2*c**2 - 23*c + 14. Let q be a(11). What is q*z(w) + 8*m(w)?\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g - 41 = 439. Solve -3*i**2 + 3*i**2 - g*i - 2*i**2 - 310 + 288 = 0.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39759 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2112\/11459 + 166\/1637. Suppose 2\/7*l**2 - y*l**3 + 0 + 0*l = 0. Calculate l.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*j = -34 + 82 + 38 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**3 - 4*g + 1. Let c(b) = b**3 + 4*b**2 - 13*b - 42. Let n be c(-5). Determine u(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a5 (base 12) in base 15?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*z - 297950 + 319874 = -214*z for z.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 12*n - 70. Let v be z(6). What is the third derivative of -79*u**3 + 116*u**3 - 12*u**v - 4*u**2 - 18*u**2 wrt u?\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence glll when four letters picked without replacement from llllggll?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.3991089 micrometers?\nAnswer: 0.0003991089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 20 - (-2 + 6) - -13?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*r**3 - 863*r - 2*r**3 + 871*r + (10*r + 0*r - 3*r)*(4*r**2 + 0*r**2 - 3*r**2).\nAnswer: 11*r**3 + 8*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**6 - 2*a**3*t + 23*a**3*v + a**3 - 1111*a**2*t*v wrt a?\nAnswer: 240*a**3 - 12*t + 138*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27516 is divided by 412?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-2) - 4345\/(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 527694*m - 11322 = 527472*m for m.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1295 is divided by 401?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + l**2)*(-5 + 0 + 4)*(-34843*l - 36281*l + 61381*l).\nAnswer: 9743*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63454904.999838 + 63454962. Let p = w - 57. What is p rounded to five decimal places?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 123 + 325 = 10*y. Calculate the remainder when 795 is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -17. Let y be (10\/(-4))\/(n\/2). List the prime factors of (-68)\/20*y\/(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pgpg when four letters picked without replacement from {p: 5, g: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-2)*j\/j**0 assuming j is positive.\nAnswer: 1\/j","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 6*v - 1. Let f be b(5). Suppose q - f = -q. Suppose 0*u + 40 = q*u. Is 9 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25026 is divided by 139?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 4*i - 6. What is x(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a microgram in nanograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 167 + -166.8. Let s = -0.008 - 3.092. Which is smaller: s or d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 28\/(-6))*3. Are v and -14 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.06257364 and 4.\nAnswer: 0.25029456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**2\/5 + 13415644*g\/5 - 22497437991842\/5 = 0.\nAnswer: 3353911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 36*n**2 + 41*n - 23. Determine r(-37).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -10)\/((-14)\/(-392)). Let b(j) = t*j**2 - 558*j**2 + 279*j**2. Let v(d) = -d**2 + 2*d**2 + 2*d**2. Give b(v(g)).\nAnswer: 9*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4*n - 29. Let f(v) = -v - 7. Let o(r) = -9*f(r) + 2*m(r). Let a be o(-6). Let p = 0.3 + -0.6. What is the second smallest value in p, 0.4, a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -42047144012 and -9.\nAnswer: -42047144021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (4 - 16 - -3885)*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 - 2*b)*(-2*b**3 + 3*b**3 + 2*b**3) - 175*b**4 - 47*b**4 + 5*b**4 as f*b**3 + k*b + c + m*b**2 + q*b**4 and give q.\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 273375050 to the nearest integer?\nAnswer: 16534","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3076, -7041, -10874, -14509, -17880?\nAnswer: -20921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, h: 1, o: 2, k: 2, a: 1, x: 1}. Give prob of sequence cxa.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 4*d**2 + 5020*d + 44856 = 0.\nAnswer: -1246, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 9507 (b) -5\/3 (c) 2\/9 (d) -1\/6 (e) 0.1 (f) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 112*i**2*v**2 + 38*i**2*v + 9397*i**2 + 2*v**2 + 8 wrt v?\nAnswer: 224*i**2*v + 38*i**2 + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 16*a = 5*t - 13160, 0 = t - 3*a - 2622. What are the prime factors of t?\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2 = -j, 4 = 4*j + 2*m - 14. Suppose 0 = -5*p - r + 1275, j*p + 4*r + 361 = 1365. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1312.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 53232 to the power of 1\/3, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmmmmtmalapwta. What is prob of picking 1 m and 1 p?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 7*q + 3. Let b be v(7). Solve -5*y + b*s = 15, 4*s - 20 = -3*y - 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of s**4\/12 + s**3\/6 - s**2 - s. Suppose -2*c + 1 + 9 = 0. Suppose -12*d - 21 = -c*d. Determine g(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**2 + 4*b + 4. Let x(p) = 2*p**2 + 5*p + 5. Give -5*u(i) + 4*x(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/2 of a century?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 352*v = 345*v - 38, -41 = 5*n + 6*v for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -3)\/(-7 + -6 + 11). Let w(t) = t + 1. Let r(x) = -20*x**2 + 2*x + 2. What is f*r(l) - 2*w(l)?\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 - 75. Let q be 4 - m\/(-15) - (-236)\/5. Let x = -52 + q. Put x, 16, -1 in descending order.\nAnswer: 16, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 1 + 71 - t - 10 + t**2. What is the remainder when f(0) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18295.8 rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/((-2)\/(-3)) + 2. Let u = 3.54 - 3.04. Let h = -174 - -177. Sort 4\/5, p, h, u.\nAnswer: p, u, 4\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 10*j**2 - 8*j + 3. Let k be d(1). Let u(n) = 8*n**3 - 60 - 9*n**3 + 4*n**2 + 59 + k*n. Determine u(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59510 is divided by 91.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 6561.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 - 176)\/(2 - 4). What is the second derivative of 2*d**5 - 33*d + 36 + u*d - d**3 - 36 + 75*d wrt d?\nAnswer: 40*d**3 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 562184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 718 and 847110.\nAnswer: 304112490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -94 + 94. Let s be (-66)\/44*(-2 - k). Solve -b + 20 = s*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(2\/(-4)))\/(462\/(-11))?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 137 - 133. Suppose 0 = -2*f + 3 + 5. Let m(g) = 5*g - f*g + g + g. Give m(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {x: 3, w: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 2*t + 2*t)*(-1 + 0 - 2)*(-2 + 3 - 2)*(-t**2 + 3 - 3).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1217*z - 1200*z - 1394. Calculate the remainder when z is divided by 82.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/382915482 and 49\/15565670?\nAnswer: 1914577410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**5 - 8*v**4 + 21*v**3 - 22*v**2 + 8*v.\nAnswer: v*(v - 4)*(v - 2)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 5:03 AM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13955867 is divided by 290747.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 1140438 = -3*v, -4*p + 1140462 = -10*v + 13*v. Suppose -560*k + 550*k + v = 0. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52999099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Convert -370 (base 8) to base 10.\nAnswer: -248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 99111.236884 - 99111. Let w = 0.237 - r. Round w to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 60*d**2 + 482*d + 10. What is n(-8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(-24) - (-71)\/3. Let u = z + -19. Suppose -178 = -7*t + u*t. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 78, -5, 0, -7239 in decreasing order.\nAnswer: 78, 1, 0, -3, -5, -7239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9170.1852 + -8543.31. Let i = 627 - m. Round i to 2 decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3 - 1959302*k**2 - 19592870*k - 48982050.\nAnswer: -2*(k + 5)**2*(k + 979641)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 22*h**2 - 95*h + 161. What is the remainder when 185 is divided by p(16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of 0 - 6*f - 1\/2*f**2 - 1\/6*f**3. What is y(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -1 + 8*q**2 - 5*q - 2*q**3 - 17*q**2 + 4*q**2 - 4. Let w(n) = -n**3 - n**2 - n - 1. Give -10*w(b) + 2*x(b).\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 163946?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 666 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 59*a + 62*a + 5 = 0, 0 = -2*r - 2*a + 26. What is the biggest value in 45, 1\/2, r, 0.2, -2\/3?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 4 = -0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*p - 240. Suppose 2*s = -4*d + 50, -3*d = 2*d + 5*s - p. Calculate the remainder when d is divided by 2\/6 - 14\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 3, -2\/3, 1\/3, -0.75, -0.21, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1750514, -1750353, -1750192?\n\"Answer: 161*a - 1750675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -0*m + 16. Let j(q) = 3*q**2 - 7*q + 4. Let o be j(m). Let w = 0 + o. Is w a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/11, 6, -35, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**4 + 8115*h**2 + h - 18484?\nAnswer: -24*h**2 + 16230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (-4 + -8897 - (0 - 0)). What is t rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 9*v**2 + 5*v + 8. Let j(u) = 19*u**2 + 11*u + 17. Let s(q) = -13*h(q) + 6*j(q). Give s(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5855888188 to the nearest integer?\nAnswer: 76524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -10*t**3 + t. Let f be p(-1). Let s be (-513)\/(-21) + f\/(-21). Let j = s - 12. What is the greatest common divisor of j and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/5)\/(((-4)\/(-5))\/(2\/(-5)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(2\/7))**(-1\/38)*(d**(1\/4))**7 assuming d is positive.\nAnswer: d**(913\/532)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -1.1757, -2\/35, 2\/21?\nAnswer: -1.1757","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-1))\/v)**33*(v**(-7))**(13\/4) assuming v is positive.\nAnswer: v**(41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100202212010 (base 3) to base 9.\nAnswer: -3322763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 1079 = 67*p - 932, 2*o + 3*p = 92 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 548 + -547.6. Let l be (-26)\/(-14) + -1 + -1. Let j be 46\/(-8) + 2 + 27\/(-12). Which is the second smallest value? (a) k (b) l (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/51 and -1\/228?\nAnswer: 3876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tootttotttottotttto. Give prob of picking 2 t.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7993779 divided by -3.\nAnswer: -2664593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3432 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1448454730 to the nearest 100000.\nAnswer: 1448500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -227, -856, -1887, -3314, -5131, -7332, -9911?\nAnswer: -12862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -21\/2. Let f = 0.07 + -0.07. Let l = f + 1. What is the closest to l in -3, k, 1\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24773932*v**3 - 66067*v - 196 wrt v?\nAnswer: 148643592*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 488825.\nAnswer: 5, 19553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -15, t = 3*t - 5*f + 19. What is the hundreds digit of t*((-1628)\/24 - 2\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 135*m + 15 + 140*m - 273*m. What is o(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/1772034 and 29\/80547?\nAnswer: 1772034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -70 - -48. Suppose 0 = -5*h - 6 + 11. Put x, -3, h, -4 in increasing order.\nAnswer: x, -4, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i**2 + 2*i**2 + 29 + 4*i**2 - 31 - 4*i**2.\nAnswer: -3*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 216828743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55280 and 5528.\nAnswer: 55280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 99 + 26. Suppose -6*x = -7*x + 2*q - 10, -5*q = -m. Suppose -3*f + 8*f - 15 = x. Solve 0 = -5*a - 2*d + 17, 3*a = -f*d - 2*d - 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 5*w - 47 + 82 = 0, -k - 4*w = 28. Solve 2*a - 3*c + 11 = k, 4*c + 83 = 11*a + 8*c for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -248 + -27?\nAnswer: -272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 15) to base 6.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -7, -1\/8, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6098, 6103, 6112, 6125, 6142, 6163?\nAnswer: 6188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(95) - -2*(sqrt(95) + sqrt(95)*2) - (-3*(sqrt(95) + -2*sqrt(95)) - sqrt(95)))\/(sqrt(45)\/(sqrt(324)*-2 - sqrt(324))).\nAnswer: 360*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 553 and 8064.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -464214 - 4?\nAnswer: -464218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -q**4\/12 + 2*q**3\/3 + q**2. Let b(v) = 4*v - 6*v - 1 + 3*v. Calculate 3*b(d) + o(d).\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 3\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 4*k + 62. Let d = -61\/2 + k. Let b be (-10)\/15 - (-2)\/12. What is the third smallest value in b, 1\/3, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (996\/(-2739))\/((2\/(-11))\/(-1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8152288 and 10245?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 11355, 11386, 11421, 11460, 11503?\n\"Answer: 2*v**2 + 25*v + 11328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 10*m**2 - 16*m - 5. Let b be r(7). Suppose -3*l = -17 - 103. What is the greatest common factor of l and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -81108*l**3 - 33032*l**2 + 1?\nAnswer: -486648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -2*r - b, -2*b - 45 = -4183*r + 4180*r for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16920587119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 + 57 + -36 + 42.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**2\/5 + 4338*j\/5 + 4339\/5 = 0.\nAnswer: -1, 4339","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 y, and 1 t when three letters picked without replacement from ltllylllyyfllll?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/(-20))\/(2\/10). Suppose -d*p - 4 = -4*r, 4*r = 8*r + 2*p - 24. What is the greatest common factor of 36 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + p - 17. Let o be u(8). Suppose -x - 162 - o = -4*f, -3*x = -9. Let z = -29 + f. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)\/sqrt(4))\/sqrt(7) - sqrt(2)) + 3 + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 23 (c) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t - 6. Let w be o(-9). Let q(f) = -f**2. Let c(k) = -k**2. Let d(z) = -z**3 + 17*z**2 - 32*z + 26. Let g be d(15). Calculate g*c(r) + w*q(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -2. Let l = 2 - 4. What is the remainder when 1 is divided by (-2)\/(v - (-2)\/l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6055428 divided by -3027714?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2083 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 589\/314204?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 232324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3.6 (b) 3 (c) -0.039 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*6*-6*-2*(sqrt(320) - 3*sqrt(320))*3.\nAnswer: 6912*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oxx when three letters picked without replacement from {o: 5, z: 1, x: 3, c: 2, g: 1}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add 66548558 and 1.\nAnswer: 66548559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 2) + (4 - 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i**3 + 40*i**2 + 2. Let o(a) = 17*a**3 + 161*a**2 + 9. Give -9*k(n) + 2*o(n).\nAnswer: -2*n**3 - 38*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g + 2*n - 374 + 372, 1 = -4*g - 5*n for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 + 182*s - 6. Calculate c(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 1058.\nAnswer: 2116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1841028?\nAnswer: 2, 3, 7, 31, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.7467 rounded to zero dps?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -n**6\/360 - n**5\/24 - n**4\/6 + 8*n**3\/3 + 10. Let c(m) be the third derivative of h(m). Give c(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from crcccccr?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - 1.5. Let u = -32 - -31. Let p be -4 + (u - -4) + -2. What is the biggest value in j, p, 2, -1\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 12 = -d. Let v(y) = -d + 3 - 5 + 1 + 6*y. Is v(12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002435 rounded to 6 dps?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1299, -282, 685, 1578, 2373, 3046, 3573, 3930?\n\"Answer: -4*q**3 - q**2 + 1048*q - 2342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 210 and 152449640.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 4, 0 in ascending order.\nAnswer: -3, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8969 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70151 and 177.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36*f**6 - 2717849*f**3 - 32*f**2 - 769690.\nAnswer: 4320*f**3 - 16307094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2 + 4*y + 3. Let a be p(-3). Let l = a + -4. Solve 3*s - 2*s + l*b = 26, 5*s = b for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 - 6*d**3 + 38 + 5*d**3.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.3 * 8.1.\nAnswer: 10.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*b**2 - 12*b**2 - 16*b**2 + 37*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + 18\/(-15) + -2. Let m = 15.006 + -0.006. Sort i, m, 4, -1\/4 in ascending order.\nAnswer: -1\/4, i, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -81 - -55. Let g = -26.1 - d. Which is the closest to g? (a) 5 (b) 0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a09 (base 13) in base 15?\nAnswer: -3b59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1078*k - 12444 = -461*k + 15258 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2261.9634 + 2262. Round q to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: 29\/60 - 66\/165\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*m = 14*m - 5 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l - 6. Let g be b(9). Let t = -2 + g. Let a = -5 - -8. Calculate the lowest common multiple of t and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-2))\/((-14)\/(-140))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 158843 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 192 and 5.\nAnswer: 960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/45 in 41, 1\/2, 1356, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0185 and -3.5.\nAnswer: 0.06475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2979770 = 378*z - 188*z. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/(-2)*0\/10. Suppose m = -2*q + 15 - 5, s = q + m - 4. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4*n - 137 = 0, -4*w - 5*n + 19 = -3*w. What are the prime factors of w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 7*m**2 - 5*m + 8. Let l be f(-6). Factor 2*u**2 + l*u**2 + 0*u**2 + 2*u + 4*u**3 - 2*u**3.\nAnswer: 2*u*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 614.275 decades to millennia.\nAnswer: 6.14275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -654 - -3119. Is 17 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20448?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5204 + 4397. Let q(u) = -214*u**3 + 2*u**2 + 4*u + 2. Let m be q(-2). Let h = r + m. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -162443 smaller than 91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1820275064 to the nearest integer?\nAnswer: 42665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.015397143 and 91?\nAnswer: 91.015397143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 12160098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 171168979 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1635)\/(-218)*(-2)\/(-7))\/1.\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 18. Is 1 at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -43*r - 1260. Calculate g(-27).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-11 - (-3 - 2))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of 0*o**5 + 0*o**6 - 5\/8*o**4 + 13*o**2 - 4\/105*o**7 + 0*o**3 + 0 + 0*o. What is the second derivative of c(h) wrt h?\nAnswer: -96*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-30)*5)\/(1\/(-26)). Let q(h) = -34*h + 325. Let m be q(v). Do -119 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)*1*6)\/sqrt(7).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 < 1244\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3611 (base 7) to base 15\nAnswer: 5db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 817274.\nAnswer: 2, 408637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -1. Let n(b) = b - 6. Let m(w) = d(w) + n(w). Let t = -18 - -13. What is m(t)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*k - 4*h + 46, 4*h + 17 = -k. Let t = 11 + k. List the prime factors of (-118)\/(-4)*(t + 0).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -164 + 176?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -n + 2. Calculate the smallest common multiple of 120\/18 + n\/6 and 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*g**3 - 214*g**3 + 53*g + 7*g + 77*g**3 + 69*g**3.\nAnswer: g**3 + 60*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -q**3\/3 + 619*q**2\/2 + 128*q + 562. Find the first derivative of a(j) wrt j.\nAnswer: -2*j + 619","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 902*w**2 + 4*w - 3. Let t be n(2). Let f = 4725 - 7208. Let s = t + f. What is s rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-3) + 390\/117 - -9\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 8*b + 15. Let j(a) = 7*a + 14. Let u(m) = -5*j(m) + 4*k(m). Suppose 0 = h - 2*i - 21 - 11, 2*i = 0. What is the remainder when h is divided by u(-7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15955, -15908, -15861, -15814, -15767, -15720?\n\"Answer: 47*i - 16002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -738 + 928 = -38*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6620220 divided by -3.\nAnswer: 2206740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -28.943, 13\/212, -3\/4 in descending order.\nAnswer: 13\/212, -2\/13, -3\/4, -28.943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -127*a**3*g**2 + a**3*g + 2*a**3*p - 3*a**2*g**2*p**3 + 40*a**2*p**3 wrt g.\nAnswer: -254*a**3 - 6*a**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -232, 121, 710, 1535, 2596, 3893, 5426?\n\"Answer: 118*m**2 - m - 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-22))**(-3\/10)\/(w**(1\/72)*w**(22\/3)) assuming w is positive.\nAnswer: w**(-269\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -g**6\/180 - g**3\/2 - 3*g. Let z(c) be the second derivative of v(c). Let n(l) = -3*l**2. Determine z(n(y)).\nAnswer: -18*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 451673241?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 179 - 380. Suppose 3*t + 138 = 2*t. Let w = m - t. Round w to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011010000101011110001 (base 2) to base 7.\nAnswer: 34043120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3793 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*o**3 + o**3 - 181062 + o + 181015 to the form i + c*o**3 + d*o + n*o**2 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 730 + 5?\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 0.1, -4, 40, -2\/15, 1\/4, 87?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -280 + 7 + 55*a + 16*a**2 - 3*a**2 - 135. What is the tens digit of d(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*m + 2*t = -52*m - 16, 0 = -2*m + 3*t for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 3*v - 90, -12*u = -8*u - 5*v - 35. Solve -21*d + 36*d = u for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i + 165494 + 1229032 = 0. List the prime factors of i.\nAnswer: 2, 33203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 125 + (-2)\/(-3)*-6. Suppose -9*i + 5 = -t. Solve -u = -0*u + 3*z + 12, -3*u = -z - i for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1534, -1609, -1674, -1729, -1774, -1809?\nAnswer: -1834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 46.53349222 to zero decimal places.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 + 4*a - 20. Let d = 19 - 27. Let l be y(d). Is 3\/(0 + l\/316) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 65 - 24 + 6*m - 30. Let k(p) = -7*p - 8. Let u(i) = i + 1. Let y(f) = -k(f) - 6*u(f). Determine 2*l(g) - 11*y(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 130609 and 211?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7500\/45 - 10\/6. Let w = -100 + j. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1513 * 1417\nAnswer: 2143921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 21*z**2 - 282*z - 1937. Calculate w(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/3586 and 175\/3432.\nAnswer: 559416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 151264 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -1 + sqrt(1700) + (sqrt(612) - (sqrt(612) + -1 + sqrt(612) + 0)))*-6 + 2)**2.\nAnswer: 480*sqrt(17) + 9892","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o + 4*o + 75. Let f = -22 + o. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 334, 777, 1516, 2701, 4482?\nAnswer: 7009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f - 2. Let x be y(7). Suppose 7 - 3 = d. Let g(c) = -c**3 + 5*c**2 - 5*c + 5. Let q be g(d). Sort x, 0, q in increasing order.\nAnswer: 0, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 6:43 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 + (102 - 19) + -38.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 82290.33mg in tonnes?\nAnswer: 0.00008229033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 198526126 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - 14*w**2 + 10 + 239*w**2 - 4*w + 0 + 2*w to the form q + i*w**2 + g*w and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 309, 245, 155, 33, -127?\n\"Answer: -l**3 - 7*l**2 - 36*l + 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 537, 471, 387, 291, 189, 87, -9?\n\"Answer: o**3 - 15*o**2 - 28*o + 579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -3*i**2 - 86*i - 483. Determine a(-21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 219537 to the power of 1\/2, to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -775 - 4*b - 775 + 1551. Determine v(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15354811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/6)\/((-5)\/(-2625)*50).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 27 (b) 0.3 (c) -12\/49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 - 11*n**2 + n - 9. Suppose -29*c + 27*c = -5*d + 22, 0 = 4*c + 3*d + 44. Determine z(c).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*d + 9*d**3 + 8*d.\nAnswer: 9*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 1 + 1)*(t + 4 - 4) - 1 + 1 + 15*t + (3 + 3 - 5)*(-5*t - 2*t + 15*t) + 2*t + 4 - 4 in the form i + z*t and give z.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -4, -12, -5, 12, -2 in ascending order.\nAnswer: -30, -12, -5, -4, -2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12549 = -31*y + 1618. Is y a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -u**5\/120 + u**4\/12 - 2*u**3\/3 - 6*u. Let g(m) be the second derivative of i(m). Let b = 36 - 40. Calculate g(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2033 (base 5) to base 9.\nAnswer: -327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48574231 a multiple of 3754?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4\/5 - 63*z**3\/5.\nAnswer: 3*z**3*(z - 21)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 p when two letters picked without replacement from ggggggggpgpgpll.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2700) + -2*sqrt(2700) - (sqrt(972) - -1*sqrt(972)))\/(sqrt(108)\/(sqrt(108) - -2*sqrt(108))))**2.\nAnswer: 117612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*m + 91*m + 57*m - 216*m + 675 = 0 for m.\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f. Let z(p) = 10*p. Let l(t) = -8*m(t) + z(t). Let r(o) = -3105*o + 6094*o - 3065*o. Give l(r(w)).\nAnswer: -152*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 210 (base 3) to base 10\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*c = 22*c + 60. Factor 35*x**3 - 20*x**4 - 763 - 15*x**c + 763.\nAnswer: -5*x**2*(x - 1)*(4*x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1969080 is divided by 1969057.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126059 is divided by 1257.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**(-2\/5)*s*s\/(s**(-16)*s)*s*s*s*s\/(s*s**(1\/16))*s\/(s\/(s*s\/(((s\/((s\/(s**(1\/13)\/s))\/s))\/s)\/s))) assuming s is positive.\nAnswer: s**(26271\/1040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11428 and 219004.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c + -16?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25235 - 2044072\/81. Let d = -20315\/2574 + 1\/286. Find the common denominator of d and k.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, x: 1, v: 4, t: 3}. What is prob of picking 1 v and 1 t?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36924545*v + 8*v**2 + 4*v**2 - 36924545*v.\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 6*m + 47. Let p be f(-7). Solve -j + 4*j = -6, 0 = -p*l + 5*j + 15 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41365 is divided by 195.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + t = 5*t - 3, 3*t = -5*r + 6. Is r a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4541278 is divided by 2974.\nAnswer: 2954","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.92 - 3.85. Let v = -0.07 + o. Which is the third biggest value? (a) v (b) 1\/4 (c) 1\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 72 = 4*m, 3*m + 3*n - 5*n = 54. Is 3 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 12:02 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 18 + 10 = 0. Let j be 6\/21 + (-402)\/a. Suppose -3*r = -2*w + j, 0 = -6*w + w + 2*r + 78. Does 8 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 367a72a + -1?\nAnswer: 367a729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -58566622.5 rounded to the nearest one hundred thousand?\nAnswer: -58600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385*r - 12088 = 9087 for r.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 8:42 AM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3629\/10 - -363. Let k = -0.3 - -0.1. What is the second smallest value in -1\/4, x, k, 2\/13?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3377 - -0.6877. Which is the nearest to 0? (a) -0.5 (b) 2\/3 (c) g (d) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 12*y - 6. Let r be o(-6). Suppose 2*x + 0*x = 128. Let w = x + r. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -25.5 + 25. Let g = 145 - 1593\/11. Which is the nearest to -2\/5? (a) g (b) 3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z**2 + 3*z**2 + 3*z**2)*((-3 + 0 + 2)*(-1 + 0 - 1) + 1 + 0 + 1 + 0 + 0 + 6)*(-z - z + z).\nAnswer: -130*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2045069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 500770 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -994.8128 - -993. Let q = 1.48 + -3.28. Let c = q - t. What is c rounded to 3 decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 100*d**3 + 10820*d**2 - 77044*d + 132940.\nAnswer: 4*(d + 115)*(5*d - 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*w = -16, -4*d + 24 = 4*w - 0*w. Solve d = i + i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 50, 74, 116, 182, 278, 410, 584?\nAnswer: 806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1265 and 115.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-18) + 232\/72. Suppose i*j - 15 = 3. Find the second derivative of 42*k - 3 + 3 - j*k**3 - 35*k wrt k.\nAnswer: -36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -717.12 (b) 0.63 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4 + 1\/4*w**4 + 1\/4*w**2 + 6*w - 3\/2*w**3.\nAnswer: (w - 4)**2*(w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144 - (-29 - (18 - (-16 + 54 + 0))).\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*l**4 - 157*l - l**3 - 2 + 64*l - 8*l**4 + 47*l + 47*l to k*l + r + y*l**2 + m*l**3 + b*l**4 and give b.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (8 - (16 + (-16 - -8))) - (29 - 33).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 8 = -0*h. Suppose 10 = j + 4*p, 2*p + 3*p - h = 4*j. Suppose -5*o = 20 + 5. Sort 3, o, j in descending order.\nAnswer: 3, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-2 - -3)) + 48*38\/(-304)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 0*o**4 + 5\/42*o**7 + 6*o - o**3 + 0*o**2 + 0*o**6 + 0*o**5 + 0. Find the second derivative of t(n) wrt n.\nAnswer: 100*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - 6*b + 24 + 2, 5*p + 218*b - 196 = 221*b for p.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 12*a**2 - 5*a + 4. Let c be d(1). Calculate the highest common factor of 11 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mt when two letters picked without replacement from {q: 2, t: 1, m: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 121 - 118. Sort l, 5, 2 in ascending order.\nAnswer: 2, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15.8 - 14.9. Suppose -2*i + 4*i = -2*n, 1 = 4*i + 3*n. Is i < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/((n*((n*n**0)\/n)\/n)\/n))\/n)\/n)**(-1\/3)*(n*n**0*n)**(1\/6))\/((n**(1\/4))**(-2\/163))**14 assuming n is positive.\nAnswer: n**(184\/489)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -107 bigger than -359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 102724624 to the power of 1\/2, to the nearest integer?\nAnswer: 10135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -74, 0.1, -102, -2\/7, 1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -3, 214, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13973d (base 15) in base 5?\nAnswer: 220141013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert d (base 14) to base 10.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ufi when three letters picked without replacement from uuififfiiiiillii.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6950.35 + -7541. What is q rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 - c - 45. Let o be h(0). Suppose -2*l - 3*l + 5 = 0. Let j = l - o. Calculate the remainder when j is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25 - 639*z + 312*z + 327*z - 77*z**2 wrt z?\nAnswer: -154*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1373168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - g**2 - 2*g + 1. Let a be (-2)\/(70\/(-15) + 4). What is the remainder when n(a) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 p when three letters picked without replacement from {f: 4, d: 2, p: 6}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(-30)*s)*s*s*s**21)**(-2\/5) assuming s is positive.\nAnswer: s**(-104\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6*s = 30. Suppose 2*k - 3*j = -20, 2*j - 3 - 5 = 0. Let g be (6 + 1)\/(5 + -2 + k). Let l(u) = -2*u - 2. Let q(i) = 2*i + 2. What is g*l(o) + s*q(o)?\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 5*z**3 + 6*z**2 - 6*z - 1. Let p(m) = -15*m**3 - 17*m**2 + 17*m + 3. Let d = 370 - 364. Calculate d*p(s) + 17*c(s).\nAnswer: -5*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u + 1. Let a(d) = 10*d - 8. Determine a(l) + 6*m(l).\nAnswer: 4*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*j + 74 + 122. Solve -4*q + 8*q + 2*t - j = 0, 5*q + t - 16 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 6*d**2 - 8*d - 6. Let o(l) = -l + 3. Let v be o(8). Determine b(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3401 - 22?\nAnswer: 3324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 28*6\/(-24)*2\/2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 12 = -3*w, 2*g + 3*g + 20 = -5*w. Is 15 a factor of (2 + g + -12)*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 428.393ng?\nAnswer: 0.428393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one fifth of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(96)\/sqrt(3) + 4 + -1*sqrt(32).\nAnswer: -12*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 245 - 340. Let f = i - -95.000000472. Round f to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43 - 43.21. Let j = x - -0.12. Let z = 4.09 + j. What is the nearest to 2 in 3, z, 4\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 81216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 24*n - 30. What is the closest to 1\/2 in 3\/8, -0.4, n, 1\/4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 368 + -512. Does -146 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 119049 and 3696?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 572 = 4*u, u + 40 + 523 = 5*g. Suppose 47*y - 43*y = g. Suppose 2*i + 3*w - y = 0, 4*i = -w - 2*w + 68. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-6\/7))**(-4\/11) assuming j is positive.\nAnswer: j**(24\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 28745355 - 17519228 = 0. Suppose -12*m + 209464583 = n. What is m rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 + 61*z - 48. What is the remainder when 377 is divided by w(-63)?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 129*q + 10*q - 486 = 0, -1261*f = -1263*f - 5*q - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 25*m - 2. Let l(h) = -26*h + 3. Let f(y) = 5*l(y) + 6*r(y). Is f(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4397 = -5*i, -8*i + 5*i - 2906 = -2*m. Let k = m - -655. Suppose -21*o = -19*o - k. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*a + 313 = 91 - 262 - 0 for a.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02208 + 2.17492. Let j = 0.197 - t. Let q = 11 - 7. Which is the nearest to -3? (a) j (b) -1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 659 + -656. Suppose 4*f = -0 + 8. What is the nearest to -2\/7 in -0.1, f, x?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/44198179 > 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i. Let g be (-2)\/(-3)*(-6)\/4. Let z(x) = x + 1. Let a(q) = 5. Let u(d) = g*a(d) + 5*z(d). Calculate u(r(b)).\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**3 - 17616*n**2 - 229636*n - 212016 = 0. Calculate n.\nAnswer: -12, -1, 4417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the third derivative of -i**8\/420 + 2*i**7\/105 - 2*i**6\/45 - 4*i**3 - 12*i**2. Let f(m) be the first derivative of h(m). Factor f(d).\nAnswer: -4*d**2*(d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -2*t**3 - t**2 - t + 6. Let y(w) = 66*w**3 - 10*w**2 - 4*w + 17. Give -3*r(h) + y(h).\nAnswer: 72*h**3 - 7*h**2 - h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3350 and 3914810?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -213.959 minus -13.3013?\nAnswer: -200.6577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -63161 + -1\nAnswer: -63162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293*q - 112 = -265*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 6:04 PM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/456 and 93\/293170.\nAnswer: 3518040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/9*-13*18\/(-12). What is the second derivative of 15*c**4 + 24*c**4 + 5*c - 10*c - t*c wrt c?\nAnswer: 468*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of z**6\/120 - 11*z**5\/60 - z**4\/6 + 5*z**3\/2 + 216*z**2. Give k(11).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 - (-39)\/18 - (-319)\/(-330). Let j = -3 + -1. Let a = -5 - j. Is a != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 3566263\nAnswer: -3566268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -12 - (-152 - -163).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 4:12 AM?\nAnswer: 5:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in 1\/6, -2, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*j - 3*o + 27138 = 58*j, 12*j - 3*o - 65121 = 0. Calculate the greatest common factor of j and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3\/104, 0.1, -2\/3 in ascending order.\nAnswer: -2\/3, 0, 3\/104, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51.025 + -51. Let o = m - 4.025. Which is the third smallest value? (a) 0.3 (b) -6 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of u**8\/112 - 3*u**7\/70 - u**6\/4 + 44*u**2 + 2. Determine l so that v(l) = 0.\nAnswer: -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/4 of a millimeter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*a + 2*a - a)*(4 - 1 - 1)*(-a + 0*a + 0*a)*(-2 + 2 - 3)*(57*a - 91*a - 31*a) as r + b*a + c*a**3 + z*a**2 and give c.\nAnswer: -2340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 35 divided by -19\nAnswer: -35\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -543, -4412, -14907, -35340, -69023, -119268, -189387, -282692?\nAnswer: -402495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/18 and -73\/47062.\nAnswer: 423558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 4514137\nAnswer: -10\/4514137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 7*p - 5*p)*(1 - 3 - 7*p + 5*p).\nAnswer: -6*p**2 - 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wlww when four letters picked without replacement from wjjwwlhhwehllhjwulhl?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 790953 divided by 33.\nAnswer: 263651\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*p + 64*p = -1027 - 728. Calculate the smallest common multiple of p and 141.\nAnswer: 6345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 32190?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1998, 2120, 2236, 2346, 2450?\n\"Answer: -3*i**2 + 131*i + 1870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6*480\nAnswer: -2880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 418730 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*f**4 - 13\/4*f**2 + 0 - 3\/2*f - 2*f**3.\nAnswer: -f*(f + 1)**2*(f + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 208*k - 33 wrt k?\nAnswer: 208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-two fifths of a millennium in centuries?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**3 - 414*b**2 + 19044*b - 292008 = 0. Calculate b.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32223 - -30110?\nAnswer: -2113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.75333851 to zero dps.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/3)\/(11\/3). Let w be -2 + 3 + 1 - (-56)\/(-40). What is the third smallest value in w, l, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 144021 and 135237.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 10 + 0 = 2*h, 3*o - 3*h - 3 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j**3 + 9*j**3 - 22*j**2 - 151*j**2.\nAnswer: 2*j**3 - 173*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*h - 19 - 42*h + 129*h + 62 - 43*h.\nAnswer: h + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1569 - -849. Let o = x + 719.999998204. Round o to 7 decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 22210 - 3?\nAnswer: 22208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 9*c - 248. Calculate the remainder when c is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.95 + -0.05. Let j = -0.038 - -1.018. Let s = -0.02 - j. What is the closest to s in u, -4, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -5*c**3 - 2*c**2 - c + 2. Determine n(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*o**2 + 2*o**2 + 3*o**2 + (3*o - 7*o + 2*o)*(1 - 2 + 6)*(3*o - 3*o - 2*o).\nAnswer: 21*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 25223 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11.6 + 12. Which is the third biggest value? (a) z (b) 3\/4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4 + (2 - 128\/(-4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/12)\/g**(1\/3)*g**(-3\/2)*g*g**3)**48 assuming g is positive.\nAnswer: g**108","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -83521 - 290*t**2 + 84677\/2*t + 1\/2*t**3.\nAnswer: (t - 289)**2*(t - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2682*j + 2 + 2675*j + 3 + (-8 + 6 + 7)*(-4*j + 6*j - 3*j) as h*j + y and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -b8866 (base 13) in base 8?\nAnswer: -1212577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 762.997107 - 763. Round q to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1007240 and 9048260?\nAnswer: 3380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4 = 5*t - 691, -1435 = -4*l + 5*t. Solve 5*z + 350 = l for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v + 6. Give a(14).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-2 - -7) - 6 - (83 + -23 + 22).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4 = x + 3, 5*x + 20 = 0. Let g(v) = -v**2 - 3. Calculate g(t).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a millennium in centuries?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -1\/2053?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1151 is divided by 22.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34.979 - -35. Let q = o - -0.479. Which is the second biggest value? (a) 5 (b) q (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14.87 and 3.01.\nAnswer: 44.7587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9 + 13)\/(-1 + 3). Suppose t*a + 132 = 8*a. Solve -m - 4*b = m - a, -b = 4*m - 9 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.2 times 9.9\nAnswer: 11.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -388889, -777712, -1166519, -1555310?\nAnswer: -1944085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 + 0.5. Let u be 0\/(-3) + 2\/(-9). Which is the closest to 1\/4? (a) x (b) u (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/10)\/((-22)\/(-55))*14.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -307 times 19\nAnswer: -5833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-332)\/(-180) - 128\/(-640).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5\/1554 + 3083\/7770. What is the nearest to 1 in f, 0, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -r - 5814. Let n = r + -252. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2130 + -2130.1. Which is the nearest to 1? (a) -10 (b) 1\/6 (c) 10 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -845 + 863. Calculate the remainder when 33 is divided by y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -6. Sort -2, 1\/4, d.\nAnswer: -2, d, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 130334, 130371, 130408, 130445?\n\"Answer: 37*l + 130297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 12) to base 4\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1*sqrt(10)\/(1*sqrt(50)) - (3*(-1 + sqrt(45) + -4))**2).\nAnswer: -628 + 1349*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of j**7\/15120 - j**5\/180 + 133*j**4\/24 + 2*j**2 - 13*j. Let t(f) be the second derivative of z(f). Solve t(u) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 + 4 - 1) + 4. Factor 220*t**2 - 5*t**m - 60 - 20*t - 442*t**2 + 257*t**2.\nAnswer: -5*(t - 6)*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, k: 2, i: 2, d: 1}. What is prob of picking 1 d and 1 k?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -198465555 and 78.\nAnswer: -198465477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*c + 3*c + 0*c)*(2 + c**2 - 2)*(-3 - 3 + 4).\nAnswer: 32*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of -t**2\/2 - t - 1671. Let i(y) be the first derivative of -y**2\/2 - y + 2. Calculate i(q) - 2*w(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123\/11 + (-174)\/(-377)*(-1365)\/70.\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 t when two letters picked without replacement from titnitt?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -482*q**5 + 1774*q**5 - 3855*q**5 - 3*q**5 + 6*q**5 - q**5 + (-2 + 0 + 1)*(-4*q + 4*q + q**5).\nAnswer: -2562*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 39 = -15. Suppose -v + 3*v = y. Let r(a) = 5*a**3 - 9*a**2 + 9. Let l(p) = 2*p**3 - 4*p**2 + 4. Calculate v*l(i) - 4*r(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53551, 107090, 160633, 214186, 267755, 321346, 374965?\nAnswer: 428618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 8 (b) -1 (c) 57\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 10. Let s = -0.4 - 0.1. Let d = 34178 + -34175. Which is the closest to -1? (a) s (b) r (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*v + 15*v - 3*v**2 - 60*v + 11*v.\nAnswer: -3*v**2 - 20*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 11 = -4*d, 215 - 229 = -5*d + 3*l for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 8 + 0 = 0, -4*a + 60 = 4*t. Suppose -8*p - 75 = -339. Let d = p + -13. What is the remainder when d is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*r - 198 = -1496 for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1.6 times -4074\nAnswer: -6518.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-85)\/34 + 21\/2. Solve 38 = 3*w - 5*k + r, 4*k + 12 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 14227621 (base 8) in base 5?\nAnswer: 1311122231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -97024000 rounded to the nearest 1000000?\nAnswer: -97000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10\/11 - 8\/33. Which is the third biggest value? (a) k (b) -4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3172, -12609, -28338, -50359, -78672, -113277?\nAnswer: -154174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5173554436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(196) + sqrt(196)*-1)\/sqrt(4))\/sqrt(7)*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 635383.\nAnswer: 7, 12967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10880 = 3*l - f, -5*l + 5*f = 4*f + 18134. Let w = l + 36237\/10. Find the common denominator of w and 2\/(-4) - (-2)\/(-18).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-7)\/a*a**(-1\/4)*((a**(-2)*a)\/a)**(2\/37) assuming a is positive.\nAnswer: a**(-1237\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, l: 1, e: 3, y: 7}. What is prob of sequence lye?\nAnswer: 7\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 241453 <= 241535?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 3*n, n = 3*b - 0*n. Suppose 2*g - 2*d + 14 = -b*g, -2*d + 6 = 2*g. Is -3\/4 > g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k - 6. Let x be r(-8). Solve -x*i + 2 + 3 = -3*c, -3*c = 4*i + 17 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - dc6?\nAnswer: -dcc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -373 - -382. Suppose 19 + 23 = 2*h. Solve h = -p + 5*m, -p - i = -2*m - 0*m for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/(-108))\/(1\/(-3)). Let a = -372 - -405.4. Let u = a + -33. What is the smallest value in z, -2, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (11\/(11\/(-162)))\/((-6)\/3). Calculate the greatest common factor of 45 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 792372, 1584787, 2377202, 3169617, 3962032?\nAnswer: 4754447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 12*s**2 - s + 9. Let t(b) = b**3 + 11*b**2 + b - 8. Let l(a) = -7*t(a) - 6*z(a). Give l(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -239*i**2 + 115*i**2 + 122*i**2. Let q(h) be the third derivative of -29*h**4\/24 - 2*h**2. Calculate q(p(v)).\nAnswer: 58*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1590711 + 1590711 + 936*v**3 + 2*v - 2*v.\nAnswer: 936*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 2)\/(6 - 1)*-10. Find the first derivative of 13 + 5*f**3 - 10*f**3 - r*f**3 wrt f.\nAnswer: -27*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 4*k**2 - 22. Let m(i) = i**3 - 6*i**2 - 33. Calculate 5*m(j) - 8*v(j).\nAnswer: -3*j**3 + 2*j**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 4*g**4 - 104*g**3 + 100*g**2 = 0.\nAnswer: 0, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 4689 and -8902 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 152858458199 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -583652\/5*k**3 + 283484\/5*k**2 + 12192\/5*k**4 + 7220 + 50388*k - 64\/5*k**5 = 0.\nAnswer: -1\/4, 1, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -498*a + 510*a - 61296. Suppose -339 = 4*f - 3*c - a, 20 = 4*c. List the prime factors of f.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -7*w. Let r(k) = 0*k**2 + 0*k**2 - 3*k**2 + 5*k**2. Give m(r(x)).\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/(-2))\/((1127\/(-46))\/49)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p\/(p**3*p)*p*(p*p**(1\/3)*p)\/p*p*(p**(-2\/9)*p)**(-10\/3))**(-7\/3) assuming p is positive.\nAnswer: p**(49\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**3 + 2*j - 2*j + (-4 + 4 - j)*(21*j**2 + 92 - 92).\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -5*w + 2. Let u(a) = -a**2 + 5*a - 3. Let r be (-3)\/(((-9)\/(-3))\/3). Let q(h) = r*f(h) - 2*u(h). Find the second derivative of q(m) wrt m.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/21 in 250.81, -3\/2, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 160 + -132. Suppose -b*l - 32 = -32*l. Calculate the smallest common multiple of l and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -62 - -66. Let a be 16\/(-56) - z\/(-14). Let y(m) be the first derivative of -m**2\/2 + 3*m - 4. Give y(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2*q = -2614, -4*q = 5*x - 4*x - 657. What is the hundreds digit of (-4 + -10)\/(-7) + (x - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1711013627 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77890.9 minutes to milliseconds.\nAnswer: 4673454000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -74, -271, -654, -1283, -2218, -3519, -5246?\nAnswer: -7459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 3*f - 13, -f + 5 = -2*m - 2*m. Is 1 + 443 + 3 + m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lsll when four letters picked without replacement from {s: 1, l: 17}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*i**2 - 1 + 2*i**2 + 4*i**3 - 2*i**2 - 6*i**3 in the form d*i + g*i**3 + r + c*i**2 and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -7*r. Let a(q) = q - 4. Let w(p) = p - 3. Let z(j) = -3*a(j) + 4*w(j). Give b(z(u)).\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/147 - -307\/1911. Let w = 421\/5 - 85. Which is the closest to n? (a) -6 (b) w (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m**3 - 129*m**2 - 216*m - 1779. Give f(-63).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40 - -29. Let q = 15 + w. Solve 5*j + 12 = -3*i, -i - q*j = 3*i + 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2196 - -2195.4. Let t = 2 - 1. Which is bigger: j or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, n: 9, v: 1, q: 4}. What is prob of sequence wq?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y**3 + 2*y**2 + 2*y + 6. Let m be n(-4). Let o = m - -48. Is -3 - o - -1 - 2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**4\/15 - 4334*i**3\/5 - 64976*i**2\/15 - 34648*i\/5 - 51968\/15 = 0 for i.\nAnswer: -6496, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o. Suppose -3*v + 8*v = 15, 0 = 5*x + 3*v - 9. Suppose x = 3*i - 0*i - 9. Let l(s) = -4*s + 0*s + i*s. Determine -7*l(p) - 2*w(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z*z**(-1\/12))*(z\/(z*z*z**(-25)\/z)*z)\/z assuming z is positive.\nAnswer: z**(301\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 56 and 12?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7026, 6882, 6738, 6594, 6450, 6306?\n\"Answer: -144*n + 7170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-122)\/(-42) - (-18)\/189. Put 0, 1, 9, c in increasing order.\nAnswer: 0, 1, c, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 0 + (0 + 1 + 2)*(2 + 0 - 3))*(71 + 14*o - 71)*(-5*o**2 + 2*o**2 - o**2)*(-33 - 7 + 10) as c + w*o**2 + d*o**3 + z*o and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 3*v - 5. Put 8, 4, v in descending order.\nAnswer: v, 8, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23449*g**3 - 1 + 46889*g**3 - 23441*g**3 + 3*g**2 + 267*g as z*g**2 + s*g + j + b*g**3 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 149*n - 51. What is q(2)?\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 12 = -y, -8828*y + 8833*y + 4 = -4*j for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 355495071?\nAnswer: 3, 167, 313, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 487112 is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 - 35*i + 24.\nAnswer: -35*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (289 - 3) + (0 - -4) + -2. Let i = -159 + m. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 6*u**2 + 3*u + 2. Suppose -3*p = -0*p - 6. Let a be p\/(-3)*24\/(-16). Let i be a - -2*8\/4. What is x(i)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18034.103 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 832 and 520?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -163, -18, -1 in ascending order.\nAnswer: -163, -18, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 119.5 - 116.5. What is the second biggest value in 28, 3\/4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -5954173.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7685\/988 - 327\/38. Find the common denominator of (-3)\/(-3) + ((-335)\/(-60) - -2) and s.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 4*n - 116. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-15) - (-32)\/5. Suppose -n*q = -4*q. Let y(d) = -d**2 + d + 21. Let k be y(q). Solve 5*i - 3*h = -2 + k, 5*i - 23 = h for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1544*y**6 + 8591*y**2.\nAnswer: 185280*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -232 - -231. Suppose z - 1 = 3. Let c be z - (-15)\/(5\/j). What is the highest common divisor of c and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10111\/8 - (-21)\/(-14)*(-2)\/24.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(57\/(-6))\/(-19)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 173799947*v**2 + 214302444 wrt v?\nAnswer: 347599894*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*p**2 + 45*p**2 - 3*p**2)*(0 - 8 - 1 - 4 + 1 + 2 + 0 + 1 - 3 + 0 + 4 - 2 + (-2 + 0 + 1)*(-2 - 2 + 2) + 0 - 2 + 6)*(1 + 1 - 4).\nAnswer: 472*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -17*u - 17. Let i be x(-19). Let h = -3 - -6. Suppose 4*p + 3*z = 429, -h*z - i = -3*p - 0*z. Calculate the remainder when p is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 329686, 1318612, 2966822, 5274316?\n\"Answer: 329642*l**2 + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 11:43 AM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3663270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-9) - ((-17)\/3 + 3). Find the second derivative of 0*k + 10*k**b - 26*k + 128*k + 89*k + 8*k**3 wrt k.\nAnswer: 48*k + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 212829608?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-50*k - 5*k**2 + 28*k + 23*k - 1)*(-k - 5*k + 4*k) in the form j*k + r + i*k**2 + l*k**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5\/3, 4, -2, -4, -27, 433?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**4\/12 - i**3\/6 - 4*i**2. Let p be l(2). Suppose 0 = p*y - 1 - 5. Sort 1, 0, y.\nAnswer: 0, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 8:29 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 8 = 14*r - 16*r, r - 4 = 4*p. Let m(t) be the first derivative of -11 + 1\/3*t**2 - 1\/12*t**r + 0*t - 1\/9*t**3. Factor m(u).\nAnswer: -u*(u - 1)*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 2. Let c(s) = -l*s - 2 - s**2 - 2*s + 2*s. Let t(m) = m. Suppose 20 = 3*j + 5. Determine j*t(x) + c(x).\nAnswer: -x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 27071, 27070, 27069, 27068?\n\"Answer: -q + 27072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*w - 72 = 0. Let a = -9 - w. Let l be (2\/3)\/((-2)\/(-12)). Solve u - a = -5*i + l, 4*u + i = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j = -13*j + 21. Does 10 divide (-2 + j)\/((-1)\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -5*l**4\/4 - 9985*l**3 - 19999820*l**2 - 238562160*l = 0.\nAnswer: -3988, -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from qeqeeeeqqq?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2 = 5*k - 34, -2*k = 4*q - 24. Calculate the lowest common multiple of (8\/5)\/((-792)\/200 + q) and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-1))\/(10\/(-30)*6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -101 by -15544.\nAnswer: 101\/15544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/5 of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -244*i**2*m**3 - i**2*m**2 + 449*m**3 wrt i?\nAnswer: -488*i*m**3 - 2*i*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 281 (b) -0.3 (c) -4\/5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (2 + (-6 + 1 - 0)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1794382032 a multiple of 4440?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6651 is divided by 419?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -5*r + 37, -19*c + 5*r - 9 = -16*c. Let b(q) = q**2 - q + 5*q - 2*q. What is the tens digit of b(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-2\/19)\/s)\/s*s*s*s*s**(1\/8)*s**(1\/6)*s*s**(-3\/2))\/((s*s**0*s*s)**36\/((s\/(s**3\/s)*s)\/s**(-4\/7))) assuming s is positive.\nAnswer: s**(-337529\/3192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6983 - -7033. What is the greatest common divisor of u and 6350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 4*n + 3. Let z be m(-11). Suppose -4*q + 296 = 2*f, 2*f = -q - 0*f + z. What is the greatest common divisor of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 24) + 23 + (-1 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 92*c + 251. Let f(z) = 47*z + 125. Let s(i) = 2*i**3 + 33*i**2 + 15*i - 13. Let g be s(-16). Let u(t) = g*v(t) - 7*f(t). Differentiate u(b) wrt b.\nAnswer: -53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -5, -93, -2 in increasing order.\nAnswer: -93, -5, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 673218?\nAnswer: 2, 3, 7, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1235*v + 413*v + 600*v.\nAnswer: -222*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14300312 and 592.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1041 + 1077. Let m be (2 + 11\/(-5))*1. What is the closest to 1\/3 in 1, m, v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 2:02 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2 = 2*y, 0 = 3*y + 2*y + 5. Let o be 12\/(-207)*3*c\/(-2). Let i be -1 - 1 - 3*-1. Which is greater: i or o?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -220 or -195?\nAnswer: -220","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 0*j = 2*j - 6, -m + j - 4 = 0. Suppose 3*w + 3*k = 207, -5*k + 74 = w + m. Suppose -379 = -3*r + w. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4*c + 2 = 2*z, 4*z - 4 = 5*c. Suppose -4*f + a + 156 - 10 = c, 0 = -4*f - a + 142. Is 6 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -325597, -651198, -976799?\nAnswer: -1302400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42981686 a multiple of 151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 238*n - 9. Let o(q) = -238*q + 7. Let i(l) = -4*f(l) - 5*o(l). What are the prime factors of i(1)?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6432 divide 618279551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 AM and 2:59 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*u**3 + 2*u**2 - 192*u**3 + 1063*u + 192*u**3 to the form j*u + c*u**2 + q + k*u**3 and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 5*m + 52 = 21, 3*m + 7 = -4*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -946\/255 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (-3 - 0 - -5 - (-27 - -10))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-42)\/(-525))\/(1079 - 4). Is r > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53992 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of f**3 + 21*f**2\/10 + 6*f\/5 - 18. Factor b(a).\nAnswer: 3*(a + 1)*(5*a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(297)\/(2*sqrt(704) + sqrt(704)) + 3 + 3*sqrt(192) + sqrt(192) + (sqrt(60)\/sqrt(5))\/sqrt(4))**2.\nAnswer: 807*sqrt(3)\/4 + 217659\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11a + -188?\nAnswer: -6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140240 (base 5) to base 15.\nAnswer: -1a4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + b + 54, -o + 6*b - b = -6. Suppose 0 = -7*w + 15 + 6. Suppose -3*c - 2*h = -11, c - w*c - 5*h + o = 0. Solve -c*k + 2*k - 5 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 1202.\nAnswer: 2404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*p + 345 = -380 + 565 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, w: 7, n: 1, s: 3, b: 3}. Give prob of sequence sbb.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 143*z + 335*z**2 - 39*z + 95*z + 23*z - 30*z**2 wrt z?\nAnswer: 610","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16550 - 15847. What is the greatest common factor of 111 and v?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134120487 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007508766 to 6 dps.\nAnswer: 0.000751","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14694 is divided by -33 - -52 - (-135)\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/160 and 91\/100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d**3*g**2 - 25*d**3 - 84*d**2 - 569*d*g**2 + 4*g + 1 wrt g?\nAnswer: 6*d**3 - 1138*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5*k - 24. Let y be 2\/(-4) - 133\/14. What is the units digit of b(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 23554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379612763?\nAnswer: 31, 12245573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 224, 212, 186, 140, 68, -36, -178?\nAnswer: -364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 2 = 0, p + 4 = -t - 2 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + k + 2*k)*(3*k - k + k) + 2 + 0*k**2 + 3*k**2 + 0*k**2.\nAnswer: 6*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 238*b - 2. Let g be m(-1). What is the common denominator of 4 - (-5)\/(g\/(-148)) and -131\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - (3 + 0 - 6). Let b = 51 - n. Does 17 divide b + -6 + (-1 - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-87)\/(-2)*(-136)\/51. Let r = -118 - c. Is 197 + 4 - (r + -3 + 3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 (base 12) in base 5?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**5 + 0*y**5 - y**4 - y**5 + (2*y**4 - 3*y**4 - y**4)*(3*y + 0*y - y) + 2*y**5 + 2*y**3 - 2*y**3 - 6*y**5 - 3*y**2 + 3*y**2.\nAnswer: -9*y**5 - y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/159 and -105\/26?\nAnswer: 4134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 173\/1287000 and -193\/2574000.\nAnswer: 2574000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -14826548 (base 9) to base 4\nAnswer: -130032122132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*d**2 + 34*d**2 - 75*d**2.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 4*w**2 + w - 1. Let d be s(-5). Suppose -2*j - d = -571. What is the common denominator of 7\/27 and j\/(-42) + 0 + 12\/3?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in sixty-seven fifths of a minute?\nAnswer: 804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 23 = 7. Suppose 28409 = -50*y + 32858 + 38751. Suppose -i*q = -10*q + y. Does 20 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8899 - 149 = -147*b - 1339 + 2434 for b.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 23*g**2 + g - 4. Let l be d(4). Let j = l + -652. Let v = j - -471. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d**2 - 691*d + 2875. What is b(4)?\nAnswer: 175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**3\/7 + 146*g**2\/7 - 20*g - 288\/7 = 0.\nAnswer: -1, 2, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 + 5)*(1 + 60). Let t be (192\/(-40))\/((-4)\/50). Is r not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**4 - i**3 + i - 1. Let r(m) = 4*m**4 - 4*m**3 + 11*m**2 - 8*m + 3. Let s(f) = -6*c(f) - 2*r(f). Find n such that s(n) = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -15 + -2 + 7 + -2 + -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 81 or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 756 and 3591.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -163329, -163331, -163335, -163341, -163349?\nAnswer: -163359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o - 2*o - 4*o to the form l + r*o and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5\/3, 4, -1, 2\/11, -83?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.5582564 to one decimal place.\nAnswer: -7.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.43 + 0.03. Let a = -6463 + 6459. Put 0.05, k, a in descending order.\nAnswer: 0.05, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 49*m + 485. Let j be p(35). Suppose -3*z = -4*w + 15, z = w + 4*w - 5. Sort 2, w, j in ascending order.\nAnswer: j, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*k - 6*k + 4*k - 2*k**2)*(27*k**2 + 1752 - 1752) to the form l + z*k**2 + x*k**4 + i*k**3 + u*k and give i.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3123 divided by 4\nAnswer: 3123\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2760 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -6. Let i = 4 - p. List the prime factors of i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = q - 25, -2*l + q = -3*q + 12. Let c be (-1 + l)\/((-3)\/4). Let n(b) = 3*b + 1. What is n(c)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36290 = -718*o + 708*o. What are the prime factors of o?\nAnswer: 19, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q - 3. Let y(l) = 3*l**2 - 5*l - 32. Let o be y(4). Determine d(o).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of -i**3\/3 - i**2 - 2*i - 390. Calculate v(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 2*b - 10022, 0 = -11*q + 6*q - 2*b + 12530. What is the units digit of (q\/(-55))\/(6\/(-100))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20126180 divided by -1?\nAnswer: -20126180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4217130603 and -2?\nAnswer: 4217130601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 102646855 from 0.11.\nAnswer: -102646854.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250068788?\nAnswer: 2, 23, 2718139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0562 and 98.\nAnswer: 5.5076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.1 (b) -2\/17 (c) 5 (d) 0.3 (e) 0.04923\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 434, 431, 440, 467, 518, 599, 716, 875?\n\"Answer: z**3 - 10*z + 443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 191870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3612, 7114, 10620, 14130, 17644, 21162, 24684?\nAnswer: 28210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*d - 3*d**4 - 341*d**3 + 8*d - 1353*d**2 + 3*d - 23*d wrt d.\nAnswer: -72*d - 2046","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -932801*s*x + 165470*s + 11*x**3 + 136 wrt x.\nAnswer: -932801*s + 33*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4404 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -w**6\/900 + w**5\/90 - 2*w**4\/45 + 4*w**3\/45 + 4*w**2. Factor k(r).\nAnswer: -2*(r - 2)**2*(r - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-4*sqrt(1100) + sqrt(1100) + -1))**2*4.\nAnswer: 960*sqrt(11) + 158416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -766941.758 and 10.3?\nAnswer: 766952.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -6*v - 12. Let z be p(-8). Suppose f = -b - f + 4, -3*b + z = -2*f. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 978 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fffe when four letters picked without replacement from fffefefff.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -461, -1167, -1861, -2537, -3189?\nAnswer: -3811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*h, 3*s - 157 = h + 16. Put 0, -2, 0.01, s in decreasing order.\nAnswer: s, 0.01, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 135 + -105. What is the least common multiple of b and 45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1839289 divided by 1?\nAnswer: -1839289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -1. Let h = l + 2. Let z = 11 + -13. Which is the closest to h? (a) z (b) 0.2 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -107?\nAnswer: -42.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.5293906 months to decades.\nAnswer: 0.021078255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express q**2 + 2 + 2*q**4 + 3*q**3 - 1702*q + 1702*q + 2*q**2 in the form z*q + l*q**2 + s*q**4 + t*q**3 + c and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 234 (base 11) to base 12\nAnswer: 1b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 6*x + 4. Let r be b(7). Which is smaller: r or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3936*p - 3925*p = -154 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1847679, 1847645, 1847575, 1847463, 1847303, 1847089?\nAnswer: 1846815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + f. Let t be q(4). Let n(g) = -g**3 + 15*g**2 + 18*g - 24. Let s be n(16). What is the highest common factor of t and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1508 and 132.\nAnswer: 49764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -589021787 + -4?\nAnswer: -589021791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nseedeend. Give prob of picking 1 e, 1 d, and 1 n.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2446*w + 425. Let g(a) = 2471*a + 425. Let x(r) = 4*c(r) - 3*g(r). What is the derivative of x(v) wrt v?\nAnswer: 2371","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 816 = -3*v, v - 102 = 2*z + 163. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*j**5 - 1783349*j**3 + j**2 + 109707507*j?\nAnswer: 100*j**3 - 10700094*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5*x = -3*z + 460, -4*z + x + 460 = 0. List the prime factors of z.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (3\/((-120)\/(-2272)))\/((-2)\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.05 + -4.05. Let u = 7 - 7.3. Suppose -c + 14 = -8*c. What is the nearest to 2\/11 in u, v, c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 100109, 101484, 102859, 104234, 105609, 106984?\n\"Answer: 1375*u + 98734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -195371, -196148, -196925, -197702, -198479, -199256?\nAnswer: -200033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2901324467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 20 - 2 - (-4 - (4 + -12 + 1))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 23 + 0 + -3 + 4 - -63.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1502315385 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12095029 or 12095002?\nAnswer: 12095029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 + 11. Let w = -4 - x. Suppose -w = -2*b + 1. Let j(m) = m**3 + m**2. Let s(r) = -5*r**3 - 5*r**2 + 2*r. Calculate b*j(u) + s(u).\nAnswer: -2*u**3 - 2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 + u + 5. Let c be o(0). Suppose 0 = -5*x - 25, -5*x + 3 = c*r - 67. Suppose 192 + 27 = 3*t. What is the remainder when t is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 3:21 PM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 15414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 190*v**2 - 108*v - 222. Calculate m(-2).\nAnswer: 754","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04 + -1.24. Let u = 4 + -4.9. Let v = u - x. Which is the closest to 1\/4? (a) 0.4 (b) 1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1326502 * -158\nAnswer: 209587316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 2, 1\/6, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**6\/g))**(-32) assuming g is positive.\nAnswer: g**128","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -8\/15 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1746)\/1164*(-632)\/(-12)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + 2 - 10. Let t = -33 + 38. Solve -6 = t*l + 9, -p*l + 4 = 4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(6*n**2 - 4*n**2 - 3*n**2) + n**2 + 5*n**2 + n**2.\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -h + 4*m, 3*m - 22 = -3*h - m. Suppose h*p = -3*r + 19, -4*p = 8*r - 3*r - 35. Find k, given that 12 + 12*k + p*k**2 + 0 - 2*k**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**2 + g - 2*g - 25*g**3 - 3*g**2.\nAnswer: -25*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -93.\nAnswer: -4\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4768*q - 13476*q = 4952*q - 17510 - 1143590 for q.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/4*(-205540)\/(-5). Let f = 14479 + t. Let k = 1175 + f. What is k rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -6*i + 2*i**2 + i - i**2 - i + 6. Is 12 a factor of t(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -2.8. Suppose 5*c - 12 = -k, 2*c + 2*k - 6 = -2*c. Put -1, s, c in increasing order.\nAnswer: -1, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - 0) + (-6)\/2. Suppose 6 = -3*n - 0. Which is the third smallest value? (a) g (b) 0.1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117063507?\nAnswer: 3, 11, 197, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of l**3\/3 - 7*l**2\/2 - 13*l + 74. Give h(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 58*v**2. Let y(z) = 118*z. Determine w(y(q)).\nAnswer: 807592*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yqrr when four letters picked without replacement from {r: 2, y: 1, i: 1, q: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -76*r**2 - r**3 + 23*r**2 + r**3 - 110*r**4 + 6*r**4 wrt r.\nAnswer: -2496*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 + -21. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*z**5 + 217*z**3 - 330*z**2 + 22473611*z wrt z.\nAnswer: -180*z**3 + 1302*z - 660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than -108740?\nAnswer: -108740.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((80\/30)\/(1104\/(-72)))\/1.\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3 + sqrt(80) + sqrt(5).\nAnswer: -1 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 26*c**4*j - 8*c**2*j**3 + 4*j**3 - 5*j wrt c.\nAnswer: 104*c**3*j - 16*c*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-29))**(-3\/10))**(-27))**(2\/11) assuming w is positive.\nAnswer: w**(-2268\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i - 10 + 20 - 7. What is t(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68966.02 minutes to nanoseconds.\nAnswer: 4137961200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 - (-34 + 25 - 33)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-2\/7)*k)**(4\/27)*(k**3*k*k)**(28\/9))**(-18\/13))**(2\/85) assuming k is positive.\nAnswer: k**(-2368\/4641)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*n + n + f, n - 5*f - 3 = 0. Let z be 1\/5 - n\/(-10). Solve -d - 1 - 2 = z for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 16 - 20. Let u(k) be the first derivative of -4*k**2 - 3*k + 4. Calculate the remainder when u(-9) is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6715 and 13983?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -5*o + 1, 5*u - o + 8 = 3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0614926 rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5641589 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -28, -79, -172, -319?\nAnswer: -532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 6*o**2 - 5*o - 1. Let s be d(5). Let f(p) = -67*p + 30548. Let z be f(456). Suppose c = 2*c + 5. Put 5, s, z, c in descending order.\nAnswer: 5, s, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 346565267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -29 - 5 - (110 - 48 - 45)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from jqjjjqqj.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 divided by -738.\nAnswer: 16\/369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*i + 323*i**3 + 1909*i**3 - 1956*i**3 - 178 + 2128*i**3 wrt i?\nAnswer: 14424*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -612 (base 7) in base 13?\nAnswer: -1a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 6. Let j be (-1)\/2*8 + 7. Suppose -j*v - 4*t + 12 = -2*t, 0 = 4*v + 2*t - 14. What is the smallest common multiple of v and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43823 is divided by 2481.\nAnswer: 1646","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5*(4*-2*sqrt(20) + sqrt(60)\/(sqrt(9)\/sqrt(3)))\/(6*sqrt(4)*4*1))**2.\nAnswer: 6125\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2\/18*63\/14\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -497 - -506. Solve -n*c + 11*c = -6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4646513181+-40.27\nAnswer: 4646513140.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -9 + 11. Let q(j) be the first derivative of -j**4\/4 - j**3\/3 + j**2 + 1263. Calculate q(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 464 + -1833\/4. Let v(q) = -q**3 + 4*q**2 - q - 1. Let s be v(4). Calculate the common denominator of f and -3 + 2 - (-57)\/s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/(-40))\/(14 - (-1770)\/(-125))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**3 - 4503*j**2 + 38 + 5*j**3 - 38.\nAnswer: 2*j**3 - 4503*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 119, 236, 353, 470, 587?\n\"Answer: 117*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 28. Let y be t(-23). What is the highest common factor of 25 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23617 - 22654. List the prime factors of i.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-5) + 54\/(-10). Let l be -9 - 264 - 42\/r. Is l < -264?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**34)\/o**(-24))**12 assuming o is positive.\nAnswer: o**708","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 48*c + 10.\nAnswer: 48*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2246523 and 28455958?\nAnswer: 85367874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110111010010010010 (base 2) to base 8.\nAnswer: -672222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011 (base 2) in base 8?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1646700?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 162\/(-324) + (-5)\/(-2). Solve -3*q = 10 + g for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9d4b (base 16) to base 12.\nAnswer: -1b377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -171*b**2 + 31*b + 3. Let k(h) = -h**2 + 3*h + 1. Let j(a) = -5*k(a) + s(a). Find the second derivative of j(d) wrt d.\nAnswer: -332","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 1\/4, 3\/7, 2\/3, -4, 115.7, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2201209668 to the nearest integer?\nAnswer: 46917","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from npnpppnp. Give prob of sequence pn.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - c5?\nAnswer: -c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.78 - -1.88. Sort r, 0, -2\/3, 4 in ascending order.\nAnswer: -2\/3, 0, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75.8 + -70. Let u = o - 5.7. Which is the nearest to -3? (a) u (b) -3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s\/(s*s\/s**(-17\/5)))\/s)*s\/(s**(-3\/13)\/s))\/(s\/s**19)**(-28) assuming s is positive.\nAnswer: s**(-32199\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34454, -32038, -29656, -27326, -25066, -22894?\nAnswer: -20828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6182*n - 6184*n + 73714 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*-6*9\/(-108))\/(1*1\/(-1))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -623*t + 3652. Is n(0) a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*l**2 - 3 + 8 - 5 in the form o*l + h*l**2 + b and give h.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 24*n = 115. Calculate the remainder when 156 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3573 - -3633. Solve 0 = -25*b + 45*b - v for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2497 + -2571. What is the closest to 1 in 2.2, l, -3?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.05 - 0.45. Let u = -0.72 + 0.02. Let l = q - u. Which is the third smallest value? (a) 2\/13 (b) l (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -3\/4 (b) 5 (c) -0.1505 (d) 0.4 (e) 3 (f) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 216 * -0.3.\nAnswer: -64.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 76513 >= 76512?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -9*j + 70. Suppose 0 = -20*y - j*y + 205075. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1780039352 to the nearest integer?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 56*x. Let n(y) = -51*y - 38*y - 51*y + 160*y - 47*y. What is f(n(z))?\nAnswer: -1512*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 12*g**2 - 519*g + 2. Let c(q) = q**2 - 86*q. Let z(r) = 6*c(r) - s(r). Suppose 0 = -4*i - 5*n + 14, 4*i = -n - 2*n + 10. What is z(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 778041 + 207?\nAnswer: 778248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 348 = -60. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -5*v**2 - 2 + 0*v + 0 - 3*v + 0 - v**3. Let z be d(-4). Let o(c) = c**3 + 5*c**2 - 7*c - 6. Let x be o(z). Solve 0 = n - x + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-374605)\/(-2499) - 150)\/((-1)\/3).\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 3:03 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20227 is divided by 52?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (720\/(-288))\/(((-220)\/208)\/11)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 430068990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 6:53 AM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000011001 (base 2) in base 4?\nAnswer: 20121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 137*n**2 + 140*n - 539. Let t be l(136). Solve w - 13 = 2*s, -2*w + 19 = -t*s - 11 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - b - 48 = -5*v, 44 = 5*v + 2*b. Let w(a) = a**3 - 7*a**2 - 7*a - 12. What is w(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6155 + 6168. Solve -m*b + 122 = 109 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 4. Let j be q(0). Let n be (-42)\/j - (-2)\/(-4). Let p(s) = -s**3 + 9*s**2 - 8*s + 2. Let z be p(8). Solve 0 = z*x - 4*x + n for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -883 + 985. Is x a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 5) + (9 - 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 20271?\nAnswer: 141897","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1937*g + 15 + 9 + 12 - 36 to m + d*g and give d.\nAnswer: 1937","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p**2 + 24*p + 103. Let n be m(-14). Suppose 317 + n = 7*r. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 69678*u + 278721. Determine y(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3214*p**2 - 1605*p**2 - 1607*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 420 = -5*c + 9*c. Suppose 4*g - g = -c. List the prime factors of (g + 2)\/((-3)\/2).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 79*s**2 - s - 5. Let k(d) = 1. Let w(a) = f(a) + 5*k(a). List the prime factors of w(-1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-90)\/(-9)*((-21)\/(-6))\/7. Solve -19 + 3 = 2*c - 4*p, -5*c + s*p - 20 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 75463*t - 2 + 5*t**2 - 37748*t - 37735*t as b*t + k*t**2 + q and give b.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-6)\/(-8))\/(-2 - 66945\/(-33468))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0 + 2 = 0. Suppose 0 = y + 4*g - 1, -5*y = 3*g + 1 - 6. Let t = y - p. Solve t = -2*i - 2 + 10 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 2:15 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 788314*r**2 - 788314*r**2 - 7*r + 23*r**4 + (-2*r**4 + 3*r**4 + 0*r**4)*(0 + 3 - 4).\nAnswer: 22*r**4 - 7*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/3 + 3\/9. Let k = 734\/5 - 147. Which is smaller: k or m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4505088 divided by 3584.\nAnswer: 1257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-109 - 2 - -1) + 2991 + -2972 - -5.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(7) + -1 + -1)**2.\nAnswer: 6*sqrt(7) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7406876154?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28 or 5?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, y: 1, l: 2, v: 2, c: 1, z: 1}. What is prob of picking 1 z, 1 y, and 1 v?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1944538789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = -3*p - 5*x - 45, x = 3. What is the lowest common multiple of p and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 AM and 8:35 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -567\/5 + 113. Which is the nearest to 0.1? (a) 2\/5 (b) 0.5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 16*l**2 + 8*l + 18. Let g be m(-5). Let w = 741 - g. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of i*x**4 + 1444*i*x + 3*i + 50 wrt x.\nAnswer: 4*i*x**3 + 1444*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (14 - (-5 + -9 - -5)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 4 = 2*w, 6 = r + w + 1. Suppose 3*a = -a + 4*v + 20, 0 = 3*a + 4*v - r. Is 3 greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -100 + 130. Is ((-105)\/k)\/(1\/(-346)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 32136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004591628 rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 953 = c, -80*c = -2*y - 75*c + 1955. What is the greatest common factor of 260 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -24168420.\nAnswer: -1\/4833684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + -2. Is m greater than 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -12*j + 135. Solve -2 = -3*x + 2*w, x - 4*w = -5*w + j for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 0 - 1 - 8*s**2 + 2*s**2 - s**3 - 11*s. Let x = -27 + 21. Is n(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -10) + -6 + (48 + 2 - -3) + -4?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h\/h**(-2\/29)*h))\/(h*h**11*h))**(2\/121) assuming h is positive.\nAnswer: h**(-874\/3509)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17815*q - 17829*q = -3472. Calculate the remainder when q is divided by 105.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13299 and 1001?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 64636000 to the nearest one hundred thousand.\nAnswer: 64600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.72387 litres in millilitres?\nAnswer: 10723.87","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4 = -y, 40 = 5*c - 0*c + 5*y. Let r(l) = l**3 - 3*l**2 + l. Determine r(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of -k**5\/20 + 2*k**4\/3 - 2*k**3\/3 - 15*k**2\/2 - 555*k. What is x(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {p: 7, t: 1, v: 10}?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -0*f + 2*s + 46, 73 + 72 = -f - 36*s - 391 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 2*sqrt(162) - sqrt(162))**2 - 5*(sqrt(162) + -1)**2)*-6.\nAnswer: -324*sqrt(2) + 3894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 14*j = 42. Let i be (2\/j)\/((-30)\/180). Let k(g) = -g**2 - 2*g + 2. Let z(u) = -6*u**2 - 10*u + 11. What is i*z(d) + 11*k(d)?\nAnswer: d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of (-144 + 16)*(-1 + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -30*(-28)\/420*(-2)\/(-1). Solve -136*q - 22 = -139*q - d*p, -2*p + 6 = -q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -9) + (6 - 13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + -40 + 0 + -2. Let j = h - -40. Let r be 1 + (-1)\/(1\/j). Solve o - 15 = r*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 = -13*l - 2*l - 9 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**2\/17 - 22076*r\/17 + 60918722\/17 = 0 for r.\nAnswer: 5519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -101 + 25 + 11 + (-27 - -10)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3820010 = 2*h - 2*k, 0*k = -3*h - 4*k - 5729980. What is h rounded to the nearest one hundred thousand?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/57320 and -99\/20.\nAnswer: 57320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 303 - -1 - (-15 - -16)?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 73.642 + -0.142. Let f = k + -71. Are -3 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 293252748?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*f - 4*f - 1960 = 34*f for f.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - t = 5*w - 11, 5*w = 15 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 860399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 544 is divided by 160?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 8:51 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/648 and -71\/360.\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 2. Let d(n) = 2*n**2 - n - 1. Let p be d(y). Suppose 0 = 2*k + p*k - 16. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1829 = -7*w - 499. What is the greatest common divisor of w and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-62)\/93)\/(4*(-9)\/6).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 36, 24, -4, -60, -156?\n\"Answer: -2*y**3 + 4*y**2 - 10*y + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/7993?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**4 - 3*s**4 + 0*s**4)*((1 - 3 + 3)*(2 - 6 + 3) + 3 + 0 - 1).\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120000 by -25.\nAnswer: 4800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 6 = -4*d. Suppose -2 = -2*t - 4, -d*j + 29 = -2*t. Suppose y = p + 3*y + j, -2*p - y - 9 = 0. Let u(k) = -k + 3. Calculate u(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 - 11*p + 12. Let m be g(-10). Suppose 14 + m = q. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u = -3551 + 3621 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 39.9 and -6.8?\nAnswer: -271.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1045572 to the power of 1\/3, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (((-20)\/(-75))\/(4\/(-3)))\/(10\/25)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-27) - (-313)\/12. Let t = -105\/4 + f. Which is the second smallest value? (a) 4\/3 (b) 2 (c) t (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 38*h**2 + 35*h - 721. Let r be l(-35). Calculate the highest common factor of r and 273.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122232 (base 4) to base 5\nAnswer: 23320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -136179, -544712, -1225593, -2178816, -3404375, -4902264, -6672477?\nAnswer: -8715008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 14 = -2*z, 7*c - 2*c - 23 = 2*z. Sort -5, z, -2 in decreasing order.\nAnswer: -2, -5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from 234412.\nAnswer: 234416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/4))**21\/(q\/(q**(-2\/5)*q))**(44\/5))\/((q**1\/q*q*q**4)\/(q**(-2\/7))**(32\/3)) assuming q is positive.\nAnswer: q**(-35317\/2100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-20)\/130 - (-1682)\/1300 and -59\/50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2982774 and 1689?\nAnswer: 2982774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5568 and 1536?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-30)*-1)\/(33\/297).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**3 - 2*p**2 + 2. Suppose -3*i + 3 = -4*j, 3*j = -2*i - 2*i + 29. Calculate the lowest common multiple of b(-2) and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - p + 6*p = 40, 3*p - 4 = 2*a. Solve 8*q - 36 = -a for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 456144035?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*l + l = 6660. Let g = -19 + 41. What is the least common multiple of g and l?\nAnswer: 1628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -737 divided by 67.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 848858?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 126 - 125.8. What is the third smallest value in z, 0.1, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -373, -1558, -3683, -6874, -11257?\nAnswer: -16958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 1.2. What is the third biggest value in x, 1\/2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 2, 1, 6, -6 in increasing order.\nAnswer: -26, -6, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 22900 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 21. Let w be 80\/44 - d\/22. Suppose -5*i + 19 = 4, -4*i = w*q - 25400012. Round q to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23490224231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -3\/242 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 2*h - 15 = 0, h - 23383 + 23387 = i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 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 value of ((-1)\/5*2736\/(-171))\/((-5)\/25)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 209458156 to the power of 1\/2, to the nearest integer?\nAnswer: 14473","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/8 and 61\/2608.\nAnswer: 2608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = k + 152 - 162, 4*x - 9*k = -41 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -2, 5*v = -3*k + 109 - 89 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7789 is divided by 35?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 143888602?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 69955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*v**2 + 692 - 344 - 350 + 767*v**2.\nAnswer: 846*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3670, 14138, 31398, 55450, 86294, 123930?\n\"Answer: 3396*s**2 + 280*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(104) - -5*1*sqrt(104)) + (4*sqrt(104)*-2 - sqrt(104)))\/(sqrt(72)*2*-5).\nAnswer: sqrt(13)\/10 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2*p**3 - 180*p**2 - 360*p - 185. What is the remainder when y(-88) is divided by 496?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 68*t - 74 + 74 to the form a*t + u and give a.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*(((f**(-1\/12)\/f)\/f*f)\/f)\/f))\/((f\/(f*f**(-9)))\/f) assuming f is positive.\nAnswer: f**(-59\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 3*y - 10, 0 = -y - 4*f - 31 - 15 + 21 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-26) - 6088\/(-26). Suppose 4*f - g + 0*g = -321, 3*f - 3*g + w = 0. Let l = f - -121. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**4\/2 + 1464*o**3 + 976685*o**2\/2 + 38277525*o - 972679500 = 0. Calculate o.\nAnswer: -2558, -195, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/12 in 1, -2.7, -4, 0.1, 8108?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211051 + 211207 = -26*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 506109 and 7665?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 68506 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2234.\nAnswer: 2, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -t**3\/3 + 3*t**2\/2 + 6*t + 6. What is m(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(6300)*-1)\/(-1*sqrt(81) + (sqrt(36)\/sqrt(4) - sqrt(9))*-6).\nAnswer: -10*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -14*g + 12*g. Suppose 3*p = 3*b + 4983, -2*b + 962 = -g*p + 5946. Suppose -p = -2*k + 4*y, -2*k - 2*k + 3304 = -4*y. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 34*s - 49. Let l be d(2). Solve -24*j + 5 = -l for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 495.5519ml?\nAnswer: 0.4955519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*s + 260 - 824 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.2494183 and -390.\nAnswer: -390.2494183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*-2*sqrt(102) + sqrt(102)*-1*6)*5)\/(-6*((sqrt(150) - (3*(sqrt(150)*1 + sqrt(150)) + sqrt(150))) + sqrt(150))).\nAnswer: -4*sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10120121 - 11?\nAnswer: 10120110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 7895958.52 to the nearest one hundred thousand.\nAnswer: 7900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/8569500 and 113\/2500?\nAnswer: 42847500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.148 + -8.852. What is the nearest to z in -3\/2, -1\/7, -1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 243428035 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 348420019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 4*u + 14 = 0, -2*u - 1 + 3 = -5*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 - 4 - 4 - -165. Suppose -296 = -2*l - 2*n, -q = -2*l + 2*n + 139. What is the greatest common divisor of l and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2559957 or -2559956?\nAnswer: -2559957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 3. Suppose 2*h = 5 + 7. Let q be (l + 4)\/(h - 4). Solve -5*z + 5*v = 0, 4*z + 2*v - q = 5*v for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1097, 2, -47, 14 in ascending order.\nAnswer: -47, -5, 2, 14, 1097","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (-5)\/((-20)\/372). Let l = -14363\/150 + 21\/50. Which is greater: l or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31877 and 701294?\nAnswer: 701294","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Factor -3136\/3 - 1\/3*x**2 + 112\/3*x.\nAnswer: -(x - 56)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86155 is divided by 933?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335 is divided by 75?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6751.1 + 6720.163. Let i = 31 + j. Let r = -0.104 + i. Round r to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -7. What is the remainder when 8 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + n - 1336 - 555 = 0, 5*n = 4*p - 2534. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 v when three letters picked without replacement from {d: 3, v: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 390 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 552369 is divided by 276174?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 k, 1 t, and 1 a when four letters picked without replacement from {a: 1, m: 1, t: 1, k: 1, i: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -4741.0042 to the nearest integer.\nAnswer: -4741","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, i: 2, a: 1, e: 2, u: 4}. What is prob of sequence vvau?\nAnswer: 10\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a = -32*a + 64. Suppose -10 - 45*o - 40*o**3 - 37*o**2 + 45*o**3 + 15*o**4 - a*o**2 = 0. What is o?\nAnswer: -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -0.3, -2\/7, -1\/4, 15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-336)*-14)\/(2\/(-216)*-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-29 + 32 + 22\/(-4))*46. Let v be (-9)\/(-15) + 7774\/o. Is -67 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 9:46 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f - 5*p + 11, -f + 2*p = 4 - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -13, -0.4 in decreasing order.\nAnswer: 4, -0.4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 4*n**4 + 5*n**3 + 2*n**2 - 5*n. Let g(h) = -5*h**4 - 6*h**3 - 3*h**2 + 6*h. Let z(k) = -5*g(k) - 6*j(k). Find the third derivative of z(t) wrt t.\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 j when four letters picked without replacement from xxjjxjx.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {m: 8, x: 3, f: 2, h: 2, u: 5}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 640354, 1280761, 1921166, 2561569, 3201970?\nAnswer: 3842369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 2*q + 8. Let t be a(0). Solve 0 = r + r - t for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence csax when four letters picked without replacement from {b: 1, c: 5, x: 7, a: 5, u: 1, s: 1}.\nAnswer: 35\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**16\/f)*f**(1\/19))**(-2\/21) assuming f is positive.\nAnswer: f**(530\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 57, -1\/3, -0.02, 253171, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -132301311331 (base 4) in base 10?\nAnswer: -8068477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22847975971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -69*w + 11886. Calculate v(188).\nAnswer: -1086","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 2752*v - 2752*v = -5505*v - 16, -6*o + 5*v = 85 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 44 + -19. Suppose 9*t - i = 4*t, 3*t - 21 = -2*d. Let z(p) = p**3 - 2*p**2 - 2*p + 2. Let u be z(3). Solve 2*j + 20 = u*x + j, -9 = 2*x + d*j for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1003222213 (base 4) to base 11.\nAnswer: 17a263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/407 or -26\/7?\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*u + 0 + 20*u - 26*u + 2 in the form t + r*u and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2354 * -0.3\nAnswer: 706.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 392 and 205744.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, d: 5, x: 5}. What is prob of sequence ii?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -886778 + 886778 - 8*x.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (47\/282)\/((6\/63)\/((-36)\/(-357)))\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 140133?\nAnswer: -140124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -9.23. Let g = -478 - -1436\/3. Which is greater: g or o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/7 - (-2790)\/35. Suppose -30 = l - h. Calculate the highest common divisor of l and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*3\/9 - 6\/9. Suppose -5*u + j + 398 = n, 6*j - 6 = 3*j. Does 20 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-3))\/(7\/(-3)). Let q = 23 - 23. What is the closest to q in u, -1\/10, -5?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-63)\/49)\/(44\/(-77)))\/(9\/84)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 431 a factor of 421067339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -6*m - 16. Suppose -4*g + 2 = -50. Let y(p) = -3*p - 8. Let s(d) = g*y(d) - 6*o(d). Let h be s(-6). Solve 4*l + h = -l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -98*f - 585. Let o be x(-6). Suppose 10*c - 26 = 6*c - 2*p, 0 = -2*p + 6. Solve 4*k - 1 = o*k, -c*u - 5*k = 10 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 (base 13) to base 12\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117239 = 5*z - 2*u, 9414*z = 9417*z - 4*u - 70321. What are the prime factors of z?\nAnswer: 3, 7817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-2)\/16*2*(-100)\/1150.\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + b. Let i(t) = 11*t**3 - 6*t**2 + 6*t. Let v(f) = -33*f - 270. Let k be v(-8). Calculate k*n(z) + i(z).\nAnswer: 11*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -12*(-1)\/(567\/(-2016)*(-6)\/9)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f = -0*f - 206 - 199. Which is smaller: f or 84?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3199?\nAnswer: 7, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-43)\/(2924\/(-17)))\/(6\/15)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 3039 (c) 0.3 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/2 + 2)*3. Suppose -3*c - 10 = -31. Let j(n) = 3*n**2 + n**m + 6 + n**2 - c*n**2 - 4*n. What is j(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*m + 1 = 39*m, 2*o - 43 = m. Solve -12 = 34*w - o*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 1. Let x be 0 - (-3)\/(l\/(-2)). What is the units digit of (0\/(-3) + x)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*x + 19*x - 384. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 10 = -3*x. Let q(c) = -2*c**2 + 3*c - 1. Let o be q(x). Is -9\/5 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(108)\/sqrt(4))**2 + sqrt(27)).\nAnswer: -81 - 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 385 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 9:54 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 - 2 + 4*m**2 + 5*m**2)*(-m**3 - 3*m**3 + 2*m**3).\nAnswer: -20*m**5 + 4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18323.666 - 18292. What is w rounded to one decimal place?\nAnswer: 31.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -54, 826, 32 in descending order.\nAnswer: 826, 32, 1, -54","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -20963*a - 670682. Calculate t(-32).\nAnswer: 134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 10*u + 9. Let l be f(-7). Find the common denominator of (-5 - -13) + -8 - (-49)\/(-6) and ((-81)\/24)\/((-1)\/l).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 813 and -82?\nAnswer: 895","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/14656 and 133\/198?\nAnswer: 1450944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/((-5)\/((-5200)\/3)). Round w to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -14*z - 12098. Let d(o) = -5*o - 4049. Determine 4*c(l) - 11*d(l).\nAnswer: -l - 3853","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j - 910 = -j. Let l = j - 78. Is 15 + l + (0 - -483 - -2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/7 + 23964*t\/7 - 239840\/7.\nAnswer: 2*(t - 10)*(t + 11992)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/3))**(-15)\/(((h*h**1)\/h)\/h*h**(-3)) assuming h is positive.\nAnswer: h**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nrnxnrrrnrrnrrnnra. What is prob of picking 1 x and 2 r?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*r - 4, 2*r + t - 16 = -t. Let b = -861 + 874. Calculate the greatest common divisor of r and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 484\/3*g - 14\/3*g**2 - 384.\nAnswer: -2*(g - 32)*(7*g - 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/1 + (-12)\/(-2). Let r = 11 - u. Solve 0 = -0*k + 5*k - 4*c + 11, 4*k - r*c = -7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/m**(-23)*m*m)\/m)\/(m*(m**(-2\/5)*m*m)\/m))**11 assuming m is positive.\nAnswer: m**(1287\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 1 + -6 + (-68 - -6) + (-5 - -14).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10.649 + -400620500.\nAnswer: -400620510.649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 2, 0.44, -2\/17, 4 in increasing order.\nAnswer: -0.4, -2\/17, 0.44, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + 268\/(-52) + (-730277)\/(-13). Suppose -q - 5 = -0*q, f = -2*i + 5*q. What is i rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 6:55 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from {f: 2, h: 16}?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000049609502 to 6 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m. Let t(r) = -40*r**2 - r - 2. Let q(u) = -u**2 - u - 2. Suppose -7*x = -0*x - 7. Let z(k) = x*q(k) - t(k). Determine z(j(h)).\nAnswer: 351*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4840754 to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 108, 827, 2782, 6591, 12872, 22243, 35322, 52727?\n\"Answer: 103*h**3 - 2*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7951718, -7951783, -7951848, -7951913, -7951978, -7952043?\n\"Answer: -65*z - 7951653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9bc76 (base 13) to base 8\nAnswer: 1051315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -s**5 + 85*s**4 - 1730*s**3 - 4750*s**2 + 66435*s - 116487 = 0.\nAnswer: -7, 3, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.08 and 4.\nAnswer: 8.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -18\/5239723?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 u when two letters picked without replacement from gktugoq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12478 + 12491. Which is greater: -10\/7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1431 and 19875.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 49*n - 41*n - 16. Solve -5*h - 16 = 3*v, v - 2 = 4*h - n*v for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-3))\/((-2)\/(-114)). Sort -1, u, 3 in descending order.\nAnswer: u, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 8308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 31\/(0 + 0 + -1). Let z = -7922 + 7890. Is z equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*-25*1236\/30. Let n = 1312 - g. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12685 = 957*g - 3584 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*u + 74*u + 1 = 1 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + 2 + -4 + 5 - -6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 6:37 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 5:54 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 61712 and 169536.\nAnswer: 653900352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1741 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9903, -9233, -8563, -7893, -7223, -6553?\nAnswer: -5883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 13. Suppose -4*y + 5*l = -5, 0*l = -z*y - 2*l - 2. Let w(i) be the second derivative of -i**4\/12 - i**3\/6 + 3*i**2 + 2*i. Calculate w(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84816 divided by -744\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17 in -315, -1\/6, 4\/7, -1, -290?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of 0*h**4 - 20*h**2 - 11\/60*h**6 + 0 + 0*h + 1\/2*h**3 + 0*h**5. Find the first derivative of m(l) wrt l.\nAnswer: -66*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 222 a factor of 816072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cmmacfcfmc. Give prob of picking 2 m and 1 f.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -13359.873 to the nearest 100.\nAnswer: -13400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*j - 710 = -41*j. Calculate the common denominator of (52\/(-80))\/(4\/(-30)) and (56\/j)\/(-5*(-4)\/(-20)).\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b - 1. Let o(w) = 28*w + 6. Calculate 15*m(d) + 3*o(d).\nAnswer: 144*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.6 + -53.1. Let w = l - -51. What is the third biggest value in w, -1, -3.5?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in -1\/15, 1\/10, 0.044?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1941 (b) 18 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1093885823\/26010 + -174171\/578. Let m = p + -41757. What is the common denominator of m and 11\/50?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*i - 4833 + 3375 = 0 for i.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8708*w**3 - 6025708*w**2 + 1042329152*w + 27295248 = 0 for w.\nAnswer: -57\/2177, 346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i + 187. Let f be r(26). Suppose g - 2 = -0. Suppose f = 3*y - w, 0*y - g*y + 150 = 4*w. Calculate the remainder when y is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211 + 232 = -7*m. Let s be (-1)\/(50\/(-15) - m). Solve -g = s*y - 3*g + 4, -3*g = -2*y - 6 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203 + 25 = 38*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*w + 13*w + 15*w + 3*w**2 as z*w**2 + l*w + m and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 157 - 146. Let f(u) = 7*u - 4. Let h be f(2). Let z(p) = p - 5. Let w be z(h). Sort m, 2, w.\nAnswer: 2, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 2*q**3 + 6*q**2 + 15*q + 68. Determine h(-4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -150*y**2 - 3*y + 3. Let o(k) = -4*k + 32. Determine a(o(x)).\nAnswer: -2400*x**2 + 38412*x - 153693","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 26147260 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 6 + (8 - 8)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 + 11532*c**2 - 4*c - 11532.\nAnswer: 4*(c - 1)*(c + 1)*(c + 2883)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, g: 5, v: 5, h: 7, p: 1}. What is prob of picking 1 b and 1 p?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3 + 114060*v**2 + 818044128*v + 70309153008.\nAnswer: 4*(v + 87)*(v + 14214)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/6*(-25)\/(1375\/154)*(-38)\/(-19)?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 1292\/28 + -7 + (-41)\/(-7)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o + 3. Let r(n) = n - 7. Let d be r(5). Let c(i) = 10*i - 16. Suppose -3*v + 4*v + 12 = 0. Let g be 134\/v - 10\/(-60). What is d*c(w) + g*z(w)?\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 18 = 2*a + 4*b, 4*a + 2*b = 6. Solve a*t + 2 = 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a + 2*t + 50, -a + 0*a + 95*t = -71*t - 81*t - 1225 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1611549 divided by -51\nAnswer: -31599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -3*h + 135. What is the remainder when h is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.07866, 2\/9, -2, 1\/2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1315 - 1310. Suppose 4*o - 4*k = 2*o + 34, -3*k = 5*o - 72. Calculate the highest common divisor of y and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 814.939 - 815.5. Is s greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/(-70)*((-1)\/36)\/((-26)\/104).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6220735?\nAnswer: 5, 883, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (37 - -1 - 0). Let r = -41 + j. Sort 0, 2, r in ascending order.\nAnswer: r, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2279, -2624, -2955, -3266, -3551, -3804, -4019?\n\"Answer: q**3 + q**2 - 355*q - 1926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**3 - 4 + 4)*(1 - 5 + 1)*(-4*f - f + 4*f).\nAnswer: 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 215 - 209 = 0. Suppose 2*n - 29 = -5*y + 13, 0 = -3*n + d*y + 25. Let h(q) = q**2 - 12*q + 5. What is h(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -6429*y**3 + 1561*y**2 + 14*y + 7. Let b(u) = 2143*u**3 - 520*u**2 - 4*u - 2. Let k(j) = 7*b(j) + 2*w(j). Find the third derivative of k(h) wrt h.\nAnswer: 12858","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 13) in base 12?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of 4\/27*x**3 + 3*x**2 + 0 - 1\/135*x**5 + 1\/54*x**4 + 32*x. Factor v(p).\nAnswer: -4*(p - 2)*(p + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kt when two letters picked without replacement from {t: 7, k: 4}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 27 - 22b?\nAnswer: -204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 31*v + 173. Give w(-3).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1250*s - 204816 = 2019*s - 777*s + 520*s for s.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -4720.104 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -209770903 less than -1048854511\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -685.75 + 686.15. Let j = -0.1 - 1.9. Let u = -1.3 + 0.3. What is the nearest to u in -0.4, j, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (384\/144)\/(2\/4). Let c = x - 67\/12. Sort -0.2, c, 18, 5 in decreasing order.\nAnswer: 18, 5, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 396 + -222. Let x = 176 - i. Sort 8, x, 0.2, 5 in decreasing order.\nAnswer: 8, 5, x, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -988701 greater than or equal to -988697?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of a**9\/3780 + a**5\/120 - a**4\/6 - a. Let j(b) be the third derivative of l(b). Find the first derivative of j(z) wrt z.\nAnswer: 16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y + 4. Let q(i) = -i**2 - 7*i - 21. Let u be q(-9). Let c = u - -37. Let z be n(c). Solve 2*p - z = -3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 5*z = -7*z - 40, 3*h - 8 = -4*z. Let l(b) = -2*b - 11. Let q(f) = 3*f + 17. What is h*l(x) + 5*q(x)?\nAnswer: -x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 5 - 17. Suppose -152 = -n + w*s, s = -5 + 3. Suppose -13 = -q - 3*x, q - 3*x = -0*q + 19. Calculate the highest common factor of n and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3437 or 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2310851 - 20361.1.\nAnswer: 2290489.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1463*k**2*v**3 - 258674*k**2*v + 3040*k*v**3 + 413*k*v**2 - 10*v**3 wrt v.\nAnswer: 8778*k**2 + 18240*k - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 1:38 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1220\/9 or -135?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -4*l - 5. Let v(z) = z**3 - 7*z**2 + 6*z - 4. Let w be v(6). Let j = w - l. Which is the biggest value? (a) -3\/5 (b) j (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2601)\/(-153))\/(2*(27\/(-24))\/9).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/4 - 1\/2. Let p(i) = -4*i**3 + i**2 - 1. Suppose -4*q = 3*q - 35. Let n(j) = -9*j**3 + 3*j**2 - 3. Calculate c*n(x) + q*p(x).\nAnswer: -2*x**3 - x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 - 302*g - 1208. Determine p(-4).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 108 = -5*o, 3*o - g + 18 = 80. What is the second derivative of o*x - 18*x**3 + 13*x - 11*x wrt x?\nAnswer: -108*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -53*t**6\/15 + t**5\/15 + t**4\/24 + 2*t**3\/3 + t**2 - 13*t. Let a be o(-3). Suppose 1690 - a = -5*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35379047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -737638 - -447714. Let i = 129924 + s. Round i to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -104000 to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -34, -65, -106, -157, -218, -289?\nAnswer: -370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119 + 152*a**3 - 27 - 4 - 81 - 7.\nAnswer: 152*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20185 and 121330?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 9) to base 7\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 5:07 PM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.22 and -1567?\nAnswer: -344.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) - ((2*sqrt(121) - sqrt(121)) + sqrt(121)))\/sqrt(11) + sqrt(55)\/(sqrt(20)\/sqrt(4)))*-4 - 4*((sqrt(11) - sqrt(1584)*2)*-1)**2.\nAnswer: -23276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 2237\nAnswer: 3\/2237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (1 - 4 - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (313200\/42282)\/(2\/(-3))\nAnswer: -100\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13204069 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 q when four letters picked without replacement from {e: 7, q: 5}?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 9*b = -36, -b + 152 = 3*g + 156 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000067499 to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -3*t, 397*d + 408*d - 5*t + 65 = 800*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1067*q**5 + 106*q**3 - 327038354*q?\nAnswer: -21340*q**3 + 636*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -2*h**2 + 11*h - 12. Let a = -169 + 176. Let x be c(a). Is x bigger than -34?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 18 = 3*s - 0*s, -3*s + 21 = -5*l. Suppose -3*n + 703 = -s*t, 0 = -2*n - 2*n - t + 930. List the prime factors of n.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5790*a**3 + 391*a**2*h**3 - 4478*a*h**3 - 22*a - 9 wrt a.\nAnswer: -34740*a + 782*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.7 + 6. Let y be (8 + -11)*8\/(-6). What is the closest to 1\/6 in x, y, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zdwzw. What is prob of picking 1 d and 1 w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -179 + 181. What is the remainder when 4 is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -323 + 463. Let i = n + -130. Suppose 5*j - 4 - 6 = 0. Which is smaller: j or i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x + 6. Let i be y(-4). Suppose 12*q = i*q + 30. Sort 8, q, 2.\nAnswer: q, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 - -26.31. Let p = u + -19.31. Let r = 26.8 + p. Round r to 0 decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2073798875?\nAnswer: 5, 127, 130633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 144 and 126024.\nAnswer: 756144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 j when two letters picked without replacement from {n: 1, b: 5, w: 1, j: 4}.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5037?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.308861 weeks to nanoseconds.\nAnswer: 2001199132800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -16*s + 5. Let a(d) = 9*d - 3. Let w(y) = 5*a(y) + 3*q(y). Suppose -2*l + 8 = -6*l. What is w(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25 - 64656*w + 17 + 8 + 17698*w)*(2*w - 1 + 1) to c*w**2 + t*w + z and give c.\nAnswer: -93916","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 5*r**2 - 5*r - 3. Suppose 3*q = -2*w, -w + 6*q - 11 = 2*q. Calculate a(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -8 - (18 - -1 - 8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -237 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 2*s + 14 = 5*j, -3*s = 3*j - 21. Let m(c) = -2*c + 1. Let h be m(2). Let i(a) = a**3 - 2*a + 1. Let p be i(2). Put h, j, p in descending order.\nAnswer: p, j, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 8*w**2 + 261*w - 6. Let m(o) = o**3 + 7*o**2 + 259*o - 5. Give 5*b(v) - 6*m(v).\nAnswer: -v**3 - 2*v**2 - 249*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - w - 6 = 4*d, -w = 5*d - 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (18\/8)\/((-18)\/96). Calculate the remainder when (o\/(-3) - 3)*29 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64\/3 - -439\/21. Which is the second smallest value? (a) -0.5 (b) 0.1 (c) g (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**0*w))**26*w\/w**8*w\/(w\/(w**2\/w)) assuming w is positive.\nAnswer: w**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 78*n + 1399. Let t be c(-20). Is -159 at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 10:49 AM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - 3331?\nAnswer: -3342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5128, 5336, 5558, 5794, 6044, 6308?\n\"Answer: 7*d**2 + 187*d + 4934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of 16*o + 0*o**3 + 0*o**2 - 1\/12*o**4 + 0. Let z(m) = -43*m. What is z(w(u))?\nAnswer: 43*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57 and 1919?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u**5 + 2223*u**4 + 187461*u**3 + 3593316*u**2 + 8379648*u - 2322432 = 0.\nAnswer: -32, -3, 1\/4, 252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 135828822 a multiple of 1898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -56 and 340.\nAnswer: -19040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 79\/3378 - -14209\/126675. Calculate the common denominator of 29\/40 and q.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**4*n*(n\/n**(-1\/9))\/n assuming n is positive.\nAnswer: n**(46\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 83304 and 120328.\nAnswer: 1082952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 6481\/6, 3, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -11*n + 1. Let t be y(-1). Let g = 34 + 3. Suppose -g = -3*w + 2*h + 23, 5*w - 3*h = 99. What is the greatest common factor of t and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -9 + 13 + (6 - (27 - -1))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 612 and 2601.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*g**4 - 9745*g**2*h**3 - 4*g*h**3 - 7*g*h**2 - g - 98*h**3 wrt g.\nAnswer: -228*g**2 - 19490*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69 and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 4) to base 14.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1220 - -1223. Which is the nearest to 16? (a) -1\/2 (b) i (c) -3 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1339*r**3 + 1115*r**3 - 352*r**3 - 436*r**3.\nAnswer: 1666*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49\/(-21)*(-54)\/2 is divided by 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*f - 59. Let x = 336 + -326. What is the least common multiple of f and x?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -3563269?\nAnswer: -4\/3563269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -572 - 1090*i**3 - 52*i**3 + 177*i**3 + 571 in the form x + q*i**2 + w*i + u*i**3 and give u.\nAnswer: -965","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135215.\nAnswer: 5, 27043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 22\/33 - 5877110\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -5*k + 52, -2*i + 44 = k - 3*k. What is the highest common divisor of i and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**4\/4 - 3*j**3 + 9*j**2\/4 + 3*j - 3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 + 11. Let h = z + 9. Suppose -2*m + 4*w = -h*w - 8, 0 = m + 3*w - 14. Does 8 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -649\/53, -5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -126, -251, -418?\nAnswer: -627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 7*j - 15. Suppose 3*f - g - 2*g = 51, 0 = j*f - 2*g - 52. What is the greatest common factor of 2 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q + 4*q = -10*k + 23 + 37, 0*q + 15 = 5*q for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.4, 2\/3, -11.3, 1\/4.\nAnswer: -11.3, 1\/4, 0.4, 2\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-7)*d)\/d**(-5)*(d*d\/(d*d**(-4)))\/d*d**(-5\/2) assuming d is positive.\nAnswer: d**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 109075?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 16) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -123.\nAnswer: -492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5*b**2 - 5*b. Let l(v) = -v**2 - 3*v + 2. Let c(z) = z**2 + z - 1. Let j(u) = 2*c(u) + l(u). Give 4*j(x) - y(x).\nAnswer: -x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - n - 3*n + (5*n - 4*n + 4*n)*(-1 - 2 + 4) + 2*n + 0*n - 4*n)*(0 - 1 + 2).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -245, -100, -1, -35, 5 in decreasing order.\nAnswer: 5, -1, -35, -100, -245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, c: 1, g: 6, m: 6}. Give prob of picking 1 c and 1 g.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {f: 4, b: 7, o: 7}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -0*t + 141. Suppose 3*u - 10 = t. Suppose -4*m + 21 = -u. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*c + 113 + 85 + 14 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -279*s**2. Let u(r) = r. Give u(f(h)).\nAnswer: -279*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*s**2 - 15*s**2 - 5*s**2 + 8*s**2)*(0 + 3*s + 0).\nAnswer: -144*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*f + 4099980 = 0, 2*f = n + 3*f - 4099996. What is n rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333*m = 55*m - 480*m + 3678 + 2386 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -18. Suppose 26 = 4*f - k. Determine b so that -17*b**3 - 3 - 21*b**2 - b**4 - 4*b**4 + 1 - f*b = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*c + 7192 = 5*c. Is 16 + c + -2*(-3)\/(-6) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13014 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1336, -2664, -3992, -5320?\n\"Answer: -1328*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48 - 47.6. Put -0.4, b, -1\/10 in ascending order.\nAnswer: -0.4, -1\/10, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2174 and 2175 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1344210 and 66778.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*d*i**2*l + 1497*d*l**3 + 3*d*l**2 + 1837*d*l - 1954*i**2*l**3 - 20*i*l wrt l.\nAnswer: 8982*d*l + 6*d - 11724*i**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - a - 5*a + a)*(a - 11*a + 3*a).\nAnswer: 35*a**2 - 14*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/5, -5, 0.2, -12220\/3.\nAnswer: -12220\/3, -5, 0.2, 8\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 631.3 to the nearest 10.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 460007 and 70757?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32853*l**2 + 11246*l**2 + 10340*l**2 + 11268*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23.9396 - -0.1604. Let p = -21.1 + r. Let v = -3 + 2. What is the biggest value in v, 1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -9*s**3 - 4*s**2 - 5*s + 4. Let y be (-12)\/(-8)*(-66)\/(-9). Let g = y + -6. Let z(a) = 5*a**3 + 2*a**2 + 3*a - 2. Give g*z(l) + 3*o(l).\nAnswer: -2*l**3 - 2*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 102 and -494665126.92?\nAnswer: 494665228.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a4fbe0 - 5?\nAnswer: 1a4fbdb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6212, -12443, -18676, -24911?\n\"Answer: -b**2 - 6228*b + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 4*p**2 + 3*p - 4. What is x(-4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 1:52 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 + -8. Suppose -7 = 4*z - 15. Let r(c) = -2 - 2*c - 2 - c**z + 6*c. What is r(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*c + m - 8, -3*c + 2*m = -4. Solve -16 = -4*h + 3*o, -c*h - 4*o = -o - 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9355144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -341 - 167 + 25*a - 24*a - 3 as f + z*a and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**15\/w)\/((w\/w**(-20))\/w)*(w**(-4)\/w)\/w*w*w*w*((w*w\/(w*w*w\/(w\/w**9)*w))\/w)\/w assuming w is positive.\nAnswer: w**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(3\/11)\/(s**(-4\/9)*s))**(-48))**(-2\/49) assuming s is positive.\nAnswer: s**(-128\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4748153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of 3025*r**4\/12 + 296*r**2 - 5986*r. What is the derivative of j(m) wrt m?\nAnswer: 6050*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35 and 1670?\nAnswer: 11690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + sqrt(5) + 3) - (sqrt(35)\/(sqrt(847) - sqrt(847)*2))**2.\nAnswer: 4*sqrt(5) + 2899\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/3, 197\/3, -0.4, -6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y*y**(-1)*y))**(-40))**(8\/15)\/((y\/y**(2\/9))\/((y*y**(-1\/3))\/y)*y\/(y\/(y**6\/y)*y)*y\/(y*y\/(y\/(y\/((y\/(y**(-6)\/y))\/y*y)*y)))) assuming y is positive.\nAnswer: y**(-292\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2*o - 6 = -o, o + 2 = -t. Let i = t + -2. Suppose s - 3*p - 1 = i, 0 = -5*s - 4*p + 19 + 5. Solve s*y - 2*v + 1 = 3, 3*y = 2*v for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36365939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 2:57 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, 3\/5, 0 in descending order.\nAnswer: 42, 3\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -28560*u - 1085132. Determine g(-38).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -0.2 (c) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 795 - 802. Sort 10, 4, u.\nAnswer: u, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 5*v**3 + 164575*v**2 + 9861000*v + 147847500 = 0?\nAnswer: -32855, -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**2\/5 - 26826*v\/5 - 26829\/5 = 0. Calculate v.\nAnswer: -1, 8943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 600 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 - 242. Let k be (-4)\/10 + c\/(-20). List the prime factors of 33*(2 + k\/(-6)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5992 - 0?\nAnswer: 5992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**2*j**2 - 5*a**2*j - 2*a**2 + 46*a*j**5 - 48*j**2 - 522*j wrt j.\nAnswer: -2*a**2 + 920*a*j**3 - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1397197.67 rounded to the nearest 100?\nAnswer: -1397200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3d8 + -af?\nAnswer: -487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-184)\/138 - (-7)\/6\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8921524179.\nAnswer: 3, 983, 3025271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) 0.1 (b) -1\/6 (c) -4 (d) -82 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lrlr when four letters picked without replacement from lrlllllrlllll.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 5*i - 749 + 777, -4*i = -3*d + 27 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 0*i + 20, 0 = 4*f - 4*i - 808. Suppose -163 = -5*b + f. Suppose b = 2*s + 2*s. What is the greatest common factor of 54 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1522 - -1?\nAnswer: 1523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 449270095 to the nearest integer?\nAnswer: 21196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 37*p**2 + 60*p + 16. Give y(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -135 or -674\/5?\nAnswer: -135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*b + 85*b = -96 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -7641900?\nAnswer: -76418a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 0*m - 31 + 28 = v - 104, m = -21 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145911.\nAnswer: 3, 17, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 2*x**3\/3 + x**2 - 45. Solve j(v) = 0 for v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 309491.\nAnswer: 7, 13, 19, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 4*x = -3*s + 12, -4 = -4*x. Suppose -y + s = -2*m, -3*y + 12 = m - 0*y. Which is smaller: m or -1\/134?\nAnswer: -1\/134","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 6*y**2 - 2*y - 6. Calculate a(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63 - -160) + -211 - (-1 + 58)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -662, 1, -5, 6 in ascending order.\nAnswer: -662, -5, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-56)\/(-224))\/(1*1\/4))\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 345*r - 242*r - 1965045 - 1230736. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 71958, 290087, 653634, 1162599, 1816982, 2616783, 3562002?\n\"Answer: 72709*s**2 + 2*s - 753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 407\/30 + -85\/6. Let o = -5 - -3. Is o less than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98, -120, -142?\nAnswer: -164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h*h*h\/(h*h**1)))**(-1\/44)\/(h**5\/(h*h*h**(-4)\/h))*h**(2\/7)*h**5*(h*h**(-1)*h)\/h*h\/(h*h**(-2\/11)) assuming h is positive.\nAnswer: h**(-773\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6801.\nAnswer: 3, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3847, -3867, -3887, -3907?\nAnswer: -3927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22)\/(-8) - (-2)\/8. Let n(x) be the second derivative of 33*x**4\/4 + x**3\/2 + x**2\/2 - 74*x. Is n(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2*1\/(-6))\/((-5394)\/8091))\/(5\/860).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 9*c**3 - 84*c**2 - 93*c = 0.\nAnswer: -1, 0, 31\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**4\/5 - 19*m**3\/5 - 11*m**2\/5 + 4*m\/5.\nAnswer: -m*(m + 1)*(m + 4)*(4*m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -221, -208, -195, -182, -169?\n\"Answer: 13*q - 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 3*v + 119 = -z, -3*z = 3*v + 57. Let j = z + 27. Suppose j*i = 137 + 258. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c + 2. Let p be s(1). Factor y**2 + p + 3*y**2 - y + 3*y - 3*y**2.\nAnswer: (y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4316251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1287886990 by 5.\nAnswer: -257577398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-8) - 7\/(-14). Let j = 0.1 + 0.3. Let b = j - 0.5. What is the closest to 0 in g, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 285 and 171.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(190) - sqrt(190)*-2)\/sqrt(10) - 5*sqrt(475)) + (1*sqrt(209) - sqrt(209))\/sqrt(11) + 5)*-6*4)**2.\nAnswer: -126720*sqrt(19) + 5311296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -867 in -9, 3, 941?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123\/(2\/(-5) + (-38)\/(-20))?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 9*c - 5, 0 = 5*h - 3*c + 12. Let a be (-24)\/(-10) + 16\/(-40). Put a, -1, h in increasing order.\nAnswer: h, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.5 + 1.7. Sort t, -2\/5, -1\/2 in descending order.\nAnswer: t, -2\/5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-259)\/17 + 3336\/14178?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 127, 251, 377, 505, 635, 767?\nAnswer: 901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -177, -425, -683, -957, -1253, -1577, -1935, -2333?\nAnswer: -2777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 0.1 (c) 6.8 (d) -23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 809965.8 hours in days?\nAnswer: 33748.575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4 - 54\/(-15))*-5. Suppose -b*i = -t - 6*i + 7, -5*t = 5*i + 25. Let g = t - -17. Calculate the remainder when 13 is divided by g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-7\/9))**13*(w*w**18)**17 assuming w is positive.\nAnswer: w**(2816\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12419203 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -222, -130, 18, 222, 482, 798?\nAnswer: 1170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 0.83.\nAnswer: -0.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48777923 and 639?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 394002571*c**2 - 257524*c - 410?\nAnswer: 788005142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 4:00 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, j: 5}. Give prob of picking 2 f.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -403286 + 7*a + 806571 - 403285.\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 217939905 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1.1, 4, 0.06, -4 in descending order.\nAnswer: 4, 2, 1.1, 0.06, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 10:27 AM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-121)\/(73810\/(-13664))*(-5)\/4\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 13. Let l(a) = -5*a**g + 0*a**2 + 9*a**2. Let x(u) = -9*u**2 + 2*u**2 - 7*u**2 + 2*u**2 + u**2. Determine x(l(c)).\nAnswer: -176*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j\/((j\/(j*j\/(j**(-4)*j)))\/j))\/j*j)\/((j*(j\/(j*j*j**(-1\/8)*j))\/j)\/j)*(j**(-5)\/j*j)\/j**2 assuming j is positive.\nAnswer: j**(23\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**3 + 45022*f**2 - 45022*f**2.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 4*n**4 - 2679244*n**3 + 5358456*n**2 + 10716976*n - 21433888 = 0.\nAnswer: -2, 2, 669809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -36*s**2 - 2*s. Let o(g) = 4*g. What is v(o(m))?\nAnswer: -576*m**2 - 8*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70093453?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-35))\/(-12*4\/(-64))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/7462 and -61\/4797?\nAnswer: 67158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*m + 2*x, m + x - 30 = -33 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c - 2. Let d be u(-2). Suppose -m = -2*t - 3 + 16, d*t - 4*m - 28 = 0. Let q be (2\/t)\/(1\/(-2)). Put -2, 1, q in increasing order.\nAnswer: -2, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*6*(-5 + (sqrt(320) + 2)**2*6 + -4).\nAnswer: -34830 - 3456*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 435149.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -28*f*o**3*t**2 + f*o*t**2 - f*o*t - o**3 - 3*o**2 + o*t**2 wrt f?\nAnswer: -28*o**3*t**2 + o*t**2 - o*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -1. Let d(c) = c - 1. Let b(u) = 4*u - 2. Let n(a) = l*b(a) + 2*d(a). Let k(r) = -8*r. Calculate n(k(j)).\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -3347864.\nAnswer: -5\/3347864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + k + 5. Let t be c(-2). Suppose -5*n = -3*g - 8 + t, 5*g - 3*n - 5 = 0. Are -148 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34 and 232.\nAnswer: 3944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4 + -5 + sqrt(1573)*2)**2.\nAnswer: -396*sqrt(13) + 6372","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: fb (base 16) to base 9\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191 = -5*z - q, z - 27 = -2*q - q. Is 5 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1400 and 300?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -617*f**2\/4 - 272270*f - 132375\/4 = 0. What is f?\nAnswer: -1765, -75\/617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2 = 2*r. Let o(t) = -t**2 + t - 1. Let f(p) = -6*p**2 + 9*p - 11. Let z(b) = r*f(b) + 5*o(b). List the prime factors of z(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/2)\/(12\/(-18)). Let x = -2 + 3. Is x less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 125367, 1 in descending order.\nAnswer: 125367, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*g**2 - g**3 + 0*g**2)*(-282*g + 24887 - 24887) to the form b*g**4 + a*g**2 + h + m*g**3 + x*g and give b.\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1507 and 1386\/616*(-4)\/(-18)*(821 - -1).\nAnswer: 4521","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2012\/(1\/((-4)\/(-8))). Suppose 3*b - 4*b - 2*m + i = 0, 5036 = 5*b + 4*m. Suppose b = 7*c + 2*c. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 486*m = 482*m + 20, -5*w = 2*m + 10. Put 0, -5, w, -67 in decreasing order.\nAnswer: 0, w, -5, -67","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**(-7)*v)\/v*v**2)\/((v**6*v)\/(v*v\/(v*v**6)))*((v**(-10)\/v)\/(v\/v**(1\/9)))**(-3\/7) assuming v is positive.\nAnswer: v**(86\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47861 and 209?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1601 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*w = -17*w - 15*w + 672 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26858 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27.4 - 19. What is s rounded to zero dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*n**2 + 0*n**2 - 19*n**2 - 24*n**2 to the form x + o*n + l*n**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/7 - 54*l**2\/7 - 16*l.\nAnswer: l*(l - 56)*(l + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, f: 4, a: 7}. What is prob of picking 1 a and 2 c?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 less than -150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-19)*o\/(o\/(o\/o**(10\/9)))*(o\/((o**(-35)*o)\/o))\/(o**16\/o*o) assuming o is positive.\nAnswer: o**(8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4311 + 4839. What is the lowest common multiple of n and 99?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0872 to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 10:24 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 65*w - 68. What is the remainder when v(4) is divided by 96?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93140?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of v**4\/24 - v**3\/2 - 29*v**2 + 2*v. What is s(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311 is divided by 53?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, x: 1}. Give prob of sequence zxzz.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*k**4 + 0*k**3 - 8670 + 3*k**2 + 6*k**3 + 8653 + 0*k**3 + k wrt k.\nAnswer: -372*k**2 + 36*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p = 3*b - 11*p - 8, -2*p = -2*b + 4. Suppose b*o + 0*o = 144. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12834 is divided by 279?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/13)\/((22 + 24)\/46)?\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 2, -2, 0, 0.26?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2 - 1\/4*k + 1\/4*k**2.\nAnswer: (k - 2)*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a millimeter in nanometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 1*(12\/4 - -19)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.012 * 19\nAnswer: 0.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1151758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27826 - 27820. Let l(v) be the third derivative of -1\/120*v**m + 0*v**4 + 13*v**2 + 0 + 2\/3*v**3 - 1\/20*v**5 + 0*v. Factor l(r).\nAnswer: -(r - 1)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2430 divided by 270\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/2)\/(5\/10). Suppose -3*d - 5990 = -2*a, 5985 = -h*d + 2*a + a. Round d to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {d: 3, f: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**2 - 24*i - 2. What is d(-6)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -6, -5 in decreasing order.\nAnswer: 14, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/5 (b) -31 (c) 427\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -3*k + o + 12, 0 = -2*o - 6. Let r be (0 + 3)*k\/9. Let p = 1 - r. What is the second smallest value in p, -2\/9, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 3:15 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 137\/3 - 46. Let x be -2*2*(-2)\/40. Let l be 1 + -1 - (-12)\/20. Which is the closest to m? (a) l (b) x (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/5, 1355, -2, 29, 11\/13?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 1 - 9, -3*q - 60 = -4*u. Suppose 4*f - 46 = -5*b + u, 4*f = 4*b - 32. Let c = 55 - 25. What is the highest common divisor of c and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21632 + 432739\/20. Find the common denominator of t and -37\/9138.\nAnswer: 91380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00049549 to five decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 606299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-2)\/(-11) + (-24346966)\/(-2387)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 451138 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 119988794 to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3925 - -3927. What is the closest to a in -2, 19, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45004214 + 15.866?\nAnswer: -45004198.134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000552708938 rounded to six decimal places?\nAnswer: -0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f + 2. Let i be u(-2). Suppose i*x - 42 = -2. Calculate the greatest common factor of 15 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 8 = -3*c + 31, 0 = -5*c + 2*i + 13 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1748827 - 6?\nAnswer: 1748821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 7:02 AM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, -1\/4, 3\/2, 19, -22 in descending order.\nAnswer: 19, 3\/2, 3\/7, -1\/4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -9*r**2 - 17*r - 3. Let w(m) = -3*m**2 - 6*m - 1. Calculate -6*k(a) + 17*w(a).\nAnswer: 3*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -65 + 78. Let x(j) = -j**2 + 10*j. Let a be x(y). Let u be a\/(-6) - 3\/(2*3). Solve u = -4*i + 14 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -908 + 1371. What are the prime factors of o?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 12158099\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/3, 4, 0.44 in descending order.\nAnswer: 4, 2, 2\/3, 0.44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 34*m**2 + 0 + 3.\nAnswer: -34*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2\/10)\/(228\/(-24225)) and (-182)\/24*2 + -2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -161 + 88. Let t = -53 - n. Let i be (3 + (-40)\/12)*-15. Solve 2*c - 8 = 2*j, -4*c + 2*c + i*j + t = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -3\/4 (c) 3 (d) -96 (e) -0.3 (f) -49\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 613 - 122 = 0. Is z a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and -0.058?\nAnswer: -0.522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 14\/3, 5\/6, 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -4*p + 15724 + 5045, 2*p - 10389 = s. Is p a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 5 + 3 + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -15*n - 1. Calculate s(2).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -187.9 + 1417.6. Let q = -553 + g. What is q rounded to the nearest ten?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4236*q**2 + 14*q - 45. What is the thousands digit of d(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -38 + 39. Let n be 70 - 3\/(-2 - h\/(-2)). Calculate the greatest common factor of n and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*y + 6*y - 56 + 3*y as w*y + i and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by 43?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*d**3 + 23*d**2 + 99*d**3 - 44*d**3 + 3*d**4 + 3*d to the form c*d**3 + t*d + i + l*d**2 + p*d**4 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0 - 20 = 0. Let k be (3 - j - 1) + 1*2. Are -3\/14 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qnn when three letters picked without replacement from {d: 3, g: 1, q: 3, v: 1, n: 3, l: 4}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -50 (b) 4\/3 (c) 1\/6 (d) -0.75 (e) 6 (f) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -6c?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*g + 5*w, 0 = -g + 4*w - 2 - 12. What is the third derivative of -5*t**2 + 101*t**5 - 33*t**g + 5*t**5 + 27*t**5 + 3 + 40*t**5 wrt t?\nAnswer: 10380*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -1\/6*q**4 + q + 5\/6*q**3 - 1\/10*q**5 + 2*q**2 + 0. Is 25 a factor of j(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-25)\/(-50))\/((-2)\/(-4)). Let n(i) be the first derivative of 2*i**3\/3 + i**2 - i - 2. Give n(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 9:28 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 2*w - 80 = 0. Suppose -3*z + 2 = -2*v + w, -2*z - 35 = -5*v. Let t(h) = h**3 - 7*h**2 - h + 3. Let k be t(v). Are k and -4 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 0 + 0)*((3 - 4 - 9)*(0 + 4 - 2)*(-3 + 4 - 2) + (-4 + 0 + 2)*(-1 + 1 - 1))*(-o**2 - 1 + 1).\nAnswer: -44*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -709*v - 3444 = -713*v. Let n = v + -856. Solve g + 4*g + 25 = 4*c, 0 = -n*g - 25 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 v when three letters picked without replacement from {v: 5, j: 7}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i. Let h(d) = -32 + 8 + 24*d + 14 + 8 + 4. Calculate k(h(c)).\nAnswer: 96*c + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 12*b**2 - 6*b + 8. Let d(j) = -11*j**2 + 5*j - 7. Let o = -487 + 824. Let f = 331 - o. What is f*d(x) - 5*q(x)?\nAnswer: 6*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -87 + 261. Suppose -3*i = -4*x + 12, 15 = 5*i - i + 5*x. Suppose 2*p - 14 - 44 = i. Calculate the highest common divisor of p and h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28465?\nAnswer: 5, 5693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-3\/2)\/t**(2\/15))\/(((t*t**(-2\/5))\/t*t)\/t**0))**(-38))**35 assuming t is positive.\nAnswer: t**(8911\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 1:26 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1535 divided by -4.\nAnswer: 1535\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express d**2 + d**2 + 8368 - 8215 - 5*d**2 as h*d**2 + l*d + c and give c.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.878945 weeks to hours.\nAnswer: 651.66276","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 459.8kg in grams?\nAnswer: 459800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35246063?\nAnswer: 227, 155269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40.85 - -0.85. Let f = k + 38.7. Which is smaller: -0.01 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8323 and 406.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 u, and 1 p when three letters picked without replacement from {m: 1, p: 1, u: 2, a: 1, s: 1, q: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {l: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (1 + 0)*0 + 4. Suppose 2*c - 2*h - 86 = h, 114 = u*c + 3*h. Suppose -5*y + c = -3*y. What is the remainder when 138 is divided by y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/15, -3, 6, -4\/5, 1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - o + 4 = 0. Suppose o*t + 6*y + 148 = 2*y, 5*t + 4*y + 187 = 0. Let q = t - -86. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 24*v = 28*v + 10609, j + 2*v - 10585 = 0. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*-1*(-14)\/98?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 34 = -6. Let u be 9202\/(-4) + ((-4)\/v - -1). What is u rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z**2 - 2*z**2 - 3*z**2)*(-21*z - 2 + 22*z + 0) to the form k*z**2 + r*z**3 + p + g*z and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 450590369.\nAnswer: 41, 268049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -18, 4 in ascending order.\nAnswer: -18, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 125, -30, -0.2 in increasing order.\nAnswer: -30, -0.2, 0, 2, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 154 and 17878.\nAnswer: 196658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away -12580550121094?\nAnswer: 12580550121093.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -6 + -1 + 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15523 and 258.\nAnswer: 93138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 33043104 + -4?\nAnswer: 33043100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 52030 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -49848*w*y**5 - 5*w*y**3 + 28*w*y**2 + w*y - 73*w - 4*y**2 - 2*y wrt y.\nAnswer: -2990880*w*y**2 - 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -692*o - 41. Let b(t) = -4*t + 117. Let q be b(30). What are the prime factors of m(q)?\nAnswer: 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2177*o**5 - 1747*o wrt o?\nAnswer: -43540*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.647115us to seconds.\nAnswer: 0.000004647115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 3. Suppose i*r = 2*r + 8. Let u = 755 + -750. Solve -3*s - r*s = -u for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, 161.9, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6380023?\nAnswer: 13, 490771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 21*t + 103. Calculate b(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l**2 - 107*l + 252. Let q be g(51). Sort 1\/6, -0.17, -68, -5, q in descending order.\nAnswer: 1\/6, -0.17, q, -5, -68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56 and 44?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and 31616317?\nAnswer: 189697902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + u + 3)*(0 - 4 + 2) + (0 + 4 - 1)*(2*u - u + u) + (3 - 7 + 2)*(0*u + 2*u - 3*u) + u + 0*u - 2*u.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -46 + 52?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, -13\/11, -43?\nAnswer: -13\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 10}. What is prob of sequence rrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -347 by -3.\nAnswer: 347\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 33582 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -107 - 6b?\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3565931.\nAnswer: 3565931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gr when two letters picked without replacement from uzznfrgur?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2443.\nAnswer: 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 7*q**2 + 87*q - 37. Let x(n) = -3*n**2 - 43*n + 19. Let s(a) = 3*k(a) + 5*x(a). Factor s(o).\nAnswer: 2*(o + 8)*(3*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Let x(w) = -2*w**3 - 62*w**2 + 52*w - 431. Calculate x(-32).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k. Let h be r(-1). Let n(w) = -w**2 + w. Let d(y) = y**3 - 4*y**2 + y. Determine h*d(l) + 3*n(l).\nAnswer: -l**3 + l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -3*n**5 + 54*n**4 + 1269*n**3 + 2364*n**2 + 1152*n = 0.\nAnswer: -12, -1, 0, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (284\/6)\/(-3 - 35\/(-15)). Let k = f - -79. Solve -2*x + k = -6*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 6:49 PM?\nAnswer: 2:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (22 - -85 - 42 - 42) + -53\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6732*25120.\nAnswer: 16910.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-21) + 37\/7. Suppose 129*z - 133*z + 8 = 0. Suppose 9 = g - 4. Solve j*n - g - z = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 0.235, 0.4, 2, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m = 6*m + 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67331 = -16*y + 67219 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -335*o*x**3 - 5*x**3 + 12*x wrt o.\nAnswer: -335*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a minute in milliseconds?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - -3 - ((-13 - 0) + (-106 - -107))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 7 - 9 = 0. Suppose -6*q + 6 = -w*q. Suppose 0 = -q*l + 2*l + 6. Solve 0 = 3*i - l*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 239 - 243.86. Let g = 4.887 + m. Put -5, 4\/7, g in increasing order.\nAnswer: -5, g, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 41601854?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5403 > 16210\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(68) + sqrt(68) + ((sqrt(68) + 2 + sqrt(68) + sqrt(68))*3 - sqrt(68)) - (sqrt(68) + ((sqrt(68) + -2)*5 - sqrt(68))))**2 + 1).\nAnswer: 640*sqrt(17) + 3914","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 423*d + 715418 - 755603 = 0 for d.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 38*l**2 + l. Let t be 0 + (2 - (-2 - -5)). What are the prime factors of q(t)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49950.19 litres to millilitres.\nAnswer: 49950190","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 365, 729, 1093?\n\"Answer: 364*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44859 is divided by 8743.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*u**2 - 9*u**2 + 3*u**4 + 0*u**4 + u**4 wrt u.\nAnswer: 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 + -4 + -17 + 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6524 and 38304?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -6*b**2 + 16 + 20 + 5*b + 4*b - 79 + 28 + b**3. Calculate d(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 89 + 28. Suppose 0 = -5*u + 21*l - 17*l + 79, 0 = -4*u + l + x. Calculate the remainder when u is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 545 = 10*x + 145. What is the highest common factor of 320 and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1935 times 201?\nAnswer: 388935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven quarters of a meter?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-372)\/(-837) + 59\/9. Solve -q*z - 3 = -38 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 105\/349? (a) -1\/5 (b) -4 (c) -19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2645418.6 rounded to the nearest 100?\nAnswer: -2645400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 59173394\nAnswer: 59173397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/3 - 5617772*i\/3 + 5617774\/3.\nAnswer: -2*(i - 1)*(i + 2808887)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-7) - ((-16)\/56)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 6. What is the third smallest value in 2\/5, n, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -13 in descending order.\nAnswer: 4, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 1973.98 to the nearest ten.\nAnswer: 1970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 583701317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-98)*7*1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 1 - 4. Suppose 0 = 2*r - 5*k - z + 5, -4*k - 29 = -5*r. What is the greatest common divisor of 1 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**5\/5 - 11*n**4\/24 + 5*n**3\/3 - 23*n**2. Let a be d(1). What is the highest common divisor of a and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pop when three letters picked without replacement from {p: 7, h: 1, o: 1, a: 5, r: 1}.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 take away 1.9?\nAnswer: -103.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 7*n**2 - 8*n - 8. Let d(h) = h + 3. Let c be d(7). Suppose -5*g = -c + 40. Let k be t(g). Solve 5*y - 5 = 2*a + 5, 8 = a + k*y for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1951898.\nAnswer: 2, 13, 37, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 8*x + 164. What is n(-23)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 192923 + -275494057\/1428. Let q = -2\/357 + n. Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -104.61 (b) -5 (c) -1 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 74170*y - 3634309. Give a(49).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-3 + sqrt(847)*-2*-5 + ((-2 + sqrt(847))*3 - sqrt(847)))*3)**2.\nAnswer: -106920*sqrt(7) + 5492205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 592353 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7479.\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 11:55 PM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -20, -19, -16, -11?\n\"Answer: x**2 - 2*x - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/3)\/((-1104)\/(-414)) + 82\/(-8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(4*sqrt(21)\/sqrt(3) + sqrt(7)).\nAnswer: sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(3\/5))\/(u**(-7)*u)*u\/(u**(-4\/3)*u)*u*(u\/u**(1\/7))\/u assuming u is positive.\nAnswer: u**(902\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 7, -4 in descending order.\nAnswer: 7, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**2*r**3 + 3*a**2*r**2*w + 14*a**2*r*w**2 + 1099*a**2*w**3 - 2*a*w**2 + 4*r**3*w**3 - 4*r*w wrt w.\nAnswer: 6594*a**2 + 24*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -267, -269, -265, -255, -239?\n\"Answer: 3*b**2 - 11*b - 259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1325306077 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y - 15, -905*y + 5 = -5*i - 908*y for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 b when three letters picked without replacement from ububuibpuuuipppubb?\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 41 + -40. Do o and -3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 8*w - 7. Let a be q(-7). Suppose a*t + 8 = 4*t. Solve 0 = p + t*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.508 + 0.58. Let h = z - 2.072. Let d = -2.000049 - h. What is d rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-267)\/2*456\/6. Let q = -6531 - -1185. Let u = q - i. Round u to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 11*r**3 - 119*r**2 - 18*r + 101. Give h(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*g = -138, 4*g + 15 = -k - 27. Let v = k + 48. What is the highest common factor of v and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 4*z - 185. What is x(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 65, 164, 303, 482?\nAnswer: 701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/21 - 22\/(-28)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7023566 + -4783566. What is v rounded to the nearest 100000?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 110\/89 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x - 5*x - 13263331 + 13263331 + 4*x.\nAnswer: 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21626 + -13722. What is the thousands digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10493485.8 less than -0.4?\nAnswer: 10493485.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -r + 5*r. Let s = 57 - r. Is 12 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 365\/(-15)*(-2 + -4)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -71 + 66. What is the nearest to -1\/6 in 2, 5, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 482\/437 < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p**3 - 6*p**2 - 3*p - 1. Let i(u) = u**3 + 8*u**2 + 4*u - 1. What is 3*i(a) + 4*w(a)?\nAnswer: -9*a**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - (-5 + -15)) + -1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 18*j + 318, -29 = j - 6*j - 2*f - 122 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 486?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153439?\nAnswer: 11, 13, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2 + 13*s + 11. Suppose -3*z + 5 = -2*y, -4*z + 1 + 5 = -3*y. Suppose 4*c + 32 = -2*q, z*c + 32 = -3*q - 4. List the prime factors of u(q).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187*w + 186*w - 1149*w + 190*w + 184*w + 390*w.\nAnswer: -12*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 7*s**2 - 15*s - 28. Let v be m(-9). Let k = v - -89. Suppose 2*c = -c + 54. What is the remainder when k is divided by c?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 8:39 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174953?\nAnswer: 53, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3*l**3 + 107*l**2 + 32*l + 152. Let c be t(36). Solve b - m = 2*m + c, 4*b = 3*m + 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -3553.03219\nAnswer: 1065.909657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.29*-0.081.\nAnswer: 0.02349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 1 = -3*u - 3, 0 = u + 4. Suppose 2*l = -w + 4*w - 6, 8 = -4*w. Let q = l - -12. Which is greater: s or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1370, 2, 1, -1, -3 in ascending order.\nAnswer: -1370, -3, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 277248 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (30\/(-15))\/(4\/(-482)).\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-10) + (1 - 0). What is the nearest to p in 1, -0.5, -3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + (-54 - (-13 - 3) - -17)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-10) - 24\/120. What is the closest to -0.2 in h, -2\/7, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4 + -3*sqrt(108) - 5*(sqrt(108)*3 + -1))**2*-6 + -1.\nAnswer: -210007 + 3888*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2530.17 weeks in hours?\nAnswer: 425068.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 m, and 2 q when four letters picked without replacement from mmmmqjmjmmqm.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z + 4*z - 3*z + (3 + 2 - 6)*(-6*z + 2*z + 3*z) - 2 + 5*z + 2 + (5*z + 6*z - 5*z)*(-25 + 68 - 30) - 4*z + 6*z - 3*z to the form j*z + d and give j.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 81*b**2 + 144*b - 479. Calculate the remainder when w(3) is divided by 195.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -221169.5 to the nearest one thousand.\nAnswer: -221000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*z - 58*z - 141 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r**(-2)*r)*r**(-2)\/r)**(-9))**6 assuming r is positive.\nAnswer: r**54","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.2753831027969 + -5.\nAnswer: -11.2753831027969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 188 + -236. Let h(q) = -2*q**2 + 15*q - 12. Let w be h(c). Round w to the nearest 100.\nAnswer: -5300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*f - 56*f = 155*f - 155*f - 11430 for f.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 12:14 AM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6640.06 litres in millilitres?\nAnswer: 6640060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*v + 28 = x, 0 = 5*x. Let m = -9 + 4. Let p be ((-28)\/2 - 0)\/((-3787)\/1082). What is the second smallest value in p, m, v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1001\/6006)\/((1\/(-5))\/((-2)\/(-5))).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93908*l - 208 = -93960*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the second derivative of -221*u**5\/20 - 23*u**3\/3 + 9*u**2 - 416*u. Find the second derivative of c(z) wrt z.\nAnswer: -1326*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + -2 - 0)*(-18)\/18. Let n(r) = 12*r**3 + r**2 - r - 1. What is n(l)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*b - 40 = 0. Calculate the least common multiple of b and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(2\/27))\/j*j*j**(-1\/4))**(-44) assuming j is positive.\nAnswer: j**(-979\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -116 + 195. Suppose 0 = 2*x + 2*x + h - 14, -2*x = -3*h - 14. Suppose x*n = -5*w + d, 2*n = -3*w + 11 + 38. What are the prime factors of w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(2448)*4 + -4)*6 + 2).\nAnswer: -44 + 576*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55 - 54.99. Are -0.1 and r non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 6 = 5*y. Suppose -4*w + 80 = y*g, 2*g + 2*g - 52 = -2*w. Find the common denominator of w\/4*(-19)\/3 and -43\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*h**2*u**4 - 3340*h**2*u**3 + 5*h**2*u**2 - 6*h**2 + 690*h wrt u.\nAnswer: -192*h**2*u - 20040*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -8. Put 5, -2, j in decreasing order.\nAnswer: 5, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -1. Let l = -130 + 140. Calculate the lowest common multiple of l and n.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2063 divide 6516969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20987 is divided by 912?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -100.5755 rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*o**4 + 2631*o**3 + 30669*o**2 - 8247*o - 36267 = 0. What is o?\nAnswer: -11, -1, 7\/6, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 17, 33, 69, 131, 225?\n\"Answer: y**3 + 4*y**2 - 3*y + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 11156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-5) + (-85002)\/106290)*-1. Let o = 10832\/719229 + w. Find the common denominator of -55\/21 and o.\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-9 + (-1 - -4 - 6 - -32))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3552 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 642 = -719*v - 663 - 852 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5052 divided by 11.\nAnswer: 5052\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3\/6 + 40*s**2 - 155*s\/2 + 115\/3.\nAnswer: -5*(s - 46)*(s - 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 17181.03kg?\nAnswer: 17181030000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**4 - 5*a**4 - 6*a**4 + a**4 - 6*a**4 + 4*a**4 + (2*a + 2*a**3 - 2*a)*(-3 + 3 + 3*a) + (1 - 1 + a)*(4*a - 3*a**3 - 4*a + a**2) - a**4 - 2*a**4 + a**4.\nAnswer: -8*a**4 + a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -384 - 199. Let g = r + 588. Is 5 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v - 12. Let x = -420 - -424. Suppose 10*s = 7*s - x*h + 15, 4*s = 3*h + 45. Give n(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, c: 9, w: 3, b: 1}. Give prob of sequence wbc.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 24e58a?\nAnswer: -24e588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0458 + 258.9542. Let s = h + -164. Let f = 95.5 - s. Which is the closest to 1? (a) f (b) -0.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14130991 to the nearest integer?\nAnswer: 3759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 3 = d. Let h be 1 + 12\/(3 - -1) + d. Is h less than or equal to 3\/68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -10330002?\nAnswer: 10330011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 626 is divided by 87?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*n + 105 = -27*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12002\/(-1059)*18\/(-4)*1\/3?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -i**2 + 4*i + 375. Let l(c) be the third derivative of -c**4\/4 + 11*c**3\/6 - 29*c**2. Give -11*j(o) + 4*l(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1344.298 - -1341. Let o = -3.291 + -0.369. Let i = s - o. What is i rounded to 2 dps?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 4261*k - 4260*k = -4, -4*j + 4*k = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 4*o = -241532, -208*z + 2*o = -211*z + 181139. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (3 - (10 + -2 - (32 + -30)))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1452 or -1197?\nAnswer: 1452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2. Let o(s) = s**3 - 6*s**2 + s + 6. Let q be o(6). Let c = -6 + q. Let i(x) = -x + c*x - x + 0*x. Give i(z(w)).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5*n - 28 = 0. Let k(z) = 2*z + 9. Let q be k(n). What is the closest to -0.1 in 0.4, q, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 6*j**2 - j + 2. Let h(t) = -9 + 4 - 4 + 7*t**2 + 6 - t + 5. Suppose -5*v + 3*v = 10. Determine v*w(y) + 4*h(y).\nAnswer: -2*y**2 + y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -50880.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 16, -4234 in increasing order.\nAnswer: -4234, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 3 in descending order.\nAnswer: 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, b: 4, k: 6}. Give prob of sequence iik.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270 = 5*p + 2*j - 104, 2*j - 222 = -3*p. What is the greatest common divisor of 1748 and p?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7799 or 7788?\nAnswer: 7788","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d. Let s(t) = 35807*t. Give s(y(g)).\nAnswer: -35807*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4778 + -2741. Suppose 5*k - 3018 = g. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2337 times 0.1?\nAnswer: -233.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 2170.\nAnswer: -1\/434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -453500?\nAnswer: -453453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 12 = 4*h, 13*m - 29*m - 5*h + 54 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(363) - (sqrt(363)*2 + -1)) + (-1 + sqrt(363))*1 + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - t - 24990174, -16*h + 3*t + 37485261 = -13*h. Let y be -2 + 2 - (7295085 + 2). Let a = h + y. What is a rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 26*i**2 - i - 5. Let r be h(-3). Suppose r = 5*y - y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*y**2*z**2 - 9*y**2 - 5557856*y*z**2 + 24636*y*z - y + 2*z**4 - 2*z + 19 wrt z?\nAnswer: -6*y**2 - 11115712*y + 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 37199473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of 4\/3*n**3 - 6*n**2 + 1\/15*n**5 + 1\/2*n**4 + 0 + 0*n. What is q in m(q) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-5))\/(7\/(-5)). Let v = -21602 + 21598. Which is the nearest to j? (a) -0.1 (b) 63 (c) v (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 666 - 374. Let n = 391 - b. Is n a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 43 = -25. Let q = m - 5. Which is the nearest to q? (a) -0.2 (b) -5 (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.03 + 0.37. Let b = 487 + -488. Put 2\/11, b, j in ascending order.\nAnswer: b, 2\/11, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-741)\/(-760) - 24\/64)\/((-1)\/(-45)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 5, 4474, 9, 7 in descending order.\nAnswer: 4474, 13, 9, 7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -256, -1895, -6328, -14953, -29168, -50371, -79960?\n\"Answer: -233*p**3 + p**2 - 11*p - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9589, 19444, 29571, 39976, 50665, 61644, 72919, 84496?\n\"Answer: b**3 + 130*b**2 + 9458*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.8 - 2.2. Let o be (-2 - (-35)\/21)*0\/4. What is the nearest to -2\/9 in c, o, 0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/9 (b) -227\/2 (c) -0.1 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqx when three letters picked without replacement from {a: 1, q: 2, n: 2, x: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 144.7 less than 42856.4?\nAnswer: 42711.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10801, 10809, 10829, 10867, 10929, 11021, 11149, 11319?\nAnswer: 11537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -7*y - 36. Give i(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 11:11 PM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2304*s**2 - 3*s**3 - 1133*s**2 + 7*s - 1170*s**2 in the form r + z*s**2 + h*s + v*s**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 + 5*k + 16. Let t be m(-15). Let g(v) = t*v - 391*v - v**2. Let o(p) = 8*p. Determine g(o(u)).\nAnswer: -64*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**4 - 6*y**2 - 8*y**3 + 16*y**4 + 5*y**3 = 0.\nAnswer: -1\/2, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1021974993.\nAnswer: 3, 13, 29, 359, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5102 (base 6) to base 10.\nAnswer: -1118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - h + 5. Let i be q(-4). Let y = i - -10. Let z be (1 - y) + 16\/8. Solve 4*n + z - 4 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1385662 at most 1386616?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -420*g = h - 423*g + 6, 5*g + 7 = -4*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7439595 - 16078196. Let t = i - -8638641.99999. Let q = -41 + t. What is q rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -6*q**3 - 37*q**2 + 29*q - 15. Calculate i(-7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 - 32. Suppose q*k + 36 = 4*p, 8*k - 3*k = -10. Let y(s) = 2*s - 4. Is y(p) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of -7*d**4\/12 - 79*d + 2. Let b(i) = -2*i**2 + 3*i - 3. Let j(p) = p**2 - 2*p + 2. Let n(s) = 2*b(s) + 3*j(s). Give n(q(t)).\nAnswer: -49*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c**(8\/5)*c)*c**(-18) assuming c is positive.\nAnswer: c**(-98\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -5*q**2. Let f(a) = 4*a - 3*a + 0*a - 2*a. Let d(s) = 9*s. Let g(v) = 2*d(v) + 21*f(v). Determine z(g(i)).\nAnswer: -45*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -52 (b) 5\/6 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -178 - -180 - ((-3 - -15) + -3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3840*a - 17927*a - 14393*a + 104*a + 3365*a.\nAnswer: -25011*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3 + 714*z**2 + 2895*z + 2178.\nAnswer: -3*(z - 242)*(z + 1)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00192182991 rounded to four dps?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1122598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 518 is divided by 89?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a tonne in kilograms?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.530494 months in millennia?\nAnswer: 0.0009608745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(40\/(-16)*-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2 - 4*g + 3. Let k(u) = -7*u - 9. Let y be k(-4). Let z = -17 + y. What is m(z)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -0.1356?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 11 = 4*i - 0*r, 3*i - 13 = 4*r. Suppose g = -a - i, -4*g - 2*a + 0*a - 2 = 0. Solve -4*f - 4*o + 15 = -5*f, g*f - 2*o + 12 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 144 - 77. Suppose 39 = -4*q + v. Solve -4*x + 18 = -f, 4*x + q = 2*f + 27 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + g. Let z be (-10)\/(-75) - 248\/60. Let s(r) = -142*r**3 + 6*r + 94. Let a(x) = z*u(x) + s(x). Find the second derivative of a(i) wrt i.\nAnswer: -876*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2. Let d(u) = -19*u - 26*u - 56*u + 23*u. What is o(d(l))?\nAnswer: -6084*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**1)\/k**(-2\/11)*(k**(-1))**(-14) assuming k is positive.\nAnswer: k**(156\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -79 - -39. Is ((-32)\/h)\/((-4)\/(-50)) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/50 and -47\/258.\nAnswer: 6450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 8.18, 5, -5, 0?\nAnswer: 8.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20965 is divided by 338.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4 - 2 + 27*d**3 - 13*d**3 + 8 wrt d?\nAnswer: 42*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -161450 + 13?\nAnswer: -161435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + 190. Let p = -198 + h. Is 3 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/29994 and 131\/1589682.\nAnswer: 1589682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8912473 is divided by 163.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201*c + 673*c - 222*c - 251*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of f**4\/24 + 17*f**3\/6 + 28*f**2. Let l be d(9). What is the greatest common factor of 13 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i + 16. Let o = -37 + 28. What is the remainder when m(o) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 18.1 (b) 2\/3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10287\/13 + -789. Sort -5, 0.4, -0.5, f.\nAnswer: -5, -0.5, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**6\/90 + i**5\/30 + 11*i**4\/36 - 2*i**3\/3 - 6*i**2 + 31*i. Find g, given that t(g) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 6, 0 = 2*k + 3*t + t - 10. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j = 13*j + 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(3*(-4)\/6). Let p = b + 3. Factor -5*m**3 + 2*m + 4*m**3 - 2*m**2 + 0*m**2 + 3*m**p.\nAnswer: -m*(m - 2)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 9*l + 7. Let t be (-24)\/(-6) + 2 + -17. Let u(x) = 5*x + 4. Let n(y) = -5*y - 4. Let q(z) = -4*n(z) - 3*u(z). Give t*q(m) + 6*w(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 3 (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/7, -2.21, 0.4, 109?\nAnswer: -2.21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -6454 greater than or equal to -6440?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c - 0*c - z - 2*z + 15, 4*z - 1919 = 2*c - 1923 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 511, 3\/7 in ascending order.\nAnswer: 3\/7, 1, 511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1525710 and 2275.\nAnswer: 694198050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 35*w**5 + 3300*w**4 + 695*w**3 - 23310*w**2 - 26380*w - 5640 = 0.\nAnswer: -94, -2, -1, -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 123 by -3485.\nAnswer: -3\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1701 divided by -9\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifteenth of a day in seconds?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 78384565 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, -2456, -30162?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3\/25 - -1273\/225. Find the common denominator of 7\/54 and h.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7513.8696s to hours.\nAnswer: 2.087186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n**3 + n**2 + 2*n + 1. Determine z(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00042060755 rounded to six dps?\nAnswer: 0.000421","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, g: 1, y: 1}. What is prob of sequence myg?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141097 is divided by 47?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 1170.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1242866.\nAnswer: 2, 19, 32707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11d5d (base 15) to base 11.\nAnswer: -39920","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 2031203623 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 4*s**2 - 4034*s - 12081. Calculate c(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20122022 (base 3) in base 16?\nAnswer: 12e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 37 + -67 + (39 - -6) + 13\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 94\/151997 or 1?\nAnswer: 94\/151997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**2 - 2*u**2 + u**2 - u**2 + u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 123251.3ms?\nAnswer: 123.2513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4271*g**3*s**3 + 33*g**3*s + 8*g**2 wrt s.\nAnswer: 25626*g**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10519159 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -8\/3 (b) -2\/19 (c) -107 (d) -4 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1846048 and -0.67.\nAnswer: 1846047.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 679 + 1062*u - 1342 + 663 to the form z*u + b and give z.\nAnswer: 1062","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -7223?\nAnswer: -7226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.038*-6.47\nAnswer: -0.24586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + 23 + (-16 + 1 - 3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5*h - 534, -4*y + 3*y = -5*h + 526. What is the remainder when h is divided by 51?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 30*u**2 - u. Is 11 a factor of s(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.04 + -16.04. What is the closest to q in 0.2, 5, 5\/2, -10?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-960*t**2 + 17*t**4 + 960*t**2)*(-6*t + 2*t + 2*t).\nAnswer: -34*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - 77*(-16)\/(-56).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - -15 - 8 - (1 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3144, 3125, 3102, 3075?\nAnswer: 3044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one tenth of a millimeter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/6 - -4) + (-11 + -23)\/2?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/12 and (-4)\/(-48)*(-1755)\/(-611)?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vgrvv. What is prob of picking 1 g and 1 r?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 21 and -5885854723953.\nAnswer: -5885854723932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**3\/4 - 31*r**2\/4 - 67*r\/2 - 26 = 0.\nAnswer: -26, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-734492)\/(-44) + -3 + -15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.0837 - 3.823. Let w = m - -1.7. What is w rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34800098?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 4. Let v(a) = -a - 8. Let k be v(i). Let o(n) = n**k + 0*n**2 - 3*n**2 - n. Determine o(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + -38. Let b = 44 + w. Solve -3*u + 4*q - 5 = -6*u, 4*u - q = -b for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -g**3\/3 + 347*g. Suppose s = 5*i + 48, 5*i - 47 = -3*s - 3. Let c(h) = -h + s*h**2 - 2*h + 4*h + h. Determine q(c(n)).\nAnswer: -46*n**2 - 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m**3 - 23*m**2 + 15*m + 28. Determine q(-12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3272, 3260, 3246, 3236, 3236?\nAnswer: 3252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2524 - 35205?\nAnswer: -32241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -1\/2*f**2 - 2 + 0*f**3 - 11*f + 3\/2*f**4. Determine j(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 2*l. Suppose p = -4*p - 10. What is k(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2448) + 2)**2 + 0 + -1 + (2 + -2 + sqrt(2448) - ((5*(sqrt(2448) + 1) - sqrt(2448) - sqrt(2448)) + sqrt(2448))) + -5.\nAnswer: -12*sqrt(17) + 2438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76\/6*(8 + -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/5, 142, 0.3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 9. Let n = -0.1 - -1.1. What is the third smallest value in n, 3\/7, h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 7*h**2 - 2*h. Let j(p) = 20*p**2 - 5*p + 1. Let o(c) = -c**3 - 5*c**2 + 37*c + 17. Let a be o(-9). What is a*d(z) - 3*j(z)?\nAnswer: -4*z**2 - z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**2\/n)\/n*n\/n**(-5\/3)*n*(n**(-2))**43)\/(n*n**(-4)*n**(-8)*n*(n**1*n)**3) assuming n is positive.\nAnswer: n**(-235\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55585, -59842, -66939, -76876, -89653?\nAnswer: -105270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i - 5*i**2 - 1 - 5 - i - 18*i**3 + 11. Let w(m) = 27*m**3 + 8*m**2 + 8*m - 8. What is -8*g(x) - 5*w(x)?\nAnswer: 9*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8321, 9156, 10017, 10916, 11865, 12876?\n\"Answer: 2*q**3 + q**2 + 818*q + 7500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 24 - 18 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*q**2 - 368*q**2 + 118*q**2 + 125*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 4*x - 1. Let a(o) = o - 1. Suppose 5*d = -6*k - 24, 77*d - 72*d + 20 = -5*k. Calculate k*a(c) + i(c).\nAnswer: c**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**2\/3 - 2*l\/3 + 4\/3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 455 divide 20874945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8668*o**2 + 75*o**3 - 141 + 8657*o**2 - 79*o**3 to the form z*o**2 + y + n*o**3 + q*o and give y.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*s)*(-466 - 467 + 936 - 669*s).\nAnswer: 1338*s**2 - 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 0.113, -0.1, -3\/5?\nAnswer: 0.113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 3*z**2 + 5*z + 16. Let b be k(-3). Is 2\/1323 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 150\/39 + (-1 - (-45)\/39) and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 + 67 = -6*u - 108 + 35 for u.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(112)*1 + 2 + sqrt(112)))**2.\nAnswer: 288*sqrt(7) + 4068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/4 + 8694*l + 17387.\nAnswer: (l + 2)*(l + 34774)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 11:44 PM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -5, 0.3, -3, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51295891.\nAnswer: 53, 967847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.081948 rounded to 3 dps?\nAnswer: -0.082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.05 - -1.05. Let s = f + -1.000003. Round s to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = c - 4, 2*c = -4*h + 5*c - 12. Suppose h = -6*s + 7*s - 40. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4266e (base 15) in base 16?\nAnswer: 33710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1568*u + 61641 + 10487 for u.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -h**4\/24 + h**3 + 3*h**2. Let p be t(3). Is 7 a factor of (-4 + p - -15) + 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 92*w - 11*w - 29*w + 15*w. Let x(q) = 2*q**2. Determine j(x(g)).\nAnswer: 134*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**5\/y*y*y*y*y*y**(-23\/4)\/y assuming y is positive.\nAnswer: y**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - 3*h + 3*h)*(-9*h**2 + 0*h + 0*h + (-h**2 + 0*h**2 - h**2)*(4 + 1 - 3) + (-h - 6 + 6)*(-3 + 3 + h)).\nAnswer: 28*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1132134 - 1?\nAnswer: 1132133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289786?\nAnswer: 2, 7, 2957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35 and 791030?\nAnswer: 5537210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2 + 0 + 2*c - 4*c**2 + 5*c**2. Let z be k(-2). Suppose 12 = 3*t + 4*d - 13, -5*t - z*d = -37. Calculate the greatest common factor of 63 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/39)\/((-84)\/(-7)). Let f be (-5726)\/25740 - (-2)\/5. Let x = o + f. Is 1 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 18, u: 1, v: 1}. What is prob of picking 2 u?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (0 - (6 - 4)) - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/40)\/((-17)\/(-68)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and 3.082.\nAnswer: 6.082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of 0*p**3 + 4*p**2 + 1\/4*p**4 + 0 + 0*p. Let c(a) = -2*a. Give s(c(r)).\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*i + 84 + 33 + 25 - 347 + 82 as s + w*i and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 8*i**2 + 7*i + 12. What is o(-6)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 327 + -326.843. Round a to two dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/14*(-1167)\/4. Let g = -167 + z. Suppose 4*w + w = -20. Which is the third biggest value? (a) g (b) w (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -276, -271, -254, -219, -160, -71?\n\"Answer: t**3 - 2*t - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 372*x**2 + 5*x + 146. Is 15 a factor of b(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) -2 (b) 3\/4 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1545631 from -10.5007.\nAnswer: 1545620.4993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 4*g**2 - 7*g - 2. Let p be (1\/3)\/(4\/(-60)). Calculate the smallest common multiple of n(p) and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 + 3 + 74\/(-12). Sort 2, -2\/5, g in descending order.\nAnswer: 2, g, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221600 rounded to the nearest 10000?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 0. Suppose -12*d = 12*d. Solve 6*h - w*h = d for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3 + sqrt(2) + -2)**2.\nAnswer: 1 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 6*i - 5. Let v(w) = -w + 13. Let a be v(15). Let d be (-290)\/(-35) - 4 - a\/(-7). Calculate o(d).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(14) + sqrt(686)*-2 + sqrt(686) + sqrt(14)))\/(-2*sqrt(28) + sqrt(84)\/(sqrt(48)\/sqrt(4))).\nAnswer: 25*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04003 and 11.\nAnswer: -0.44033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 16821, 33633, 50445, 67257?\n\"Answer: 16812*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -1\/2*k**2 + 0*k**3 + 0*k + 0*k**4 + 1 + 1\/60*k**5. Let w(n) be the second derivative of f(n). Factor w(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + r**2 - r - 1. Let x be j(0). Suppose 2*p = -p. Is x at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 16*p + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/18 - 54\/(-243). What is the closest to -2\/3 in 15, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-310470)\/(-113839)*297\/15\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 292, 2, -3344\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - -1*(-49)\/7. Which is the second smallest value? (a) i (b) -4\/9 (c) -0.68\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -1, 3\/5, 13\/166?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22265454 divided by -57.\nAnswer: 390622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o**3 - 6*o**2 - o. Let t(x) = -2*x - 2*x**2 - 2*x**3 + 3*x + 7*x**2. Determine -3*j(u) - 4*t(u).\nAnswer: -u**3 - 2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 89553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -11*w**2 + 245*w + 42. Let o be f(23). Let z(q) = 194*q**3 + q**2 - 1. Let j be z(-1). Let u = o - j. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**5 - 2*f**5 + f**5 + (0*f**5 + 0*f**5 + 2*f**5)*(-3 + 5 - 1) - 2*f**5 + 0*f**3 + 0*f**3 + (-f - 1 + 1)*(4*f**4 - 3*f**4 - 2*f**4).\nAnswer: 2*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2415*i - 24990. Calculate l(-10).\nAnswer: -840","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 111\/6 + 2\/(-4). Suppose 20*r - 30 = n*r. What is the remainder when 28 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 10*x**3 + 7*x**2 + 6*x - 6. Let u(p) = -p**2 + 3*p - 1. Let c be u(2). Let t(m) = -m**3 - m**2 - m + 1. Give c*f(h) + 6*t(h).\nAnswer: 4*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 103434.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-2\/37))**(-26) assuming o is positive.\nAnswer: o**(-910\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10157151.\nAnswer: 3, 3385717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - a + 5*a - 20, 2*n + a + 1 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(6*j**2 - 4*j**2 - 3*j**2) + 4 - 4 + j**2 + 3*j - 3*j + 2*j**2 + 4*j**2 + 2*j**2 - 3*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of 7*f**5\/90 - 208*f**4\/9 + 356*f**3\/27 - 4631*f. Find n, given that y(n) = 0.\nAnswer: 0, 2\/7, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 + 12*t + 40. Let j be w(-11). Solve 20*o + 69 = j for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 - 4*z**2 - 113*z + 677. What is p(8)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*z**3 - 52*z**3 - 3*z - 94*z**3 + 538*z**3 - 262*z**3 + 3*z - 67*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.04562 + -0.44562. Is -10\/51 bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1309732 = -178*f - 27*f - 378827. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2*p - 1 = 0. Let d be -2 + (-22)\/(-6) - 2. Let g = 1 + -2. What is the closest to p in g, 3\/2, d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 4*b - 6 = 6, -2*b - 12 = -5*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 414672 and 18?\nAnswer: 1244016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 1734.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 600068.9l?\nAnswer: 600068900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 35?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24804 - -50685\/2. Let d = f - 563. What is the common denominator of d and -111\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142 + 648 = 2*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 1.4, 14.9083 in descending order.\nAnswer: 14.9083, 1.4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 1. Let v = m - -7. What are the prime factors of -2*v\/(6\/(-33))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 224822 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1997877944.\nAnswer: 2, 17, 14690279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of f**3\/2 + 11*f**2\/2 + 4*f. Let a be k(-5). Is a\/10 - 7581\/(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 AM and 7:30 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + 2*sqrt(2057) + 1)**2*4.\nAnswer: -98748 - 528*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1162 - -3386. Let l = -1157 + u. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4*w**3 + 2*w**2 + 13*w + 1. Let o be m(0). Are 2\/463 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -6*y + 3. Let g be p(10). Let r = -47 - g. Let i = r + 21. What is the highest common factor of i and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -79 bigger than 38733?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 11605 divide 647012734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 4*p - 4 + 10, 4*d - p - 7 = 0. Suppose f = -3*q + 79 + 663, 1233 = 5*q - d*f. What is the greatest common factor of q and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 3*b - 18, 2*b = m + 3*m - 18. Suppose 3*d + 18 = -3*u, m*u = -d + u - 18. Let j = 346 - 2081\/6. Is d smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -4*h**3 + 3*h - 9. Let n(k) = -3*k**3 + 2*k - 9. Suppose 0 = -5*t + 36*t + 4*t + 105. Determine t*n(l) + 2*c(l).\nAnswer: l**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-17 - (-728)\/13)\/((-1)\/(-19)*1). What is the highest common factor of 228 and p?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1004163, 1003772, 1003121, 1002210, 1001039, 999608, 997917?\n\"Answer: -130*q**2 - q + 1004294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/7, 2372, -1, -0.4, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -31387.\nAnswer: 156935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 104197 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 401.8, -4, 0.1 in ascending order.\nAnswer: -4, -3, 0.1, 5, 401.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 3630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1176686 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6162860 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 128*f - 131*f for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 494 and 418?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4109*((-62)\/(-28) - (-35)\/(-14)) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 (base 14) in base 10?\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 7 (b) 4 (c) 2\/11 (d) 1 (e) 3 (f) -47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2816*l**2 - 2902*l**2 + 1460*l**2 + 2052*l**3 wrt l?\nAnswer: 12312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -3*w + 9 + 6, s - 15 = -3*w. Suppose s*a - 2*a - 1721554 = 0. Let v = 119223 - a. What is v rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 172 - 164. Calculate the least common multiple of d and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 120727 by 667.\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -156620544 (base 7) in base 12?\nAnswer: -36b8a23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3620, 2368, 282, -2638, -6392, -10980, -16402?\nAnswer: -22658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = j - 15. Let o be 1 - 1 - -2 - 2. Suppose o = -3*f + 8 + 7. Solve 23 = 4*g - 3*i + 9, f*i - 25 = -j*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/7)\/y)**26\/(y*y**5)**(2\/25) assuming y is positive.\nAnswer: y**(-5934\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -401131 (base 8) to base 15\nAnswer: -29033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q + 7 - 2 + 3*q**4 - 2*q**2 + q**4 + 2*q + 3 to the form n*q**3 + a + h*q + s*q**4 + p*q**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3689502 to the power of 1\/3, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkr when three letters picked without replacement from krkssrrrr?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 5:44 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 5*d - 90, -5*d + 4*q + 84 = -36. Let h be ((-1155)\/(-4) - 1)\/(d\/348). Let z = 5010 - h. What is the common denominator of 41\/8 and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2. Let n(t) = 13*t**2 + 43*t**2 + 102*t**2. Give i(n(k)).\nAnswer: 24964*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1975300 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8.2 (b) 3 (c) 1 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*o, c + c - 2*o = 898. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-24))\/(8\/(-11 - -187))?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6103 and 57596.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -14 + 4 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 480957103.\nAnswer: 11, 2879, 15187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 10*b + 11. Suppose 0 = -5*i + 18*i + 2262. Let p = i - -183. Give v(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of 1\/360*w**6 + 0 + 0*w**3 + 0*w**4 + 0*w**5 + 0*w + 3*w**2. Factor c(n).\nAnswer: n**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 78866 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1081.\nAnswer: 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6199e7 (base 15) to base 3\nAnswer: 22201201012001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1250*d - 1279*d = -1387273. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*u + 51*u + 19 = -108*t + 107*t, 2*t = -10 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in -80, -6\/11, 2\/175, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 357. Let f(r) = 1073*r + 6. Let i(n) = -895*n - 5. Let k(x) = 5*f(x) + 6*i(x). Give k(y(g)).\nAnswer: -5*g**2 - 1785","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 9*f**3 + 67*f**2 - 20*f + 153. Calculate m(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 10) to base 6\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -181803*h + 90968*h + 3*h**2 + 90835*h.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**2 + 2*j - 1. Let w(t) = -451*t**2 + 6*t + 351. Let k(o) = -3*f(o) + w(o). Differentiate k(l) with respect to l.\nAnswer: -890*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 6*b - 0*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 4:49 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 35*h**2 + 5*h + 24. Let m be i(-5). Suppose -5*l = -m - 131. What is l rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 837268.1 millimeters to micrometers.\nAnswer: 837268100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26793*j - 52*j**2 + 26793*j to h*j + f*j**2 + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 3 + 42 - 2152\/269?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*a*p**3 - 9*a*p**2*w**3 - 3*a*p*w**3 + 328*a*p - 7*p**5 wrt p?\nAnswer: -72*a*p - 18*a*w**3 - 140*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 4942*w**2 + 0 + 3*w - 4 - 4935*w**2 to a*w**2 + y + l*w and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -2*h + 3*s - 4, -2 = h - 2*s. Find the third derivative of 0 + 0 - 168*v**2 + 193*v**h + 40*v**5 wrt v.\nAnswer: 2400*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1095778 = -179*x + 1028057. Calculate the remainder when x is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4073070?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 11:15 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -11*f + 6*f + 3*f + 0 + 5 + 4*f. Let t(n) = -3*n - 9. Give 3*t(k) + 5*y(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -372 * 99993.\nAnswer: -37197396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 44*l**2 - 4*l**4 - 2*l**3 + 75*l**3 + 72*l - 105*l**3 = 0?\nAnswer: -9, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231 = -21*l - 84 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -7\/2*u**2 + 5\/6*u**3 - 8*u + 0*u**4 - 1 - 17\/4*u**5. What is the second derivative of p(q) wrt q?\nAnswer: -510*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 5*u - 2*l + 17, -3*l = 5*u - 64. What is the greatest common divisor of u and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3185222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 790*u + 337*u + 804*u to n + x*u and give x.\nAnswer: 1931","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -209*s + 2. Let d(b) = -418*b + 5. What is -3*d(k) + 7*f(k)?\nAnswer: -209*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 33772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, o: 1, u: 1, g: 1, w: 1}. What is prob of sequence gou?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 735778528?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 619210 to the nearest integer?\nAnswer: 787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kaw when three letters picked without replacement from {z: 3, a: 4, k: 2, w: 2}.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4451, -8986, -13611, -18326?\n\"Answer: -45*v**2 - 4400*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -197 + 15\/2*l**2 + 0*l - l**3. Suppose h(z) = 0. Calculate z.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 102\/(-663)*((-1)\/(-3) + (-221)\/156). Which is the second smallest value? (a) -5 (b) o (c) 192\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23845 and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - -1*sqrt(76)*2) + 5 + (sqrt(76) - (sqrt(76) + -3 + sqrt(76) + 2) - sqrt(76))*-1 + 5 + -4)**2.\nAnswer: 100*sqrt(19) + 1925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 11:06 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 + 3 - 3)*(3*x - 3*x + 2*x) + (-4*x**2 + 4*x**2 - 2*x**3)*(2 - x - 2) + 1099*x**4 + x + x - 1104*x**4.\nAnswer: x**4 + 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lttt. Give prob of picking 1 l and 1 t.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158415*s = -157847*s + 3408 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001415356 to seven decimal places.\nAnswer: 0.0000142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 7*m + 7. Let u(g) = 10*g + 10. Let h(y) = 7*o(y) - 5*u(y). Let t be h(-5). Which is the closest to 1\/2? (a) t (b) -1\/3 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22 - 27 + 5 - 441*r)*(-1 + 0 + 0) to the form z + c*r and give c.\nAnswer: 441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2231 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j. Suppose -3*w - 1 = -4*w. Let o(q) = -q**2 + 12*q + 5. Let b(l) = w*o(l) - 5*x(l). What is the units digit of b(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11654, -23691, -35726, -47759, -59790, -71819, -83846?\nAnswer: -95871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1967811 to the nearest one thousand.\nAnswer: -1968000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41\/9722, 0.2, -1 in increasing order.\nAnswer: -1, -41\/9722, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**8)\/s*s**8*s\/(s\/(((s**5*s)\/s)\/s)*s)*((s*s**(-2\/17))\/s)\/s assuming s is positive.\nAnswer: s**(304\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*p = 751 - 725 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 420122?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 95\/2 of a litre in millilitres?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*i + 5*y, -2*i = 7*y - 4*y - 1. Sort i, -23, 3 in descending order.\nAnswer: 3, i, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 29*a. Let m(t) = -7*t**2. What is m(f(r))?\nAnswer: -5887*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 4*v**3 - 104*v**2 + 836*v - 1936 = 0?\nAnswer: 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12 and 0.059238.\nAnswer: 0.710856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 1508*f + 20 = 1505*f, -b - 16 = 5*f for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h**4 + 6*h**4 + 16*h**3 - 1 - 13*h**4 + h**4 to the form d*h**4 + w*h + t + c*h**3 + z*h**2 and give c.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 1272.\nAnswer: 8904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and (-8)\/2 + 28 + -16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + m = -2200, -67*d + 68*d = m + 444. Let t = 479 - d. Suppose 0*b = 2*b - 20. What is the greatest common factor of b and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*6150\/20*2\/(-6). Let a = s + 236. What are the prime factors of a?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -388\nAnswer: -116.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -2*x + 3*v, 13*v - 1 = -x + 11*v for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1816489 to the power of 1\/2, to the nearest integer?\nAnswer: 1348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/5))**(10\/7)\/(s\/s**(-1)*s*s)**(-28)*s**(-1)\/s**(3\/5)*(s**(-1\/5)*s*s)\/s**(-1\/3) assuming s is positive.\nAnswer: s**(11876\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -6. Suppose u*i = 1 + 7. Suppose i*w = -0*w + 4, -3*z = -w - 44. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 343115 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/406 and (7\/((-252)\/8))\/(32\/408).\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + (8 - 31 - -14) + -67.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 - 6*l**2 - l - 8. Let x be d(-6). Let v(j) = j**2 - 1. Let t be v(x). Suppose i + 6 = -4*i - 2*p, -p = -t*i + 3. Solve -4*s + 4 - 20 = i for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 334 divide 1239140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l*(l\/(l**(-29)*l))\/l)\/l)\/l)\/l)**(-2\/3)*l**18\/(l\/((l\/l**(-1\/3)*l)\/l)) assuming l is positive.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*s + 3*s = 39 + 176. Put 0.1, -13\/28, s in increasing order.\nAnswer: -13\/28, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of s**9\/2520 + s**5\/120 - s**4\/4 - 7*s. Let w(t) be the third derivative of p(t). What is the derivative of w(l) wrt l?\nAnswer: 24*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l + 10. Let a = -10 + 14. Suppose 4*t = -5*v - 4 + 45, 0 = 2*t - a*v + 12. Let x be 33\/6 + (-2)\/t. Determine f(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, a: 4, w: 5}. Give prob of sequence xaaa.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 8e55 (base 16) to base 11\nAnswer: 25415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(19) - (sqrt(2299) + 2) - (2*sqrt(190) + sqrt(190) - sqrt(190))\/sqrt(10))*-6)**2.\nAnswer: 62208*sqrt(19) + 3551040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 2*x + 6. Let y be z(-4). Suppose 10 + y = 4*l. Sort l, 3, 5 in descending order.\nAnswer: l, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4 - 90*r**3 - 176*r**2.\nAnswer: -r**2*(r + 2)*(r + 88)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288914 is divided by 255.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 + 45*d - 169. What is the remainder when a(-26) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7658 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 339091 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 26928 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, a: 12}. What is prob of sequence vaav?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2))**(-1\/15) assuming r is positive.\nAnswer: r**(2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48343330, -96686653, -145029976?\nAnswer: -193373299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 18*u**2 - 30*u + 88. List the prime factors of d(12).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x - 11. Let m be d(7). Let u = 36 + -35. Let n(q) = -2*q - 1. Let g(i) = -i. What is m*g(s) + u*n(s)?\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x + 0*x + 3*x)*(0 - 4 + 5)*(0*x + 3*x**2 + 0*x) - x**3 + 3*x**3 - x**3 in the form f + p*x**2 + b*x + m*x**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yu when two letters picked without replacement from {s: 1, y: 1, u: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus 2.234498529?\nAnswer: -1.765501471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3970 - -3973.9. Let y = -0.4 - 0.6. What is the closest to t in -2\/15, -0.5, y?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 1665*h - 622. Is y(19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3*sqrt(275) + sqrt(275)))**2*3 + 2 + (3*(sqrt(88)*2 - sqrt(88)))\/sqrt(8).\nAnswer: 3*sqrt(11) + 29702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((4 + -6*sqrt(8)\/sqrt(4) + (sqrt(6)\/sqrt(3) + 2)*3)*2)**2 + 3.\nAnswer: -240*sqrt(2) + 472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 12*y**2 + y + 6. List the prime factors of c(12).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) - (sqrt(304) + sqrt(304)*-1)*-2 - sqrt(304))**2 - (sqrt(304) - (-1 + sqrt(304))**2 - sqrt(304))*2) + -5 + -3*sqrt(304) + sqrt(304) + 4.\nAnswer: -24*sqrt(19) + 609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 540561 is divided by 585?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 5*i**2 + 2*i)*(-3*i + 3*i + 2*i)*(148 + 36 + 156 + (4 - 4 - 1)*(2 - 3 - 1) - 4 + 5 - 3) + (0 + 0 - i)*(4*i**2 + 0*i**2 - 2*i**2).\nAnswer: 3398*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ekkkeeaekawkaeeaeeee. Give prob of sequence we.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -31, -33, -27, -13, 9?\n\"Answer: 4*w**2 - 14*w - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 0)*(-66535675 - 598*w + 66535675).\nAnswer: 1794*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2679368252?\nAnswer: 2, 11, 103, 311, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -78 - -254. Suppose 3*p + p - z = 0. Calculate the greatest common divisor of 11 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 187 - 304. Let m be x\/(-6)*(-2)\/1. Let a(u) = 103*u + 3*u**2 + 2 - 103*u. Let r(c) = 19*c**2 + 13. What is m*a(d) + 6*r(d)?\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -2.2 (c) -1 (d) -0.3 (e) -12 (f) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 16, 3*d + 12 = 4*y + 4*d. Let n = 2 - y. Suppose -3 - 1 = k, -5*m - k + 3401 = n. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*u - 69 = -u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*r**3 - 2*r + 356 wrt r.\nAnswer: -9*r**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2. Let p(u) = -u**2 + 5*u - 4. Let v be p(5). Let n = v + 6. Let j(w) = 6*w + w - n*w. Give j(l(r)).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 726317363 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3891580912?\nAnswer: 2, 19, 233, 54941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.3169199 and -3.\nAnswer: -3.9507597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3712668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 1, 3, -36, 2, 111, -252?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*t + 141*t - 2*b + 26 = 0, -3*t + 6 = 5*b + 1 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b + 2*b**3 + 0*b - 2*b**2 - 2*b**3 + 2*b**2 + (-2*b + 0*b + 0*b)*(-2*b**2 + 0*b**2 + 0*b**2).\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3\/7))**28)**(-20)*(u\/(u*u**3))\/u**(5\/6)*(u**(-1\/2))**(3\/7) assuming u is positive.\nAnswer: u**(4955\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 896674 is divided by 448297.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 12:45 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000135916677 to six dps.\nAnswer: -0.000136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r - g + 4884 - 4925, -r + 2*g = -g - 83 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(963\/642*2\/6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9795 + 281 + 4*g + 4842 - 5*g - 3254 to s + w*g and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17346.\nAnswer: 2, 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -42491\/34 + 1250. Which is smaller: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-1*8 - 12*5\/(-21))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-65)\/(-20) - (-2)\/(-8). Let w be l*1*2\/6. Let v(h) = 18*h + 1. Is v(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1843*n + 114266 - 26869 = -88503 - 65533 for n.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -5 - 1. Let m(w) = -x*w**2 - 37*w + 37*w - 7. Let v(t) = -t**2 - 2. Let b(n) = -4*m(n) + 11*v(n). What is b(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100110111 (base 2) to base 14.\nAnswer: -183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 + 106*m - 224*m + 88*m + (-2 - 1 + 5)*(-2*m - m + 6*m) in the form w + l*m and give l.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 2 (b) 2\/3 (c) 32 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -23028830 to the nearest 1000000.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 395*g*i*l**3 - 70*g*i*l - 200*g*l**3 + g*l**2 - 4*g - 5*i*l + 4*i - 2*l**3 - 2*l wrt l.\nAnswer: 2370*g*i - 1200*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -96 - -102. Let x(g) = -2*g**2 + 6*g + 3. Let t be x(i). Which is smaller: t or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n**2 + 0 - 1 - 4*n**2 + 2 + n**3 + n. Let c(a) = a**2 - 5*a - 6. Let s be c(6). Let g be u(s). Solve -5*i - g = 4 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257567?\nAnswer: 17, 109, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8bd (base 15) in base 5?\nAnswer: 30403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 272391*l**6 - l**5 + 10*l**3 + 12119*l**2 + 19*l + 2?\nAnswer: 32686920*l**3 - 60*l**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2296*b + 1515. What is the ten thousands digit of q(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 21 - 6. Let w = l + 7. Suppose 4*j = 3*c + 3*j + 14, -j = c + 6. Sort c, 7, w in ascending order.\nAnswer: c, w, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -111 + 113. Let m be 8 - (3 + (4 - n)). Factor -m + 3\/2*k**2 + 3\/2*k.\nAnswer: 3*(k - 1)*(k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wwqqwq.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -509 in 0.4, -0.3, -2\/5, 2, 0.61, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((22 - 22) + (0 - -1) - -3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - (1 + 3\/(-4)). Let i = 966 + -966.3. Which is the nearest to x? (a) -4\/7 (b) 1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 3 l when four letters picked without replacement from {n: 2, l: 3}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - n + 4 = -b, 3*n - 6 = 0. Let m(h) = -h + 1. Let l(f) = 5*f**3 - f + 1. Let t(v) = b*m(v) + l(v). Factor t(s).\nAnswer: 5*s**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -1\/3, -3\/4, -0.1, 0.4, -3287?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-11\/3))**(2\/71) assuming n is positive.\nAnswer: n**(28\/213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -18 - -424017\nAnswer: 423999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(105) - sqrt(105)*-1))\/sqrt(7))\/(sqrt(500) - sqrt(500)*-4*1).\nAnswer: -sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 92699*q**2 + 3*q + 151935 wrt q?\nAnswer: 185398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t**2 + 10*t - 2. Let c be x(-5). Let w = c - 17. Suppose 5*h - 24 = w. Solve 0 = h*d - 4*d - 6 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 24 + 4 = 0. Solve o*t + 12 = 2*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-524)\/262)\/((-2)\/(-16))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*n + 9449 = 9299 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 20.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ix when two letters picked without replacement from {c: 3, x: 2, i: 4}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -i + 29, v + 3*i + 9 = 5*v. Suppose 2*b - v - 2 = 2*z, 10 = -2*b - 4*z. Find the first derivative of -b + f + 0*f + 0*f wrt f.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3660 = -3*r + 13*r. Suppose 0 = -34*z + 36*z - r. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2287a5 + 4?\nAnswer: 2287a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 368292 to the power of 1\/2, to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101382.\nAnswer: 2, 3, 61, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3*(4*-6*(sqrt(275) + -1) + sqrt(275) + 1 + 2 + (sqrt(275) + -1)*-2))**2.\nAnswer: -65250*sqrt(11) + 1554445","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -202 + 202.2. Let s be ((84\/10)\/7)\/((-1)\/5). What is the second biggest value in 5, c, s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 6) + 22 + 20 + -45?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 85 = -p. Suppose -p = -2*a + 75. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.862304 millennia?\nAnswer: 8.62304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1308\/(-1199))\/(6\/(-110)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 - 5 + 5)*(v + 2*v**3 - v).\nAnswer: 60*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5344444.5 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**2 - 893*q - 36550 = 0.\nAnswer: -850, -43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*x + 5*o, -3*o - 5 = -4*x - 8*o. Suppose 8*i - 537 - 191 = x. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - (-13 - (-6 + -9))) + -63 - -2?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**4 - 563210*r**3 - 15859711985*r**2 + 31721113620*r - 15860838420 = 0 for r.\nAnswer: -56322, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48.5 - -48.5. Put t, 1\/2, 1, 1.4 in descending order.\nAnswer: 1.4, 1, 1\/2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 15*i - 70. Calculate h(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 122 (base 4) to base 13\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.49258 days?\nAnswer: 42558912000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 4750723\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(126\/28) - 11\/3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3, -2.5, 1\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.1, 0.05, 1\/4?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a day in minutes?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, r: 1, y: 2, c: 1, a: 1, f: 2}. Give prob of picking 1 r, 1 y, 1 f, and 1 c.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 187924805?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5\/4)\/(n*n**(6\/11)*n*n))\/(n**(-5))**5 assuming n is positive.\nAnswer: n**(889\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 177 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -15*m**3 + 8*m**2 + 604*m. Let g(n) = -27*n**3 + 14*n**2 + 1209*n. Calculate -4*g(o) + 7*z(o).\nAnswer: 3*o**3 - 608*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4495 + -85403\/19. What is the second biggest value in 2, 0.145, v?\nAnswer: 0.145","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75*r + 51*r - 35*r + 0 + 2 to the form h + a*r and give a.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 29*b**3 + 324*b - 324*b + (-2*b + 4*b - 4*b)*(0*b**2 + 5*b**2 - 3*b**2) + b**3 - 1 + 0 + 2.\nAnswer: 26*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u and 1 d when four letters picked without replacement from {d: 1, u: 18}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, -580, 20 in increasing order.\nAnswer: -580, -5, -3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 + 259*r - 394. What is j(-131)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19b3 - 5?\nAnswer: -19b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 8 (c) 5\/101\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1582.880481ns to weeks.\nAnswer: 0.0000000000026171965625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (69 + -3)*(-3)\/6. Let l = 36 + g. Suppose -4*u - b + 17 = 0, -4*u - l*b + 18 = -b. Calculate the least common multiple of u and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -468*j + 468*j - 2*j**3.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -4 (b) -2 (c) 25 (d) 1\/15 (e) -59\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 66830339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7697214 by 427623.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of -5*v**4\/24 - v**3\/6 - v**2. What is the units digit of m(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 450874?\nAnswer: 2, 17, 89, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4253.00000328 + 4253. What is q rounded to 7 decimal places?\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.584434 rounded to 3 decimal places?\nAnswer: -0.584","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 2*t**2 - 14*t - 3. Let m(l) = 2*l**3 + 4*l**2 + 27*l + 5. Determine -5*d(b) - 3*m(b).\nAnswer: -b**3 - 2*b**2 - 11*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - u = -30, 2704*i = 2700*i + 2*u - 42 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -167*w + 178*w - 2640. Calculate the remainder when 49199 is divided by w.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.35 + 0.05. Let k = 9 - 14. Let u(f) = -f**2 - 5*f - 2. Let s be u(k). Which is the biggest value? (a) t (b) s (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 908*j**2 - 2*j + 1. Is 15 a factor of c(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -79*k - 733. What is the units digit of p(-14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157451 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 22*l**2 + 19. Determine z(4).\nAnswer: 371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 2 (c) -5 (d) -1\/2 (e) 6 (f) 1984\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 112034402 (base 5) in base 14?\nAnswer: d1193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2725980 and 960?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/3))**(-2\/31))**(-35)\/(((q*q**2\/q)\/q**(1\/4))\/(q**(-6)\/(q*(q\/(q**(-1\/8)\/q))\/q))) assuming q is positive.\nAnswer: q**(-6227\/744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b = 26*b - 168. What is the least common multiple of 75 and b?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8423 - -9331. Calculate the remainder when c is divided by 429.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 2, l: 4, c: 1, g: 5, t: 2, e: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 + 27. Let r be 3*12\/(-9) - 0. Let m be ((-2)\/r*-2)\/1. Which is smaller: l or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/21? (a) -14 (b) -0.01 (c) -0.2 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 8806232\nAnswer: -4403116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s - 1. Let z be u(-3). Let r(m) = 18*m - 8. Let a be r(5). Suppose -z*i + a = -18. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 - 33*v - 37. Is j(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23604 divided by -4?\nAnswer: -5901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p - 4. Let c be w(7). Solve 0 = -z + 5*q + 3, -c*q - 2*q + 6 = 2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -261 divided by -29\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2880 + 4109. Let s = -848 + m. Is 3\/(-12) + s\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127637597 rounded to the nearest 100000?\nAnswer: -127600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 + 23480*q - 23485.\nAnswer: 5*(q - 1)*(q + 4697)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4753117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 1 - 8 - (-4 - -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 + 582\/(-54))\/((-2)\/(-3)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75890701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7455\/3124*(-16)\/(-12) + (-4)\/22. Let f = -1 + 16. Solve f = -3*q + 2*w, -v*q - w + 5*w - 21 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 284182518 and 140709.\nAnswer: 8277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 66*k**2 + 13*k + 13. Let o be d(-4). Suppose 2*h - 186 = f + 497, 3*h + f = o. Is h a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -381, -1411, -3173, -5661, -8869, -12791, -17421?\n\"Answer: a**3 - 372*a**2 + 79*a - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -72, -366, -1154, -2682, -5196?\n\"Answer: -41*u**3 - u**2 - 4*u - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -9996 divided by 476\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7590 is divided by 245?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4723905048?\nAnswer: 2, 3, 23, 8557799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -121456752?\nAnswer: 121456755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2838793 + 118.14.\nAnswer: -2838674.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 21 = 6*v + g, -5*g = 4*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -5*c - 2*c + 0*c + 6*c + 63. List the prime factors of j(13).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 298.4 in -0.5, 3, 0.3, -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h + 24. Determine l(-16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31545\/11 or 2869?\nAnswer: 31545\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-10)*((-3)\/(1656\/(-230)))\/((-3)\/276).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 1 - 3 + 26*v to the form h + k*v and give k.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*a + 328, -a = -2*o - 131 - 185. Let u = o + 162. Suppose 0 = -3*v - 3 - 3. Sort u, v, 3.\nAnswer: v, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 19 + -30 - -15.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 - (-2 + 7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9428?\nAnswer: 2, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c - 20. Let v be i(-6). What is the third derivative of -3*u**4 + v*u**2 + 0*u**2 + 0*u**2 wrt u?\nAnswer: -72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.091655nm in centimeters?\nAnswer: 0.0000000091655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-3*(-2*sqrt(68) + sqrt(68)) + sqrt(68))**2 + -2) - ((1 + sqrt(68))**2 + -4 + 3*(sqrt(68) + (sqrt(68) - sqrt(68)*2 - sqrt(68)))).\nAnswer: -4409 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0393 - 296.0393. Let t = 296.00000119 + n. What is t rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 116*v - v**2 + 1 - v**4 - 427*v - 17*v**3 - 34*v**3 + 51*v**3 in the form y + t*v**4 + d*v**2 + m*v**3 + o*v and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/10*5\/(-2). Let c = -12.2 + 13.2. Sort c, -4, f in decreasing order.\nAnswer: f, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kxklxkkdvxkp. What is prob of picking 1 k, 1 d, and 2 x?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2328162.75 nanoseconds to days.\nAnswer: 0.000000026946328125","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Subtract -7 from -91.805523.\nAnswer: -84.805523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.91 less than -72?\nAnswer: -71.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = a - 12. Suppose -14 = -3*q + a*s - s, -16 = -4*s. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2109685705.\nAnswer: 5, 113, 139, 26863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 253213907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 3:42 AM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 2:31 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 136?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of v**6\/12 + 2*v**5\/5 - 107*v**4\/8 + 209*v**3\/3 - 149*v**2 + 140*v - 50. Determine m, given that c(m) = 0.\nAnswer: -14, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (33\/12)\/((-1588)\/31760)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by (-52)\/(-12) + 2\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2 + 1 - 4 - 3*d. What is b(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.02*-480.\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15783 and -6182?\nAnswer: 97570506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3188?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51 - -31. Let w be (1 + -11)*10\/q. Solve 4*f = w*f - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 1, 35, 14 in ascending order.\nAnswer: -9, 1, 14, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/1533 and 41\/464240.\nAnswer: 101668560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17360.038 and 0.4.\nAnswer: -6944.0152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 13044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(980) + -1 + sqrt(980))*4)**2 - -1*(sqrt(980) - sqrt(980)*1)) + 1 + (2 + sqrt(980))*-3.\nAnswer: -938*sqrt(5) + 62728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 19\/(-45) - (-8)\/36. Suppose 4*k + 0*k = 16. Let v be k + (-3 - (-28)\/(-20)). Put v, p, 5 in ascending order.\nAnswer: v, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 3:17 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n - 9. Let d(y) = y - 5. Let l(a) = 7*d(a) - 4*z(a). Let c(f) = -f. Let q = -1 - 2. Let s(x) = q*l(x) - 7*c(x). Determine s(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144 = -7*d - 158 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + (5*1 - (22 + -19))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h - 4. Let t = 16 - -7. Suppose o + 5*s + 10 = -t, 36 = -2*o - 4*s. Calculate n(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 e when two letters picked without replacement from {s: 2, v: 1, u: 1, e: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 + -5.8. Let b = k + 5.9. Which is smaller: b or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -16926, -0.043, 0.2?\nAnswer: -16926","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f + 8. What is q(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = i - 169, -t - 2*i - 70 = t. Calculate the common denominator of (-11766)\/1428 - (30\/t + 1) and -23\/178.\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1183320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of -11*b**4\/4 - b**3\/3 + 23*b + 73. Differentiate d(z) with respect to z.\nAnswer: -33*z**2 - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -195, -460, -831, -1308, -1891, -2580?\nAnswer: -3375","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n + 2. Let h(w) = 15*w - 62. Let o(i) = h(i) - 5*q(i). Let r(m) = -3*m + 48. Determine 5*o(b) + 8*r(b).\nAnswer: b + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 10:47 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p - 2. Let i be j(-2). Suppose -i*c + 23 = -9. Let o = 33 - c. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*b, 0 = -3*d + 7*d + 3*b - 2581. List the prime factors of d.\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c - 2*c**4 + c)*(56 - 56 + 9*c) + 9*c**5 + 3*c**3 - 3*c**3.\nAnswer: -9*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-6)*(o\/(o\/(o\/o**5)))\/o*o**(2\/5)\/o**(-6) assuming o is positive.\nAnswer: o**(-23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*r**4 - 25*r**2 + 28*r**3 + 2*r**3 + 17*r**4.\nAnswer: -5*r**2*(r - 5)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8*7\/42 - (1 + 1)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(65)*2 - sqrt(65) - sqrt(65) - sqrt(65)))\/(sqrt(25)\/sqrt(45)).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 81*s**2 + 70*s + 72. Determine r(-1).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -27 + 15. Suppose l*m + 11 = 2. Is m\/15 + 6580\/25 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -3*b + 6*b + c, 5*c = -4*b + 49. What is the remainder when 19 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1783 = -2*n - 63. Calculate the highest common divisor of n and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12056)\/425040*-46 + ((-8)\/(-5) - 3)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -313, -224, 25, 428, 979, 1672, 2501?\nAnswer: 3460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 0, 9, 26, 51, 84, 125, 174?\n\"Answer: 4*o**2 - 3*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -cee + b0bf?\nAnswer: a3d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*p + 2*p. Let j be 2\/(-2)*(p - -1). Suppose j*l = -2*l + 446. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2. Let l(x) = -849831831*x**2. Give n(l(k)).\nAnswer: -722214140980812561*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(3\/2)\/(y*y**2)*y*y\/(((y**6\/y)\/y)\/y)*y\/(y**(1\/6)\/y)*y*y*(y*y**2\/y*y**(-2\/7))\/(((y\/((y*y\/y**4)\/y*y))\/y*y)\/y**(1\/5)) assuming y is positive.\nAnswer: y**(26\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14790607 is divided by 91867?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -d**4\/12 + 10*d**3\/9 - 16*d**2\/3 + 32*d\/3 + 690. Factor o(k).\nAnswer: -(k - 4)**2*(k - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + -538773154.\nAnswer: -538773150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 1\/2, 3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4598 + 0?\nAnswer: -4598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20949\/(-10) + (1 - (-1)\/(-2)). Let f = m - -2086. What is the common denominator of f and -23\/7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11110 (base 3) to base 2.\nAnswer: 1111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 5*d**3 - 5700*d**2 + 1376335*d + 1382040 = 0.\nAnswer: -1, 349, 792","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/96 and 7\/7158?\nAnswer: 114528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of f**4\/12 - 3*f**3\/2 - 11*f**2\/2 + f. Let v be (-1 + -89)*(-140)\/175. Let g = v - 62. What is j(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-40)*u*u*u**(2\/151)*u assuming u is positive.\nAnswer: u**(-5434\/151)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w - 6*w - 6*w. Let t(n) = 7*n**2 - 5. Let x(b) = -8*b**2 + 6. Let q(s) = 6*t(s) + 5*x(s). What is q(z(l))?\nAnswer: 128*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40186377 is divided by 7375.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170 = y + 2*x, -4*x = -13 - 7. Let m be 12\/21 - y\/(-266). What is the closest to 0 in -0.4, m, -0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 23, 24, 25, 26, 27?\n\"Answer: o + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(3\/7)\/(u\/(u**(-2\/13)*u))*u**(-2\/39)\/u**10 assuming u is positive.\nAnswer: u**(-2669\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 12*i**2 + 12251*i + 159431. Give d(-13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**3*k**3*u - 225*f**3*k + 141*k**3*u + k**3 with respect to u.\nAnswer: -f**3*k**3 + 141*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2785473942?\nAnswer: 2, 3, 523, 887659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2783 - 2626. Solve 6*p = i - 169 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.2 - -0.2. Suppose 0 = -2*t + 6*t - 4. Which is the closest to t? (a) 2 (b) l (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1868743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 2:56 AM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + g = 2*g - 3, 0 = o + 5*g - 15. Suppose 2*d + 5 = -2*i - 1, o = -4*d + i + 3. Factor 1\/4*n**4 + 1\/4*n**2 - 1\/2*n**3 + 0*n + d.\nAnswer: n**2*(n - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31988 is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, s: 8}. Give prob of sequence gs.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9135062 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 203 a factor of 1611959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 - -19. Solve 0*p = 5*p + a for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99051 is divided by 5213.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66368 = -83*i + 35*i + 16*i. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifths of a meter in millimeters?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 46 - 27. What is the derivative of 76*v - 30*v - 2 - t wrt v?\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -70071, -70052, -70033?\n\"Answer: 19*c - 70090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 12\/8 - (-1623)\/(-42). Let g = u - -37. What is the biggest value in -0.4, g, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -593, 1, -0.0148, -3\/4 in descending order.\nAnswer: 1, -0.0148, -3\/4, -593","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l - 6. Suppose 25*k = 28*k - 6. Suppose w = -7*j + 3*j + 27, -k = 2*w. Suppose -2*y + 3*c + 18 = -j, 2*y - 5 = -c. Give v(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.13 + 13.87. Let y = l - 13.87. Let s = y - 0.1315. What is s rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 10*z + 6*z + 17*z - 21*z + 11*z**2 - 17 + 15. Calculate v(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 5, 1\/3 in descending order.\nAnswer: 5, 3, 1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ross when four letters picked without replacement from {o: 3, s: 5, p: 6, r: 1}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2855, -2, -1703, -1 in decreasing order.\nAnswer: 2855, -1, -2, -1703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 10. Suppose 3*x - 6 = 0, -3*y - 5*x + 8 = 34. Let t be q(y). Calculate the remainder when 84 is divided by t + -2 + (30 - -3).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 w when four letters picked without replacement from {a: 3, w: 4, z: 3, m: 3}.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46252.\nAnswer: 2, 31, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 22\/(-77) - 44\/(-7). Factor -14*m**2 - 25*m - 16*m**2 + d*m**2 - 32 - 4*m**3 - 23*m.\nAnswer: -4*(m + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j - 15*j = 3*q - 35, 0 = -3*q - 2*j + 37. Suppose -29*d = -q*d + 13*d. What is the nearest to d in 5, 24, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.6 - 180.6. Let u = v + 179. What is the third smallest value in -29, -1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50118892 and 492.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 130638?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 66.8 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**2\/8 + 68999974*t + 9521992824001352 = 0.\nAnswer: -275999896","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -315 + 531. Suppose -4*s + u = 2*r, 2*s - s = 2*r - 226. Let a(i) = -2*i**2 + 41*i - 43. Let z be a(19). What is the highest common factor of z and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o - 3 = -13*o. Let l(w) = 45*w**2 - w. Let f be l(o). Let u be 17\/(f\/(-16) - -3). Calculate the highest common divisor of u and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f + 4*w + 12, -f + 117*w - 7 = 265*w - 144*w for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in seven quarters of a microsecond?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = 349\/710?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -351*g + 358*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86679755?\nAnswer: 5, 23, 753737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine quarters of a week in hours?\nAnswer: 2058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**2\/11 + 426*i\/11 + 844\/11 = 0. Calculate i.\nAnswer: -211, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*a - 62*a + 6*a**2 - 76*a + 221*a - 120.\nAnswer: 6*a**2 + 11*a - 120","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1866 is divided by 208?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -588*a**3 - 746*a**2 - 141*a + 6. Let s(z) = -196*z**3 - 249*z**2 - 47*z + 2. Let r(c) = 4*p(c) - 11*s(c). Factor r(f).\nAnswer: -(f + 1)*(7*f + 2)*(28*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 0)*(2*y - 1 - 5 + 1).\nAnswer: -6*y + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(12) + sqrt(3)) - (sqrt(3) + (sqrt(12) + sqrt(3))*4).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 10*z + 6. Let i be r(-10). Solve 26 = -4*c + i for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - -0.2. Let p = -0.131 + 0.231. Which is the closest to s? (a) p (b) -3 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/(-5))\/(-4)*(-2)\/9. Let m = 3 + -5. Which is the third smallest value? (a) p (b) m (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -821.321 + -38123072\nAnswer: -38123893.321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 82 + 152 = 2*c, -3*z + 118 = -2*c. What is the least common multiple of 4060 and z?\nAnswer: 44660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 781667.9g?\nAnswer: 781667900000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1541, -3084, -4627, -6170?\nAnswer: -7713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 14*l + 16*l + 25 = 0, 0 = -4*h + 5*l + 13. Let r = 43 - 44. Which is the closest to r? (a) 2\/15 (b) 5 (c) h (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 70*d. Let v(h) = 14502*h**2. Give v(t(p)).\nAnswer: 71059800*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000082615 rounded to 6 decimal places?\nAnswer: -0.000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40807 is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -9 (b) -1 (c) -2 (d) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.3 (b) 0.09258 (c) -0.1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 38 = 2*b - t, -5*t - 115 = -5*b. What is the remainder when 5726 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116606968 and 21096.\nAnswer: 2344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 300221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 240 and 4638300.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 10 and -0.14781.\nAnswer: 9.85219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**4\/24 + 2*l**3\/3 - 2*l**2. Let k be j(3). Which is smaller: 1\/2 or k?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 314*v**3 + 318*v**3 - 638*v**3.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/2, -0.1, -3, 710.9, -2006, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i - 2. Let b(z) be the third derivative of -z**5\/60 + 2*z**4\/3 + 3*z**3\/2 + z**2. Let a = -3516 + 3514. Let y(f) = a*b(f) - 9*k(f). Factor y(w).\nAnswer: 2*w*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 7*a**3 - 24*a**2 + 11*a. Let k(w) = -3*w**3 + 12*w**2 - 6*w. Let r(v) = 11*k(v) + 6*z(v). What is the third derivative of r(b) wrt b?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 37*c - 1 + 22*c.\nAnswer: -15*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -79*t**4 + 2*t**3 - 550*t**2 wrt t?\nAnswer: -1896*t + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of -w**4\/3 - 160*w**3\/3 - 3337*w. Factor p(j).\nAnswer: -4*j*(j + 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + b9327?\nAnswer: b9329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (270\/(-75))\/2 + 407\/(-1110)?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1431 times -0.2\nAnswer: 0.22862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 62, -0.1, 3\/5, 8?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2 = -7. Let k be ((-2)\/(-3))\/(2\/y). Solve -3*f = 4*b + 11, -b = -3*f - k + 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6764943?\nAnswer: 3, 499, 4519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -21) + (29 - (-17 + 10)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t + 1012 - 1012. Let u(p) = 866*p**2. Calculate u(s(b)).\nAnswer: 3464*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - -2. Suppose -4*k = -0*k + b. Let l be -2 + -2*(3\/6 + k). Solve 18 = -3*p + 7*p - l*r, 4*p = 5*r + 22 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -8*n**2 + 3*n + 36. Let h be g(-5). Let o = -137 - h. What is the highest common factor of o and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - 3*f - 1, 2*f + 0*f - 12 = -5*d. Suppose -57 - d = -h. Is 20 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - j + 26 = 5*s, 4*s - j = 20. Suppose -o + 20 = -s. Does 17 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) -623 (b) 2\/9 (c) -3\/4 (d) 4.5 (e) 14 (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 30 = -12*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -13151220 (base 6) to base 8\nAnswer: -1520434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 334639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 9 - 5 = 0. Suppose -3*k = -5*c - k + g, 2*c - 2*k = 4. Suppose -4*a = -3*l - 2*a + 40, -a + 1 = c. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 193*d + 36. Let l be ((-147)\/(-63))\/((-2)\/(-6)). What are the prime factors of b(l)?\nAnswer: 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 2*j**2 - 5*j + 8. Calculate x(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22*j + 42*j + 8*j)*(-2*j**3 - 279824 - 2*j**2 + 60*j + 279824) to k*j**3 + x*j**2 + y*j + z + g*j**4 and give x.\nAnswer: 1680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lhuwlkwh. What is prob of picking 1 l, 1 k, and 2 w?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/(-220) + 225\/693.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 615676 <= 615604?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -11, -5, -72 in increasing order.\nAnswer: -72, -15, -11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lfllllfllll. What is prob of picking 3 l and 1 f?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135 + 165 = -12*q for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 45*n**2 + n + 1. Let k(x) = 2*x**2 + x. What is 3*k(m) - y(m)?\nAnswer: -39*m**2 + 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 n when four letters picked without replacement from {n: 5, t: 5}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a millennium in years?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v**5\/3 + 4*v**4 - 1813*v**3\/3 - 1252*v**2 + 5412*v + 10944 = 0. What is v?\nAnswer: -48, -3, -2, 3, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 31260195 to the power of 1\/2, to the nearest integer?\nAnswer: 5591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - 1) + 1 - 0. Suppose 0*r - r + b = 0. Suppose 5*f = 2*g + 3*g - 15, 12 = 5*g - r*f. Which is greater: -2\/11 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 196.66911 to 1 dp.\nAnswer: 196.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 577 (base 14) in base 16?\nAnswer: 43d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.694 and -36.236?\nAnswer: -61.383784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u - 2*u + 4*u)*(843*u + 126*u - 104*u).\nAnswer: -1730*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7472467 * 0.5\nAnswer: 3736233.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -10625, 2.\nAnswer: -10625, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50 - -53. Let o(l) = -2*l - 4. Let z(i) = -5*i - 7. Let j(p) = f*z(p) - 7*o(p). Suppose -182*c = -179*c - 15. What is j(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1191 times -2?\nAnswer: -2382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-74 + 56) - 47.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 59\/(-118)*-3*2\/5.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - -1. Suppose 4*g - 3*g + 3*a = 62, a + 1 = 0. Suppose -9*r = -x*r + g. Is r greater than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 + 21 - (-8)\/(-6)*(-12)\/(-8) is divided by 19?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5379, -5300, -5211, -5106, -4979, -4824, -4635, -4406?\nAnswer: -4131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22859?\nAnswer: 22859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4609, -4608, -4621, -4660, -4737, -4864?\nAnswer: -5053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m - 151. Let z(t) = 10854*t. Calculate z(f(s)).\nAnswer: -10854*s - 1638954","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22380 is divided by 645?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 7*w = 1389. Let q = -193 + w. List the prime factors of (-60)\/q - (-1 - (-911)\/(-9)).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2272, -4480, -6586, -8560, -10372, -11992, -13390?\nAnswer: -14536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*o + 5 - 19 + 5 + 8 + 4.\nAnswer: -11*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -483*m - 17 - 484*m + 5*m**3 + 1947*m - 488*m - 489*m to the form z*m + t*m**3 + i*m**2 + d and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**4\/19 - 906*g**3\/19 + 102066*g**2\/19 + 141194*g\/19 - 4328436\/19 = 0. What is g?\nAnswer: -7, 6, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 4*u - 28. Suppose q - 26 = -u. Let f = q - 0. Calculate the least common multiple of f and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/11 in 5, 4, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 4 = 16. Suppose 169 = -c*a + 179. Solve g = -a + 9 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*i - 490, 3*i - 735 = -1508*x + 1507*x. What is the least common multiple of i and 1127?\nAnswer: 5635","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5 and 6660174?\nAnswer: 6660174.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 47189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 675871296 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 4*g + 2 = f, 2*f = 4*g + 14 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**3 - 3*s**2 - 9*s - 2. Calculate y(5).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000537109 rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 10. Solve -1 = -k + z for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*i - 36 = 0. Let f(m) be the second derivative of 0 - 6*m + 1\/3*m**3 + m**2. Let p(y) = 8*y + 8. Calculate i*f(s) + 2*p(s).\nAnswer: -2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 715455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6697554.6100362998 - -100.3899077002. Let d = -6697630 + f. Let c = d + -25. Round c to 5 dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -61 and 0.5.\nAnswer: -30.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9727 seconds in hours?\nAnswer: 0.00082575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b + 1. Let t(a) = -18*a - 28. What is 8*g(m) - t(m)?\nAnswer: 2*m + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1835712 is divided by 611865.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -8.\nAnswer: -8, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - 27*a + 9. Calculate p(12).\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + r + 791. Is q(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-1)*((-1232)\/(-44) + -29)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/10 + (-52)\/(-20). Suppose -d = j - 4. Find the third derivative of -2*v**d - 4*v + 4*v + 5*v**6 - 3*v**6 wrt v.\nAnswer: 240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 5. Let u(v) = v - 4. Let a be u(3). Let h = -1 - a. Solve h = 2*y + t*y - 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -586*o - 7. Is g(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.2985989ns in hours?\nAnswer: 0.00000000000119405525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -p + 2. Put 5, p, 1 in decreasing order.\nAnswer: 5, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 11153?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 times -0.056212356?\nAnswer: 0.00168637068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, u: 3, d: 12}. What is prob of sequence zz?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5850, 11701, 17552, 23403, 29254?\nAnswer: 35105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6051031432 + 1?\nAnswer: 6051031433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -298457\/18 + 16576. Calculate the common denominator of v and ((-13)\/(-4))\/((-4)\/6).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5509813 millennia to years.\nAnswer: 550.9813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8b5 + 3db99?\nAnswer: 3d2e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 8 + 12 = 0. Suppose -c*a = a - 258. What are the prime factors of a?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, v: 2, s: 1, n: 1, o: 2, k: 1}. What is prob of sequence ssko?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1635, -1636, -1637, -1638, -1639, -1640?\nAnswer: -1641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1931032 and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sst when three letters picked without replacement from sxsgugxultxg.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvuppvdpvpgogpvpd. Give prob of picking 1 o and 2 d.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1983091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -4.1. Let w be 187\/9 - 10\/(-45). What is the closest to g in -1, w, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 8 - 3494*d**2 + 3531*d**2.\nAnswer: 37*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 - 13*j**3 - 48.\nAnswer: -13*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 3009. Let l(a) = -2*a. What is c(l(y))?\nAnswer: 4*y**2 + 3009","meta":{"dup_signals":{},"source":"polynomials__compose_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: Divide -119016 by 4959.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.39 - -0.11. Let p(n) = -3*n**2 + 2*n. Let r be p(-1). Let w be ((r - -3)\/(1\/(-2)))\/10. Which is the smallest value? (a) s (b) -0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -38*(-8 + 15 + ((-30)\/4)\/1). Solve 3*b - 201*p + 196*p - 31 = 0, -5*p = 3*b + u for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -132? (a) 31 (b) 3.49 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c707 (base 14) to base 10.\nAnswer: 72723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -c + 56, 2*d + 5*c - 64 = -d. Solve 5*b - d - 10 = 2*h, -5*h - 36 = -4*b for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 10. Which is the closest to -1? (a) -0.4 (b) x (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11922359 - -11922364.0000045. Let r = 5 - l. Round r to seven dps.\nAnswer: -0.0000045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -632 by -158.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -4. Suppose -4*j - 8 = -2*m, 2*m + j + 2 = 5*m. Calculate the least common multiple of a and (-4 + m)*-1*1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 743 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 -k**3\/3 + 1657*k**2 - 2745649*k + 4549540393\/3.\nAnswer: -(k - 1657)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + 5*f**2 - 5. Let r = -20 + 25. Determine y(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -519 - -332. Let w = -186.99759 - p. Round w to 4 decimal places.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 4\/7 (b) 2 (c) -0.244 (d) -2 (e) -3\/5 (f) 4.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 18*k**2 + 13*k + 82. What is z(19)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 103757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(5\/6)*(m**(-6)\/m)\/m*m**(1\/2)\/m**(-5\/2))\/((m*m**(-6))\/(m*m\/m**(-8)))**(4\/13) assuming m is positive.\nAnswer: m**(-17\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -1. Let p = 11 + z. What is the least common multiple of 3 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -281, -299, -333, -389, -473, -591, -749, -953?\n\"Answer: -a**3 - 2*a**2 - 5*a - 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -0.8. Let v = -1.9 - 0.1. What is the nearest to 2\/7 in v, b, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 872115.\nAnswer: 3, 5, 53, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - ((-21 - -2) + (10 - 4)) - 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16.02 + -16. Let w = 0.38 + l. Let h = -2\/1199 - 1193\/3597. Which is the third smallest value? (a) h (b) -2 (c) -5 (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000038863 rounded to 7 decimal places?\nAnswer: 0.0000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = a. Solve 0 = -p + 5*g - 25, a*p + 4*g - 20 = -2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205*s - 212*s - 10008 = 0 for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(2\/(-1) + -2). What is the second smallest value in 7, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 165559 (base 12) to base 11.\nAnswer: 241569","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -260 + 981. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m**3 + 2 - 2)*(-2 - 12 + 5)*(m + 4 - 4).\nAnswer: -54*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from raaeqara. Give prob of picking 1 r, 1 e, 1 q, and 1 a.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -125, -247, -367, -485, -601, -715?\n\"Answer: x**2 - 125*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 155040 and 20368.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21001383 and 221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -649 divided by 143\nAnswer: -59\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 11, r: 2}. Give prob of picking 3 u.\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 1. What are the prime factors of (6*x)\/(-2)*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 - 560\/92)\/(1\/62). Let x = m + 472\/207. Let n = -326\/51 - -3217\/357. Calculate the common denominator of x and n.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 6) in base 14?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8636 + 112428\/13. Let y = m + -1929\/143. Find the common denominator of 1078\/(-126) + (-2)\/(-6) and y.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(-1))**(-2\/39))**(-34))**40 assuming c is positive.\nAnswer: c**(5440\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8274?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1207*x**5 + 9*x**2 + 12*x + 49?\nAnswer: 24140*x**3 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 273636474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -93, -42, 35, 132, 243, 362, 483?\n\"Answer: -w**3 + 19*w**2 + w - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 78.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, k: 5}. Give prob of sequence kooo.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 - -30. Suppose -74 = -c + 18. Let y = c - w. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d**2 - 24*d - 11. Let z be p(-4). Suppose -3*m - 19 = -5*t + z, 0 = -3*t + 4*m + 35. Solve t*l - 6 + 1 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3191?\nAnswer: 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 5*v**4\/8 - 1147*v**3\/8 - 2167*v**2\/8 + 73815*v\/8 - 14553\/4 = 0?\nAnswer: -9, 2\/5, 7, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -357 - -2495\/7. Which is greater: -2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27865.7 millilitres in litres?\nAnswer: 27.8657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 1117 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8.5 or 24\/61?\nAnswer: -8.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 times -0.196?\nAnswer: -64.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.23 * -7401.\nAnswer: -1702.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 57825 and 4799475?\nAnswer: 4799475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-21)*j**(6\/5)*j assuming j is positive.\nAnswer: j**(-94\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8857939 and -0.02?\nAnswer: -177158.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 8, o: 6, c: 3}. Give prob of sequence docc.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 21*b**2 - 38*b - 2. Suppose 148*u + 384 = 25*u - 1953. Calculate w(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 22*b**3 - 5*b**2 - 5. Let x(y) = -33*y**3 + 8*y**2 + 8. Determine -8*p(u) - 5*x(u).\nAnswer: -11*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 4:36 AM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**5 - 2*f**5 - 3*f**5 + (-5*f**3 + 4*f**3 + 8*f**3)*(-4*f**2 - 2*f**2 + 5*f**2).\nAnswer: -10*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9955.\nAnswer: 5, 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 1838 = 1842 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 772207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 + 2 - 2)*(-8*x**3 - 7*x**3 + x**3) + (-2*x + x + 3*x)*(0*x**4 - x**4 - x**4).\nAnswer: -32*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -72, -80, -90, -102, -116?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 722 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 82428 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a (base 15) in base 14?\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 14955 - -19?\nAnswer: 14974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1865833 is divided by 621930.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*w + 32*w - 22*w + 23 + 2 in the form c + b*w and give c.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 15 - 8)*(-3*r - 4*r**2 + 3*r)*(4*r + 0*r - 6*r) to h*r + v*r**2 + u + g*r**3 and give g.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7279 or 29743?\nAnswer: 29743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 0) + 3 + -5 - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18569?\nAnswer: 31, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/2 of a meter?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d**3 + 22 + 3*d**3 + 18*d - 2*d**2 + 11*d**2 + 5*d**2. Let v be m(15). Let x = v - 59. Calculate the least common multiple of x and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1\/12)*x*x)**1 assuming x is positive.\nAnswer: x**(35\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.938 rounded to 0 decimal places?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1278\/11 or 5370?\nAnswer: 5370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 116 - 119. Let h = -2.1 - -2. Let l = -0.1 + h. Is l less than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2310 by 3.\nAnswer: 770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125032 divided by 31258.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21616 divided by 56.\nAnswer: -386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s = -12*t - 162, -945*s - 2*t - 12 = -949*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (122 + -206 - -116) + 10\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mo when two letters picked without replacement from {o: 1, v: 3, m: 1, n: 11, d: 2, g: 1}?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64634 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(84) + sqrt(84))*-6 - (sqrt(84) + (sqrt(84) - 2*1*sqrt(84)) - sqrt(84)))\/((sqrt(12) - sqrt(192))*-1 - 5*sqrt(108)))**2.\nAnswer: 7\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203*f**3 - 371*f**3 - 272*f**2 + 64*f**2.\nAnswer: -574*f**3 - 208*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3339 and -4.691.\nAnswer: -5.0249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 + (-331489)\/2)\/(394\/(-788)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 37\/(-5)*4\/(-2)*3*(-40)\/(-48)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - -3. Suppose -t = -3*s - 5*l, -s - l + 59 = 3*s. Suppose -2*r = -r - s. Calculate the greatest common divisor of r and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -35 + 29 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 3\/19, -6\/5, -0.1, 2\/13?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7445*t + 7417*t - 108343200 = 0. What is t rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l + 15 = -12*l. Suppose -4*u = -l*u - 3. Suppose 2158 = 2*m - x, 2*m = -m - u*x + 3219. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -17\/2 (b) 5 (c) 4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*a - 3 + 15. Let u be ((-7)\/(-14)*-4)\/(2*a). Which is smaller: -0.6 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 41 (b) 759 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2626.4 to the nearest ten.\nAnswer: -2630","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579 a factor of 55136441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -32268 greater than or equal to -32273?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y**2 - 2*y + 8*y + 4*y**2 + 3*y**2. Suppose 3*f - 1 + 16 = -3*l, 20 = -3*l + 2*f. Does 18 divide p(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k + 1. Let s(t) = 3*t**3 + 3*t**3 - 1 + 5*t + 6 - 5*t**3. Let o = -9 - -7. Calculate o*s(p) + 10*d(p).\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 8*m**2 + 6*m + 8. Suppose 0 = n - 7 - 0. Suppose 0 = 5*i - 6*i + n. Let q be r(i). Which is greater: 2 or q?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 - (9 - -2 - (49 - 43) - -7).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -942 at most -941?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5246*j - 141 = 5241*j + 4*h, -3*j - 5*h - 126 = -h - h for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 7*x + 1. Let b = -53 - -54. Determine g(b).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) - (5 + (sqrt(98) - (sqrt(98) + (sqrt(98) - (sqrt(98) + 1)) + sqrt(98) + sqrt(98)))))**2 + ((-1 + sqrt(18))**2 - (sqrt(8) + 1*sqrt(8))**2).\nAnswer: -258*sqrt(2) + 905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 7 + 1)*(-y + 5 - 5 - 2*y + 3*y + 0*y + (3*y + 3*y - 7*y)*(-3 + 0 + 2) + 8*y - 5*y + 3*y)*(28 - 5 - 12).\nAnswer: -154*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*j + 4864 = -33*j. Calculate the remainder when j is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nhnnnnhnhn. What is prob of picking 1 n and 2 h?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, -1789, 5, 349, -2\/3, 2, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2118 + 1103. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 208*a**2 + a**4 - 412*a**2 + 205*a**2 + 2*a**3.\nAnswer: a**2*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 - m - 9. Let s be l(0). Let r = -5 - s. Suppose -4 = r*x, j - 2*x - 5 - 7 = 0. Does 10 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 387, 940, 1661, 2550, 3607, 4832?\nAnswer: 6225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n = -4*n + 12. Let l be (-315)\/(-14) + 2 + n\/2. Let m(v) = v**2 - 22*v - 14. Let r be m(l). Solve -r = 2*q - 1 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-18)*1)\/(6\/8). Solve 16\/3*y**3 + 2\/9*y**2 + 32\/9*y**4 + k - 4\/3*y = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/4 + 0 - (-1)\/(-2). What is the second derivative of -4*q**4 - 28*q**5 + 7*q**4 - a*q**4 - 23*q wrt q?\nAnswer: -560*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8, 8, 22, 56, 116, 208, 338, 512?\n\"Answer: o**3 + o**2 - 10*o + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4761.14 and -0.2.\nAnswer: -952.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205448*j - 410884*j + 425*j**2 + 205436*j.\nAnswer: 425*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + l - 13. Suppose 19 = -3*i - d + 5, 3*i + 5*d + 34 = 0. Let o = i - l. Calculate the remainder when 29 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(156\/(-268)) + 2\/(-13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**2*v*v)**(1\/10))**(-4) assuming v is positive.\nAnswer: v**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - -1 - ((41 - 44) + 102)) + -3?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*g - 14 = -8*g. Solve 4*i = g*t - 2*t - 10, -4*t - 3*i - 23 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2\/9, -3, 1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 35 = 7*t + 167 for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ogf when three letters picked without replacement from fxfffgofffffoxfxfffg.\nAnswer: 13\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 3*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4272 - -7.78?\nAnswer: 4279.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 + 8*x**2 + 3. Let r(g) = 2*g + 1 - 1 - 8 - 6. Let z be r(11). What is the smallest common multiple of d(z) and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 24*a + 14. What is w(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 4*r**2 - 4. Let z(b) = -b**3 - 12*b**2 + 13*b - 4. Let h be z(-13). Calculate n(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lcdcdldplgop. What is prob of picking 1 g and 1 c?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.0264 and 1659796.\nAnswer: 1659793.9736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/65 and 61\/15.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, z: 3, w: 2, n: 5}. Give prob of sequence in.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + -3b?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence opp when three letters picked without replacement from jjprojbpoprojorprro.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-3) + 1\/3. Suppose -c + 4 = -0*c. Suppose 5 = -3*m - 2*i, -c*i = -2*m - m + 1. Sort m, y, -3 in decreasing order.\nAnswer: y, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -6*n - 18. Let z(u) = 1. Let q be (5 - 0)\/((-34)\/(-17))*48\/(-60). Calculate q*y(j) - 36*z(j).\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 4*x**2 - 4*x + 20. Is p(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 4*i - 11, -5*i + 8 = -0*i - 2*t. Let k(z) = -22*z - z**i + 16 + 22*z. Calculate the smallest common multiple of 18 and k(0).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 85169470 to the nearest 10000.\nAnswer: 85170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1491 + -0.15. Round a to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -30*o**2 - 26*o**2 + 14*o**2. Let c(t) = 2*t**2 + t. Let m(g) = -18*g**2 - 8*g. Suppose -9*f = -0 - 9. Let n(i) = f*m(i) + 8*c(i). What is b(n(d))?\nAnswer: -168*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -7, 10, -2, 1 in decreasing order.\nAnswer: 10, 4, 1, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -109.6 - -121. Let k = -11 + s. Let m = -0.3 + 0.4. Which is the smallest value? (a) -4 (b) m (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -0*w - 12, 2*c - w - 87 = 0. Suppose 2*g - 5*z - 60 = -3*g, 0 = -5*g - z + c. What is the remainder when 25 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = c - 12. Suppose -c*l + 5*o + 30 + 32 = 0, -3*o - 19 = -l. Is l a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(468) - sqrt(468))\/(sqrt(64)*1)*3*5.\nAnswer: -45*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2883 - 1700*k - k**3 - 2883 - 2059*k)*(4 - 1 - 1) in the form h + z*k + d*k**2 + w*k**3 and give z.\nAnswer: -7518","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p - 13956 = 8*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cpccycyyyycqccpycyyc. What is prob of picking 1 c, 1 p, and 1 q?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7 + -4)\/(-3) - -3. What is the highest common divisor of s and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 3*t**2 + t**4 + 3*t + t**4 + 9*t**4 - 14*t**4 to y*t**4 + r*t**3 + w*t**2 + i + f*t and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*z + 366*z - 492 = 179*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 10 = -9 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 - 109. Let v = 53 + y. What is the greatest common divisor of v and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5727051276 rounded to three dps?\nAnswer: -0.573","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u + 4*u**2 + 2*u - 3*u**2 + 3*u**2 to c + r*u**2 + s*u and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58, -539, -1838, -4363, -8522, -14723?\nAnswer: -23374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2297817 is divided by 22094.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*q + 95*q + 55 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a. Let j(v) = -3. Let p(c) = 3*f(c) + 6*j(c). Let s be p(7). Solve s*h - 4*u = 1 - 3, -5 = 3*h - u for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**3 - b. Let n be d(1). Let q be 192\/9 + n\/9. Calculate the greatest common factor of 21 and q.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101614 is divided by 6348.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5*s = -n - 11, -5*s + 2*n + 30 = 0. Let r = s - 7. Suppose y - 3 - r = 0. Solve -2*a + a = y for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 80, 933, 3296, 7943, 15648, 27185, 43328?\n\"Answer: 129*u**3 - 19*u**2 + 7*u - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 21*x**3 - 18*x**2 + 29*x - 18. Calculate i(2).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -100.95 + 103. Let g = q - 0.05. Let p = -628\/5 - -126. Put g, p, 2\/7 in decreasing order.\nAnswer: g, p, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 6 + 0 = 0. Let v(r) = r**2 + 3*r + 3. Let u(o) = 3*o**2 + 8*o + 8. Let q(c) = t*u(c) + 8*v(c). Let p(i) = 2*i**2. Give q(p(z)).\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 153351 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42*f + 18*f + 6*f.\nAnswer: 66*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 + 13 = 7*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/4 + 1437*p\/4 - 360.\nAnswer: 3*(p - 1)*(p + 480)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 75\/15 - 16\/3. What is the smallest value in 0.07, -3, g, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 + 5*m + (-5 + 4 - 1)*(-5 + 5 - 12*m).\nAnswer: 29*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15835 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42867026?\nAnswer: 2, 101, 137, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ncyy when four letters picked without replacement from {n: 2, y: 2, c: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -18. Let k(g) = -9*g**3 + 21*g**2 - 6*g. Let n(m) = -m**3. Let o(y) = v*n(y) - k(y). What is i in o(i) = 0?\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 1\/5740 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 987?\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35158.\nAnswer: 2, 17579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1109 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**2 - b + 7. Give u(4).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f**2 + f - 1. Let n be u(1). Suppose 2*s + 4*a + 0 = n, 0 = 4*s - 4*a - 20. Solve -2*m = -0*d + s*d + 6, -5*d = -3*m + 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -b**6\/20 + b**4\/24 - b**3\/6 - 34*b**2. Calculate o(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express f**2 - 130 - 2*f**2 - 15*f + 36*f - 18*f - 14*f in the form c + q*f + a*f**2 and give c.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 139 - 143. Let v = 1 + -1.1. Let t(i) = i - 3. Let x be t(0). Which is the nearest to -0.1? (a) h (b) v (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-1 + 5 - (2 - -5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -3 (b) -8 (c) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 740?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/8 (b) 8 (c) 468318\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -l**7\/1260 - 3*l**4\/2 - 14*l. Let f(s) be the third derivative of h(s). Let x(m) = -7*m**2. Determine f(x(q)).\nAnswer: -98*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -5*b, 4*u - 3 = 5*b + 22 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 5*r**2 + 52*r - 63. Let d(i) = 2*i**2 + 17*i - 21. Let n(w) = -8*d(w) + 3*t(w). Let z be n(18). Calculate the highest common divisor of 3 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 67\/5 of a gram?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 295 divide 9572455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**3\/3 + 1058*v**2\/3 + 147518*v\/3 + 660490 = 0. Calculate v.\nAnswer: -257, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195104134*a**2 + 612*a - 612*a - 195104140*a**2.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**5\/9 + 20*p**4\/9 + 8*p**3 + 12*p**2 + 6*p = 0 for p.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**5\/3 + 77722*w**4\/3 + 671405676*w**3 + 5807424504258*w**2 + 144766388730825*w = 0.\nAnswer: -25899, -25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 15920250 to the nearest 100000.\nAnswer: 15900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -583*q**2\/2 - 41*q - 49. What is the tens digit of m(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 11\/93343?\nAnswer: 11\/93343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -3*n - 8. Let a be t(-10). Suppose a*o - 130 = 20*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.23486 - 0.23486. Sort f, 0.3, 2.3, 1, 0.02 in descending order.\nAnswer: 2.3, 1, 0.3, 0.02, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 602*v**2 + 2784*v + 1623*v**2 - 2784*v to g*v + n*v**2 + a and give n.\nAnswer: 2225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -6 - (-10 + (1 - -6) + -6)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141943 is divided by 1259.\nAnswer: 935","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(5)*2)**2*2*-6*4.\nAnswer: 960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 617247864?\nAnswer: 2, 3, 293, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*z + 3*i - 256, 0 = i + 4. Calculate the remainder when 382 is divided by (-176)\/z*(-1 + -5).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -455*y - 810 = 2375 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1001000 (base 2) to base 8\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*j + 31, -2*z + 2 = j + 1. Let v be 3*(3\/1 + z). Solve -v*r - p + 0 - 2 = 0, 2*r + p = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -114 - 296. Let s = -409.99402 - d. Round s to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c + 3. Suppose 0 = -j - 2*j + 24. Let x(q) = 5*q + 8. Give j*z(l) - 3*x(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 2*a + 8, 11*a + 9 = 87*x - 88*x for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*n + 18*n. Suppose -4*i + 7*i - 3 = n. Does 14 divide i*(-1 + 1 + 37)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -40 and 5589?\nAnswer: -223560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 + 38. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 181*g + 2048. What is a(-11)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (7 - (6 - 7 - -8))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/(-16))\/((-108)\/1296).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -n**6\/260 - 4*n**5\/195 + n**4\/39 + 2*n**3\/3 - 1. Let x(k) be the third derivative of f(k). Find c such that x(c) = 0.\nAnswer: -2, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 6*o**2. Let u(r) = -4*r + 1. Determine y(u(t)).\nAnswer: 96*t**2 - 48*t + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/8710092 and 13\/1854.\nAnswer: 8710092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 6254?\nAnswer: 68794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*l + 5 = -13*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*s = 34*s + 178*s + 5864 - 25880 for s.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (86\/1032 + 1634\/(-24))\/(-3 - (-22)\/6).\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.82296 months in decades?\nAnswer: 0.081858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x - 4. Let p(a) = -3*a - 4. Let h be p(-3). Suppose 4*n = 2*g + 16, -h*n - g = -2*n - 7. Let d(j) = -j - 3. Calculate n*d(v) - 2*r(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 19 - 218*y**3 - y**2 + 457*y**3 - 234*y**3 + (-4 + 0 + 5)*(-3*y**3 + 3*y**3 - 2*y**3).\nAnswer: 3*y**3 - y**2 + 19","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 530*a**2 - 7*a. Let d(n) = 1059*n**2 - 14*n. Let i(w) = 3*d(w) - 5*t(w). Find the second derivative of i(j) wrt j.\nAnswer: 1054","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1160015 - 0.3?\nAnswer: -1160015.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 4509.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -13*x**2. Let a(l) = -950*l**2 - 675*l - 225. Let v(u) = -17*u**2 - 12*u - 4. Let n(o) = 4*a(o) - 225*v(o). What is b(n(z))?\nAnswer: -8125*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from seesensannyssysee. What is prob of sequence as?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0472 + -0.1528. What is the biggest value in d, -3\/2, 2\/3, 0.3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 3744 = 13*x. Let y = -180 + x. What is the least common multiple of y and 27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -i + 6*i - 3*u, 3 = -i + 4*u for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 - -25. Let d = 0 - 0.1. Which is greater: w or d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 p when two letters picked without replacement from {g: 6, t: 2, f: 3, p: 1, d: 4, s: 4}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -16*v**2 + 1144*v + 5743. Determine p(-5).\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*f + 96*f = -6240 for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 30\/15)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11494839?\nAnswer: 3, 17, 257, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -15, -10 in increasing order.\nAnswer: -15, -10, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8913 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one sixths of a century in months?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(-3\/20)))\/(v*v**6))\/(v**10*v*v\/(v*v*(((v\/(((v**(3\/13)*v)\/v)\/v*v)*v*v*v*v*v)\/v)\/v*v)\/v)) assuming v is positive.\nAnswer: v**(-3401\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1232577 times -0.1\nAnswer: -123257.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0139089953 rounded to five dps?\nAnswer: 0.01391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of -7*q**4\/12 + 4*q. Let g(i) = -i. Let h(o) = 4*o. Let k(u) = 6*g(u) + h(u). Give p(k(f)).\nAnswer: -28*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 18.3794619\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m**3 - m**3 + 12*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 736 = -3*j, m + 5*j + 165 = -36. Which is greater: -182 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16562644\/9 = 1840295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 5) in base 12?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8951 - 6589 + 4096 + 4795 - 10589)*(-3*g**2 - g**2 + 2*g**2) to m*g**2 + r*g + a and give m.\nAnswer: 34476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -57\/4 + 14. Put s, -5, 2 in descending order.\nAnswer: 2, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6632 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssvssssnsasssvsnsss. Give prob of picking 2 s and 1 v.\nAnswer: 182\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -17. Suppose -q - x = -3*q. Suppose -j = 5*w - q, j - 2*w + 12 = 2*j. Solve 0 = p + 2*p - z + 1, 0 = 4*z - j for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00012263 to five decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8 - 32*k - 8)*(3*k - k - 2 - 3*k) + k**2 + 0*k**2 + k**2 to m*k**2 + p*k + i and give m.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 9. Suppose 3*l - 6*l = -i. Suppose 2*n + 8 = -w, n = -w - l*n - 18. Solve -3*b + 3 = -w*k - 7, 8 = b - 3*k for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 0 = 215. Let f(n) = 2*n**2 - 3*n + 50. Let k(i) = i**2 + 11*i + 17. Let j be k(-3). Calculate the remainder when f(j) is divided by y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 649?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 471*s + 22 = -5*u + 468*s, -2*u = 4*s + 6 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 102 = 3*q - 5*a, -93 = 3*q - a. Let t be (-16)\/(-10) - -4*(-3)\/q. Sort -5, t, -109 in ascending order.\nAnswer: -109, -5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99794 is divided by 3110?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 213 + -206.31. Round z to one decimal place.\nAnswer: 6.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v - 762. Determine u(-47).\nAnswer: -668","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 4*t**2 + 12. List the prime factors of y(-6).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 3*a**2 + 5*a - 1. Suppose 5*l - 2*p + 26 = 4, 0 = 2*l + p + 7. Calculate f(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 201 = 4*m + 2*w, -144 = 4*m - 4*w. Let z = m - -41. Let g(a) = a**z + 0 + 8*a + 0 - 7. Calculate g(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -213102 - -6?\nAnswer: -213063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 + 15)\/(3\/2). Suppose 2*m - 3*m - 4 = 0, -p = m - n. Is p*(-2)\/(-2*2) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/22 - -37\/154. Sort 2\/113, 5, o in descending order.\nAnswer: 5, o, 2\/113","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -w. Let k(v) = -v**3 - 2*v**2 + 2. Let b be k(-2). Suppose 7*f + 2*n = b*f + 55, -3*f + n + 22 = w. Does 9 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 199946 to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -15*x - 10. Let s(p) = p + 1. Let o(f) = -3*d(f) - 30*s(f). Let h(y) = -y. Give h(o(n)).\nAnswer: -15*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*y + 3*y = 12*y + 308 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2447709\/55 - (104\/(-20) + 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b + 84*b**2 - 11*b**2 + 113*b**3 + 1 - 70*b**2 + 1 in the form d + r*b**2 + l*b**3 + s*b and give l.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 96198 to the power of 1\/3, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30939*a + 74*a**2 - 30939*a + 16 - 16.\nAnswer: 74*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxqqwqqwqqmw. Give prob of sequence xj.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 59624 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 25*b**2 - 5*b - 5. Suppose 3*m + 0 = -6. Let l be x(m). Let r = -100 + l. Solve 3 = -r*q - 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2043*j**2 - 711*j**2 - 214*j**2 + 47*j**2 - 3608*j**2.\nAnswer: -6529*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 21*s + 30. Calculate the least common multiple of z(-20) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l**5 - 58\/3*l**2 - 76\/3*l**4 - 4*l + 8\/3 + 41*l**3 = 0. Calculate l.\nAnswer: -1\/3, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 367293625.\nAnswer: 5, 769, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137113?\nAnswer: 31, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5*(-2 - -3))\/1. Suppose 8 = j*m - 2. Solve -2 = -s + 2*k, -m*s - 5*k + 9 = -s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 4*o**2 - 11 + 0*o**2 - 11*o - 10*o**2. Suppose 0 = -r - 2 + 13. Let z(n) = -3*n**2 - 6*n - 6. Calculate r*z(x) - 6*i(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 t when four letters picked without replacement from ttthgbteeb.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 4 = 2*f - 2*b, 2*b + 6 = 0. Suppose -4*i + 11 = i - 4*h, 4*i + f*h = -16. Let j(g) = 212*g**2 - 1. Is j(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -49d - -7?\nAnswer: -496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 4\/1683?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206948594.\nAnswer: 2, 43, 2406379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7 * -30.6\nAnswer: 214.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31\/120 + 13\/24. Let y = -0.4 - -5.4. Let d = 0.06 - -2.94. Which is the nearest to 0.1? (a) d (b) m (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u - 17. Let g(w) = w + 1. Let q(b) = -c(b) + 3*g(b). Let v be q(-9). Let f = 15 - v. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 254, 255, 258, 263?\nAnswer: 270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(2736) + -2*sqrt(2736)*-3 + sqrt(2736) + (sqrt(2736) - -3*sqrt(2736)*2) + sqrt(2736))**2 + 3 + 0.\nAnswer: 700424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46)\/23*32\/168*(-6)\/4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -642.5 - -643. Which is the closest to 1? (a) -2\/9 (b) -1\/11 (c) 0.02 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 3*j + 34. Suppose p = -p + j. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -53? (a) 2 (b) -3 (c) -3\/2 (d) 41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2734*v - 3999*v + 1680*v + 3 + 0.\nAnswer: -5053*v + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(-1\/4)*c*c)*c)\/c**0)\/((c**(-3\/8)\/c)\/(c*c**(2\/5)*c)) assuming c is positive.\nAnswer: c**(161\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 3:03 PM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**3 + 3*j**2 - 6*j + 11. Let n be x(2). Is n > -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 2*v - v + (-4*v + 0*v + 2*v)*(1 + 1 - 4) - 4*v - v + 3*v)*(37 + 33 - 18).\nAnswer: -156*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0283375 to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22426319\/594 - -37755. Find the common denominator of 85\/44 and g.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 153066*b**5 + b**3 + 5959648*b**2.\nAnswer: 9183960*b**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1973 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.41 rounded to 0 decimal places?\nAnswer: -39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 347261888 a multiple of 197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 62535, 62538, 62541?\nAnswer: 62544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t = 21913 + 25695. Is t != -2163?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.33409 millennia to years.\nAnswer: 85334.09","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -4. Let v(w) = w**2 + 2. Let j be v(f). Calculate the highest common factor of 57 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 + (20 - (17 + 9)) - 19) + 89?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54*((-210)\/45)\/14?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6.268499ms?\nAnswer: 6268.499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -305, 1\/2, 0.1.\nAnswer: -305, 0.1, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i**3 + 35*i**2 + 17*i - 102. Let q be j(35). Calculate the greatest common factor of 17 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -6.2. Let z = 2.3 + l. Let u = 6 + -11. Which is smaller: z or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 - 1)*(-5 + 3 + 4)*(6*k - k + 11*k)*(3*k - 3*k - 2*k**2) as w*k**3 + m + t*k + a*k**2 and give w.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 + 14*o + 5*o**2 - o**2 + 2*o**2.\nAnswer: 4*o**2 + 14*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9380075, -37520266, -84420585, -150081032, -234501607, -337682310?\nAnswer: -459623141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u - 2. Let p be n(-2). What is the least common multiple of (-16)\/(-9) - p\/(-9) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-20)\/(-15) - 2)\/(6\/36). Sort -2, 25, b, 0.\nAnswer: b, -2, 0, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5377 = -341. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2899*x - 5989*x - 17433*x.\nAnswer: -26321*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1, -1.8 in decreasing order.\nAnswer: 1, 0.2, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-28)\/98*(-14)\/6. Is t less than -9\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - -2 - (-28 - (111 + -148))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2 - 2)*(1 + 2 - 2) + (0 + 0 - 2)*(2 - 4 + 1))*(-3*u + 3*u + u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 0.17 (c) -0.5 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: b\"What is the cth term of 848, 157, -536, -1231?\n\"Answer: -c**2 - 688*c + 1537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m\/(m**(5\/4)*m*m)))\/m)**(-2\/129)*m**(-3\/10)*m*m**(2\/7)*m assuming m is positive.\nAnswer: m**(8738\/4515)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = 5*s - 3*z, 0 = -5*s - z + 12. Let i(q) = -q**3 - 7*q**2 + 4*q - 16. Let v be i(-8). Let o be s + -5 + v\/6. Sort 4, -2, o.\nAnswer: -2, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1064879 or -1064878?\nAnswer: -1064879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/13 in -33329, 3\/2, -5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v + 12. Let k(x) = -x**3 - 10*x**2 + 10*x + 1. Let b be k(1). Suppose -2*i - 5*l + 0*l + 15 = b, 2*l = 5*i - 52. Determine j(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, 0, 9787, -4 in decreasing order.\nAnswer: 9787, 4\/7, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100110010011110111100 - 1000?\nAnswer: -1100110010011111000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.47548116 - 18.\nAnswer: -15.52451884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 + 2*t - 2. Let b(l) = -l**3 - 10*l**2 - 11*l - 6. Let y be b(-9). Is q(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5a4 + -4?\nAnswer: 5a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-280)\/700*60\/16*(-12)\/(-297).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 103 - 96. Solve a*v = 11*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38469411854 - 0.173.\nAnswer: -38469411854.173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5838969 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2252*k + 5. Let d be i(-5). Let j = 22876 - d. Suppose j = 4*r + 3*a, -5856 = -5*r - 3*a + 8654. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319 is divided by 61?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 822*h - 61674. Calculate c(75).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence irll when four letters picked without replacement from zslsirisimmzzmmrsrli?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 17*c + 209. Let m be z(-12). Suppose 5*u - 80 + 100 = 0, 5*u - 618480 = m*y. Round y to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-3) + 5\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 17355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 + 2*c**2 + c**3 + 15*c - 15*c.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 1:23 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*v**2 - v**2 - 3 + 2*v**3 - 6*v**2 - 8*v**2 + 6*v + 22*v to h*v**3 + y*v + x + c*v**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -54673 at least as big as -54669?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + y**2 - y + 3. Let c be (-2)\/((234\/(-27))\/(-13)). What is j(c)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30241.1529 milliseconds to weeks.\nAnswer: 0.00005000190625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12366.500052083 - -12366.5. Round p to 6 dps.\nAnswer: -0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-5*(-9)\/(-45)*2*2)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8\/9297 + 3107\/9297. Suppose -4*n = -5*n. Factor 1\/3*u**5 + n*u**3 - p*u + 0 - 2\/3*u**2 + 2\/3*u**4.\nAnswer: u*(u - 1)*(u + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2462284, 4924565, 7386846, 9849127, 12311408, 14773689?\n\"Answer: 2462281*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80640)\/2730 - (-134 + 104).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**2 - 5*m - 5. Let q(u) = -3*u**2 - 5*u - 4. Let w(b) = -4*c(b) + 3*q(b). Let l be w(6). Solve 24 = 3*z - 3*x, -4*x - 24 = -0*z - l*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5736892 and 5958.\nAnswer: 51632028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q**2. Let w(u) = -20*u - 14. Let t(x) = 9*x + 6. Let a(v) = -7*t(v) - 3*w(v). Calculate a(h(k)).\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 6:33 AM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 472 divide 1731768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 5:18 PM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7580238, 7580240, 7580242, 7580244, 7580246, 7580248?\nAnswer: 7580250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**5 - 2*u**3 + 2*u**3 + (0*u - 2*u - 17*u**2 + 4*u)*((3*u + u - 2*u)*(-4*u + 4*u + 2*u**2) - 4*u - 3*u**3 + 4*u).\nAnswer: -19*u**5 + 2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + v - 2*v)*(-8*v**4 + 46*v - 46*v - 2).\nAnswer: 16*v**5 + 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40471*j**3*m + 277*j**3 - j**2*m + j**2 - 2*j*m + 7*j + m + 4076 wrt j?\nAnswer: -242826*m + 1662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12837 - -20921. Let k = -8084.05519 + f. Round k to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 6 - 87*f**2 - 2013*f**3 + 0 + 2019*f**3 + 2*f to the form j*f**3 + i + z*f + p*f**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -31*k**3 + k**2 + 8*k + 7. Let j be l(-1). Sort -24, 5, -4, -2, j in ascending order.\nAnswer: -24, -4, -2, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -8*r**3 - 5*r**2 - 5*r. Let n(b) = -204354*b**3 + 102173*b**3 - 6*b**2 + 102174*b**3 - 6*b. Determine 6*i(g) - 5*n(g).\nAnswer: -13*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 9. Let k be 6\/v + (-4 - -3). Which is the smallest value? (a) k (b) -1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213249726 is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38*d**4*i + 2*d**4 + 6*d**2 - 3*d*i wrt d.\nAnswer: -912*d*i + 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*f**2 + 2 - 5 + (-2*f + 4 - 4)*(2*f - 3*f - f) + 0*f**2 + 0*f**2 + 2*f**2 + (3 - f - 3)*(3*f + 3*f - 4*f) - 6*f**2 + 2*f**2 + 5*f**2.\nAnswer: 3*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnoqqqeoq. What is prob of sequence nn?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 251 and 2.\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 19 + 17 + 24 - 90 + 2*m**3 - 2*m**2 + 3*m**4 + 3*m + 20 as s*m + z*m**3 + p*m**2 + f + y*m**4 and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-6216)\/(-50764))\/(81\/21)\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7889.65 less than -0.0034?\nAnswer: 7889.6466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 407 + 663. Suppose 2*p + 5*a - 85 = 0, a = 4*p - m + 33. What is the greatest common factor of 15 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11300 (base 4) to base 13\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -352 - -348 - ((0 - (-5 + -36)) + 2).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -309 - 7093*m**2 - 16*m**3 - 3*m + 7093*m**2 wrt m.\nAnswer: -48*m**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*x - 35 - 17 = -40*x for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18617\/4 + 4673. Factor -3 - 3\/4*z**5 - o*z**2 - 57\/4*z**3 - 21\/4*z**4 - 12*z.\nAnswer: -3*(z + 1)**3*(z + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4360, 4393, 4426?\n\"Answer: 33*i + 4327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5832657824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 2*a - 4. Let o(l) = -24 - 15 + l + 40. Determine -4*o(j) - x(j).\nAnswer: j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - 14*n + 2. Let s be o(-14). Suppose 10 = 4*y - s. Suppose -2*v + 2 = 0, -y*k + k + 5*v = -27. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 - 34)*4 - -1. Let b = r + 126. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*m + 1665 = 177 - 42 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14 + 24. Suppose 0*u - f = -5*u. Let b be 10\/(-16) - 4\/(-8). Sort u, b, 0 in ascending order.\nAnswer: b, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/1 - ((20 - 36) + (-6450)\/(-230)).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 972\/256669?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/7086450 and 71\/7086450.\nAnswer: 7086450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 10, 0, 64, -9, -1 in increasing order.\nAnswer: -9, -1, 0, 4, 10, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 58?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 50*k**2 - 23*k - 1510. Give o(-50).\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/(-2)*-2)\/1. Let s = a + 22. What are the prime factors of s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + z + 0 + (9*z - 6*z + 4*z)*(-4 - 4 + 6).\nAnswer: -13*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2628725 = 61*r - 2624516 for r.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 413659102 to the power of 1\/2, to the nearest integer?\nAnswer: 20339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -28 + 44. Solve 2*q = 2*s + i, 3*q = -3*s + s - 1 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 54 - 162. Let v be (-223)\/(-9) + 8\/h. Solve -11 = -2*b + 3*n + 2, -4*n = 5*b + v for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 155.2, -64, 4\/171?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -333023 + 321?\nAnswer: -332102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12.67 - 12.97. Let u = 3 - 3.2. Let v = u + -0.3. Sort -2, y, v in decreasing order.\nAnswer: y, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**3 + 345*y**2 + 990*y.\nAnswer: 5*y*(y + 3)*(y + 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 11*s - 5. Let z be i(0). Put 0, -4, -3, z in decreasing order.\nAnswer: 0, -3, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1072998 and 2145996.\nAnswer: 2145996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*d*l**3 - d*l**2*p**2 + d*l*p - 8*d*p**2 - 9*l**3 - 2*l*p**2 - 2*p**2 wrt l.\nAnswer: 30*d*l - 2*d*p**2 - 54*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 23376, 22935, 22498, 22065, 21636, 21211?\n\"Answer: 2*k**2 - 447*k + 23821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1298 - 667. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(1 + 0)*-5. Let v(j) = j - 2. Let i be v(5). Let o be (-11)\/i + 10\/15. Sort o, -1, p in ascending order.\nAnswer: p, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 441 + -154. Let p = i + -329. Are p and -1\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -100\/3 - -34. Let t = 2370 - 7108\/3. Factor s*j**2 + 0 + t*j.\nAnswer: 2*j*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 142.4 - 147.4. Which is the nearest to n? (a) -7\/2 (b) 0.2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - 188.186?\nAnswer: -170.186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2671 divided by 849?\nAnswer: -2671\/849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-3) + (-42)\/40 + (6 - 410\/50)\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 1 - 6*b + 2 + 13*b + 10*b**2 - 2. Let w(v) = 29*v**2 + 20*v + 3. Suppose 80*x + 525 = 45. What is x*w(q) + 17*n(q)?\nAnswer: -4*q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -29*n + 2*n**2 - n**2 + 27*n. Let u(y) = y**2. Let i(p) = -k(p) - 4*u(p). Find the second derivative of i(a) wrt a.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a week in minutes?\nAnswer: 26880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62 + -62.3. Put r, 1, -11, -0.4 in increasing order.\nAnswer: -11, -0.4, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (59 - 309*k - 17 + 306*k)*((2*k - 2*k + 2*k**2)*(-2*k + 3 - 3) - 4*k**3 + 5*k**3 - 2*k**3) as u*k + m + d*k**3 + a*k**2 + q*k**4 and give d.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4174?\nAnswer: 2, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 5 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -17*h**4\/2 + h**3\/3 + h**2\/2 + h + 2. Let w be m(-1). Calculate the greatest common divisor of w and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*h + 553 = -149 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2680 rounded to the nearest one hundred?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 10:49 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 21*c**2 - 32*c + 21. Let d be f(14). Suppose -14*n + 19*n = d. Calculate the greatest common factor of 18 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-7)\/2))\/(64\/(-2240)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -265721, -531341, -796961, -1062581, -1328201?\nAnswer: -1593821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-4\/7)\/(y**(1\/10)\/y))**(-5) assuming y is positive.\nAnswer: y**(-23\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 32985.0651 to the nearest ten.\nAnswer: 32990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i**2 - 2*i**3 + 4*i**2 + 5 - 3*i**2 - 3 + 2*i in the form x + u*i**2 + c*i + v*i**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 882*k**2. Let r(d) = 8828082*d + 2*d**2 - 8828082*d. Determine b(r(w)).\nAnswer: 3528*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 106*p + 5547. What is f(-147)?\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 411.82, 0.02, 0, 1\/9 in increasing order.\nAnswer: 0, 0.02, 1\/9, 411.82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - -679594.\nAnswer: 679589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 - 2*u**3 - 60*u.\nAnswer: -2*u**3 - 60*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 1)*-4 + -1. What is the third derivative of 3*i**3 + 2*i**3 + z*i**2 - 9*i**2 wrt i?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73008042.\nAnswer: 2, 3, 12168007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -5*x - 14, 4*w + 3*x = -0 + 80. Suppose -49 = -10*y + 9*y. What is the remainder when y is divided by w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5.82 - 6.32. Put n, -3, 0.1 in increasing order.\nAnswer: -3, n, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.9 + 1. Let z = -1.9 + 2. Let g = z - o. Which is greater: g or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a minute in seconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 20*r - 21. Let l be v(-19). Suppose 0 = d - 5*y + 99, -30 = 2*d + 3*y + 142. Let q = d - -92. Put l, q, 4, 1 in decreasing order.\nAnswer: 4, q, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 + 14. What is the remainder when ((-3)\/6)\/((-1)\/26) is divided by (12\/a)\/((-4)\/42)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4854171708 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -14909.14 to the nearest 100.\nAnswer: -14900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 52\/(-39)*6\/(-2). Let c be 741\/21 - (-4)\/(-14). Suppose -v + c = n*v. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2193 divide 852484890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 13\/5 of a centimeter?\nAnswer: 26000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-10))\/(594\/(-23760))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*i**3 - 4*i**2 + 3*i - 3*i**2 + 0*i**2 - 1.\nAnswer: 99*i**3 - 7*i**2 + 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -8. Which is greater: z or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/15 - (-37)\/(-111). What is the nearest to 2\/9 in q, -4, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -4*r, 3*r = -2*u + 5*u - 118164. Is 47 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 5) + 2*5. Suppose n*b - 5*b = 165. Is b*(2 + -1) + 4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -62*a + 46*a + 80 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -s + 2. Suppose 5*x + 53 + 12 = 3*n, 0 = -s*n. Let y = x + 21. Solve 1 = -v + 2*m - 2, 5*m - y = 3*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 708 is divided by 213?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -7*h**2 - 16*h - 67. Let b be a(-6). Let g = -218 - b. Suppose 4*f - 16 - 20 = 0. Calculate the least common multiple of g and f.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 6:33 PM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 6*t + 8*t - 4*t.\nAnswer: -2*t - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 49 = -5*p, 5*o - 3*o - 3*p - 39 = 0. Let i be (684\/27)\/((-4)\/(-6)). Let l = i - -7. What is the remainder when l is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 1741383?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -255 - -259. Suppose w - 4 = 0, -4*a = -a + w - 10. Suppose 0*v = 2*v - 4*k + a, 0 = -4*v - h*k + 56. Solve 0 = -3*l - v - 3, -3*l = 5*t + 27 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**4\/12 + h**3\/2 + 7*h**2. What is the first derivative of m(x) wrt x?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1563736 times -26?\nAnswer: -40657136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5413 + -0.4587. Sort 10, w, 7\/2, -4 in increasing order.\nAnswer: -4, w, 7\/2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*y + 1 = 7, 0 = 5*b - 3*y + 6. Suppose -4*w + 20 = x, -w + 8 = -b*w + x. Suppose -6*p + w*p + 22 = 0. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 215478169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5958, 14113, 22268, 30423, 38578, 46733?\n\"Answer: 8155*w - 2197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 18*o**2 + 19*o - 1. Let z be r(-19). What is the tens digit of (-11791)\/26*(-1 + z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4427, 17732, 39923, 71012, 111011, 159932?\nAnswer: 217787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -12023 (base 4) to base 3\nAnswer: -112122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 + 57 = -10*o for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 5200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-two fifths of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 1366*d. Let s(g) = -g. Give j(s(m)).\nAnswer: -1366*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(6\/5)\/(f**(-6\/13)\/f))\/(f**(-5\/2)*f**(-15)) assuming f is positive.\nAnswer: f**(2621\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -235478 and -235479 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 934478.6ml in litres?\nAnswer: 934.4786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2. Let k(t) = -1952 + 0*t + 1947 - 4*t**2 + 0*t. Let u(n) = 2*n**2 + 3. Let d(j) = 3*k(j) + 5*u(j). Calculate d(r(y)).\nAnswer: -2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11122734 * 0.9.\nAnswer: -10010460.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108 = 6*y - 5*z, -5*z - 459 = -7*y - 570 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mi when two letters picked without replacement from {s: 3, k: 6, i: 2, d: 1, m: 5}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = n + 3*n - 4, k = 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1234737007)\/(-21) + (2\/4)\/((-39)\/26). What is q rounded to the nearest 1000000?\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k. Let h be t(4). Suppose 8 = x - h. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 1:56 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (72 - 62 + 105)*(-4*h**2 + 4*h**2 - 2*h**2) in the form r*h**2 + l*h + v and give r.\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.18 - -0.18. Let t = 1 + x. Let r be -18*(-4 + 645\/153) + 4. Which is the third smallest value? (a) -2 (b) t (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 9) to base 15.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/78078 and 37\/1911.\nAnswer: 546546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eejjeje. Give prob of sequence jjje.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1384460 divided by 20\nAnswer: -69223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 2)*(3*u - u - 4*u)*(-4*u**2 + 0*u**2 + 17*u**2).\nAnswer: 52*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4818*h**2*u - 3*h*u + 392*u wrt h?\nAnswer: -9636*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = -4*i - 80, 27*i = -39*f + 44*f - 540 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -4*r - 3*h + 6*h, -6*r - 5*h = 11 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 504 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1596256?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 4 - 11 = -4*q, 0 = -q + 3*x for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, h: 2, d: 4}. Give prob of picking 1 h and 2 s.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = w + 3*t, 3*t = -3*w + t + 5. Let j(v) = 5 - 26*v - w - 6 + 10*v**2. Let m(i) = -2*i**2 + 5*i + 1. What is -2*j(a) - 11*m(a)?\nAnswer: 2*a**2 - 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/275 - 16\/825. Which is the third biggest value? (a) 1 (b) i (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3d (base 16) to base 7.\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -41*y**3 + 2*y**2 + 38*y + 2. Let d(w) = -42*w**3 + 3*w**2 + 37*w + 3. Let z(q) = 2*d(q) - 3*k(q). Find the second derivative of z(s) wrt s.\nAnswer: 234*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14 - -23124?\nAnswer: 23142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5803949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306107741.\nAnswer: 10687, 28643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -413250, -413248, -413246?\nAnswer: -413244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5259, 17361, 29463, 41565, 53667?\nAnswer: 65769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -342 - -3?\nAnswer: -338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 110404210042 + 4?\nAnswer: 110404210050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1, -7, -7, 7, 41, 101, 193?\n\"Answer: c**3 - 2*c**2 - 9*c + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 960691313 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - y**2 + y - 2. Let q(t) = 3*t**3 - 2*t**2 + 2*t - 33. What is 2*i(k) - q(k)?\nAnswer: -k**3 + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -131\/11 (b) 0.1 (c) 0.05 (d) -4 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 33*h - 1651. Determine n(50).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r**3 + 14930*r**2 = 0 for r.\nAnswer: 0, 2986","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p. Let r(j) = -4*j**2 - 8*j - 8. Let o(x) = x**2 + x + 1. Suppose n = -n - 16. Let q(g) = n*o(g) - r(g). Calculate q(a(v)).\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/9)\/((y**17\/y)\/y)*y\/y**(-10)*y**(1\/32)*y assuming y is positive.\nAnswer: y**(-919\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6 + -57.4. Round t to 0 decimal places.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -5*n**3 - n**2. Let i be w(-1). Suppose -3*m + f + 78 = i*f, -58 = -2*m + 4*f. Suppose -5*v + 28 = -m. What is the highest common factor of v and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 717680353.\nAnswer: 13, 293, 188417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2974467?\nAnswer: 3, 37, 127, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -359, -365, -371?\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (69\/9 - 2) + (-56)\/(-42). Do y and 47\/8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(153) - (-1*sqrt(153) + 2))**2.\nAnswer: -24*sqrt(17) + 616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9, 45, -4\/7, 7, -1?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*m = -1094934 - 485556 - 997449. What are the prime factors of m?\nAnswer: 7, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 376 - 376.08368. Round k to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 + 540*c**2 - 3*c**2 - 41*c**2 - 23 - 52.\nAnswer: 496*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 291.1592 litres in millilitres?\nAnswer: 291159.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11878 + -11878. What is the third smallest value in 890, -3\/2, 5, v?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -12*(1\/(-2) - -1). Let z = -8 - -27. Is z*(t + 3)\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 11 = 2*f + 4*j, -3*j = 2*f - 26. Determine l, given that -4*l**2 + f*l**2 + 3*l**2 + 6*l - 3*l**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 644, 3044, 7044, 12644, 19844, 28644?\nAnswer: 39044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -136? (a) -2 (b) -5.7 (c) 0.07 (d) 6 (e) -1\/4 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.093777279 + 0.06?\nAnswer: 11.153777279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -134 * -3\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(2\/5))**(-2\/27)\/(z**0)**(27\/5)*(z**(2\/5))**12*z**(-2)\/z*z**(-1\/6) assuming z is positive.\nAnswer: z**(413\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 3*c - 1 + 0 - 5 - 4 - 13*c**2 - c**3. Let n be r(-14). Calculate the highest common factor of n and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -222 + 97. Let n = q - -178. Suppose n - 13 = 5*w. Calculate the greatest common factor of 56 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -3 + 7. Let s be (-2)\/z + -5 + 7. What is the first derivative of s - 3*w - 2 + 6*w wrt w?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 16*a**3 - 7*a**2 - 3*a + 10. Let c be ((-45)\/36)\/((-3)\/12). Let g be v(c). Round g to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9655 - -15609. Differentiate -27*a**3 + 2*a - 5988 + o - 2*a wrt a.\nAnswer: -81*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of 0 + 0*r**4 + 2*r + 0*r**3 + 30*r**2 + 2\/3*r**5. Let b(n) = -2*n. Calculate b(v(z)).\nAnswer: -80*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1422 + -9?\nAnswer: 1414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**4 + 5580*n**3 - 78980*n**2 - 824634720*n - 109200553280 = 0. What is n?\nAnswer: -196, 754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 1:52 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0228 times 28?\nAnswer: 0.6384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 34834 divided by 34834?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 7*n**2 + 8*n - 5. Let l be q(-5). Solve 0 = -5*a - 2*z + 7*z - 20, l*a + 20 = 4*z for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.5, 2\/13, 2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q. Let a(g) = 30*g**2 + 18 + 22 - 73 + 22 + 14. Determine x(a(l)).\nAnswer: -30*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -r + 3*r. Let w = -99 + 890\/9. Let z = 6 - 6.3. Which is the closest to r? (a) w (b) z (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 times 1.2?\nAnswer: -57.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 24*d**2 + 45559*d\/2 - 91502 = 0. Calculate d.\nAnswer: -45751\/48, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 + 6)*7\/(-462). Let y be (-3)\/(66\/(-4)) - (-64)\/132. Let u = 0.3 + 0.2. What is the fourth biggest value in u, -1, y, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -301*u**2 - 246*u + 1014*u + 299*u**2 + (2 - 3 + 3)*(0*u + 0*u + 2*u**2).\nAnswer: 2*u**2 + 768*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/1404 and 133\/24?\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49 and 135163.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -126495.208 rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 9446880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 144190 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48.64 - 48. Let a = -0.553 + b. What is a rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -22) + 122 + -54 + -80?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*z + 75937339 = -469252164 + 69070503. What is z rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1, 1\/3, 0.5, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 4*n**2 + 2*n + 2. Let m = -33 - -33. Let r(p) = p**3 + 2*p**2 + p - 3. Let k be r(m). Let i be s(k). Solve -3*h = -i*h + 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, g: 4, l: 4, a: 4, r: 2}. Give prob of sequence gg.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -210 + 209.999865. What is p rounded to 5 decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -725 times -0.741346?\nAnswer: 537.47585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/(-18))\/((-4)\/24)*420\/245.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**2 - 1711*z - 52242. Give v(-30).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 0.0617.\nAnswer: 0.01851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(360)*-1)\/sqrt(8))\/(sqrt(81)*2))**2.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhi when three letters picked without replacement from hhihiiihihih?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(144) + sqrt(360)\/(sqrt(10) + sqrt(10)*-2))\/((sqrt(300) - 3*sqrt(300))*-2).\nAnswer: -9*sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1402.091 + -84.\nAnswer: -1486.091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -3*o - 25, 3*o + w = -w - 29. Let b be o - -3 - 0\/(-5 - 1). Let n(t) = -t**2 - 7*t + 10. Calculate n(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = v - 705077*y + 705078*y, 6*v - 2*y + 212 = 0 for v.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y + 27. Is m(6) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 256?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**1))**(10\/11)*c*c**8*c*c*(c\/(c**4*c))\/c assuming c is positive.\nAnswer: c**(76\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of u**8\/56 + 2*u**7\/21 + 17*u**4\/4 - 53*u. Find the third derivative of f(g) wrt g.\nAnswer: 120*g**3 + 240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1883\/11 - -171. Let w = -0.674 - -2.674. Let d = -1.01 + 1.51. What is the second smallest value in w, d, g?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**5\/5 + 102*o**4 + 9828*o**3 + 428652*o**2 + 7501410*o + 94517766\/5 = 0. Calculate o.\nAnswer: -63, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 168 (b) -0.4 (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.04 (b) 5 (c) 10 (d) -1\/4 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n - 30. Let s be l(7). Let k be (8\/s)\/(1\/(-336)). Suppose -3*m + k = -9*m. Is -26 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**4 - 2*l**4 - 8*l**4)*(18 - 86 - 141).\nAnswer: 2090*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 645926 divided by -365.\nAnswer: -645926\/365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 57 = -5*k, 24*s - 392 = -5*k + 17 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -43 + 45. Let n(v) = -v**2 + 9*v + 2. Let t(a) = 11*a + 4. Let b(c) = -3*c - 1. Let q(w) = 7*b(w) + 2*t(w). Give i*q(m) - n(m).\nAnswer: m**2 - 7*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2458, 4422, 6400, 8398, 10422, 12478, 14572?\nAnswer: 16710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 324\/13 - 42\/13*c - 2\/13*c**2 = 0.\nAnswer: -27, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6, -3.142, -0.5, 1\/254?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 0 + 0)*(1 + 4 - 6)*(-7 + 7 - 22*b).\nAnswer: 22*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by 68259.\nAnswer: -8\/68259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-4)*j**2*j)\/(j**(3\/2)\/j**(-2\/15)) assuming j is positive.\nAnswer: j**(191\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1017772 (base 9) in base 14?\nAnswer: 102225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -3*c**2 + c**2 - 3*c**2 + 3*c**2. Let y(t) = 0*t**2 + 6*t**2 + t**2. Give y(o(x)).\nAnswer: 28*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 35963203139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 64*w**2 - 44*w**2 - 30*w**2. Let u(i) = -4*i. What is u(x(p))?\nAnswer: 40*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -5\/22354 (c) 2\/3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 99599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add 7.03 and 1314.2295.\nAnswer: 1321.2595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -780*m + 15605. Give u(20).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -8*i - 1. Suppose 240*x - 241*x = 2*j + 1, -3*x - 2*j - 11 = 0. Determine g(x).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 18*g + 6. Let h be j(0). Solve -3*l = 5*p - 32, -h - 2 = -p - l for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 333235 (base 6) in base 16?\nAnswer: 6d37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - f = -5*i + 22, -3*i + 22 = 5*f. Suppose 0 = -5*y + 134 + 181. Let z = y + f. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(4 - 0)*1. Let f = -138 + 138.818. Let k = f - 1.118. Put h, -0.2, k, 2\/37 in descending order.\nAnswer: h, 2\/37, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -19*c**2 - 3*c. Let n(a) = 12380*a**2. Calculate m(n(d)).\nAnswer: -2912023600*d**4 - 37140*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (215\/15 + 7)\/(12\/18). What is the highest common divisor of 512 and w?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/6990080 and 35\/19812.\nAnswer: 272613120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 106, 78, -56, -332, -786, -1454?\nAnswer: -2372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101011 + 11?\nAnswer: -11101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4762\/657156 + (-55)\/1242?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bo when two letters picked without replacement from {f: 1, b: 2, o: 4, m: 4, r: 1, k: 2}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -6*l**3 + 5*l**2 - 11*l. Let w(a) = 6394*a**3 - 12788*a**3 + 6396*a**3 + 4*a + 3*a**2 - 5*a**2. Calculate 4*v(t) + 11*w(t).\nAnswer: -2*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -7 (b) -3\/20588 (c) 0.2 (d) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 44 = -4*c + 3*t, c + 3*t + 16 = 0. Let w = 8 - 13. Let s = w - c. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/9360 and -11\/390?\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 7630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1715965142?\nAnswer: 2, 17, 50469563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/(-5) - (-442)\/(-220) and 195\/(-13) - -14 - (2 + 146\/8)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49240 and 301220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -628.8836 - 0.1164. Let l = 628 + q. Which is the nearest to 1? (a) 1\/6 (b) 5 (c) l (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 10. Let j(o) = 32*o**3 - o**2 + 3*o - 7. Let i(f) = 33*f**3 - f**2 + 3*f - 8. Let n(k) = l*i(k) + 5*j(k). Is n(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -3. Let s be (u\/(-6))\/((-2)\/(-2)). Let c = -41 - -83\/2. Which is smaller: c or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 17*t**2 - t - 2. Determine g(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 68, 98, 128, 158?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 5 (b) 2\/109 (c) -3 (d) -429\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 6*z + 47. Let j be u(-5). Let x(g) = g**3 - 14*g**2 - 52*g + 19. Let o be x(j). Find w such that 0 + 2\/5*w**o - 2\/5*w = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2515323 is divided by 1199.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/20 and 27\/36 + (-165)\/24.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 93609544 and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 3 = -7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32204.5052 rounded to the nearest 100?\nAnswer: 32200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of 5*d**3\/3 + 7*d**2\/2 + 10. Find the second derivative of b(p) wrt p.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 3:04 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddn when four letters picked without replacement from tdtdntnnnnntdtd.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*f - 1158750, 7*f - 4635075 = 4*g + 4*f. Let j = g - -2958765. Round j to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3125 - 4?\nAnswer: -3133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -51608352 divided by 96\nAnswer: -537587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -876?\nAnswer: -1\/292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -362*x + 34766. Determine y(93).\nAnswer: 1100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 6. Let m be 4\/(-2) + (-120)\/(-63). Let r = -378.1 + 378. What is the third smallest value in r, d, m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 87 + -38. Let g be 0\/(-1) - k\/(-4). Let t = 12 - g. What is the second smallest value in 0.4, 2, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -35*v + 32*v. Suppose -v*b - x + 3*x = 4, -2*b + 3*x = -1. Which is greater: -9 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -14*t**2 + 60*t - 16 = 0.\nAnswer: 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4733, -37817, -127613, -302477, -590765, -1020833, -1621037, -2419733?\nAnswer: -3445277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*v - p - 148, -2*p - 56 = -2*v. What is the remainder when 24\/84 - 2\/((-14)\/831) is divided by v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/18)\/((-8)\/120*-5)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2686 - -2681. Let f = -11 + 15. Let j be (-77)\/(-28) + 1\/f. Sort j, 0, v, 4 in decreasing order.\nAnswer: 4, j, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1.855 and 63.35 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5277, -5276, -5275, -5274?\nAnswer: -5273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22) - sqrt(110)\/sqrt(5))*4)\/(-1*sqrt(704)) + ((sqrt(8)*-2 + sqrt(8))**2*-4 - (2*sqrt(2)*5 + sqrt(2) - (sqrt(8)\/sqrt(4) + -4)**2)).\nAnswer: -19*sqrt(2) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 38 - 18 = 0. Let f(c) = -c - c + 4 + c. What is f(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w + 12. Let t(m) = -11. Let b(d) = -6*o(d) - 7*t(d). Let g(l) = -5*l - 4. Let q(r) = -4*b(r) - 5*g(r). Let k(a) = 2*a**2. What is q(k(z))?\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 237.63252 months to centuries.\nAnswer: 0.1980271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 131564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 825 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 761 + -759. Factor 3575*n**o - 37*n - 152*n**2 + 3301*n**2 + 693*n + 16.\nAnswer: 4*(41*n + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5789698 and 2847932.\nAnswer: -2941766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hchchhcchhch. What is prob of sequence cccc?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -166, -169, -172, -175?\nAnswer: -178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -73 + 75. Suppose b = -f*o + 210, 6*b + 5*o - 828 = 2*b. Suppose 5*v - 3*v = b. List the prime factors of v.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4345567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 20. Solve m*j - 5 = j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 8:16 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -10482749400 to the nearest one million.\nAnswer: -10483000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8078 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y*y*y**(-2\/17)\/y*y**13)\/(y**(-4)*y**(1\/12)) assuming y is positive.\nAnswer: y**(4039\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, 44, -1\/6, 0.21?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 441.8818mg in tonnes?\nAnswer: 0.0000004418818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 98\/(-28)*((-72)\/7)\/6. Solve -4*o - y - 10 = 0, -4*r - 3*o + 4 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 990\/1188*(-316)\/85. Are -4 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.344 - -1.344. Let o be (-39)\/(-78) - (2 + -8)\/(-3). Let l be 2*((-2)\/12)\/1. What is the nearest to 2 in k, o, l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of t**3\/21 - 3*t**2\/7 + 8*t\/7 + 2. Solve l(a) = 0 for a.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 644 is divided by 632?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55 and 1265.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -232153122 (base 6) to base 5\nAnswer: -2100313211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -669127, -669118, -669103, -669082, -669055, -669022, -668983?\nAnswer: -668938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != 3570\/7423?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 116*h - 1818*h + 200*h to the form m*h + s and give m.\nAnswer: -1502","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -55, 176, -5 in decreasing order.\nAnswer: 176, -5, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 308 and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 42*u**2 - 3*u - 4. Let p be t(4). What is p rounded to the nearest one hundred?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - 0\/(1 + -2). Suppose -5*y + 12 = d. Suppose -y*a + 0 + 4 = 0. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 38.576\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65149?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 1d60?\nAnswer: 1d63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/6)\/((-82)\/(-369)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 22 = -8. Let r be ((-4)\/f)\/(2\/3). Let c = -382 + 382. Sort -3, r, c in descending order.\nAnswer: c, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 68*v + 62*v + 2 - 132*v - v**3 + 3*v**4 + v**4 in the form q*v**3 + m*v**4 + h*v**2 + g + x*v and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1064, -1729, -7, 1, 2\/15 in decreasing order.\nAnswer: 1, 2\/15, -0.1064, -7, -1729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jii when three letters picked without replacement from gliiijidi?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 8. Let w be ((-3)\/(-3)*a)\/(-1). Let p be 1 - w\/3 - -3. Solve -2 = p*j - 3*r, -3*j = -0*j + 3*r - 18 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001233 to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -129 - -329. Is 3*1\/9 + z\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -146802552*q**3 + 118145732 wrt q.\nAnswer: -440407656*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + i + 6. Let j be r(-2). Suppose j*b = 6*b - 156. What is the remainder when 73 is divided by b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.86 - 0.14. Sort 1, -2\/7, m in descending order.\nAnswer: 1, -2\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 254, 1789, 5964, 14099, 27514, 47529, 75464?\n\"Answer: 220*y**3 - 5*y + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296002 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-16))**(-3\/7))**(-17) assuming i is positive.\nAnswer: i**(-816\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 95, 171, 247, 323, 399?\nAnswer: 475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(468) + sqrt(468)*2)*-3 + 5)**2 + 4.\nAnswer: 432*sqrt(13) + 37928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 207576149?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 13) in base 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 191079*g**3 - 17*g**2 - 5 + 3 - 2*g - 191081*g**3 to k*g**2 + x + d*g + l*g**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/12 + (-17)\/3. Let q be 0 + -4*3\/k. Suppose 6 = -q*g + 46. Solve -g = -w + 6*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(0\/(-2) - 1). Suppose j - 14 + 3 = u. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 4\/(12\/3))*-9. Let f(h) = -75*h - 22. Is f(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45 and 72666.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of h**8\/6720 - h**7\/1260 - h**6\/240 + h**5\/60 - h**4\/6 + 4*h**2. Let l(m) be the second derivative of w(m). Determine l(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151*104.\nAnswer: -15704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -172324390 times 0.3\nAnswer: -51697317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 0. Suppose -5*v - 3*b - 9 = -2*v, v - b - p = 0. Suppose -2*q = -v*q - 24. Does 4 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -17*z - 5. Suppose -6*u - 13 = i - u, -u = i + 1. Let m(h) = -10*h - 10*h + 17*h - h - 1. Determine i*p(d) - 9*m(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence noo when three letters picked without replacement from {o: 5, n: 6, v: 4, c: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**2. Suppose 0 = -3*y + 5 + 4. Let z(h) = -17*h + y*h**2 + 17*h. Determine d(z(k)).\nAnswer: -18*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 a factor of 3126400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 365*k**4*r - 2*k**4 - 63*k*r wrt k?\nAnswer: 4380*k**2*r - 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**3 - 8*o**2 + 2*o + 12. Calculate the lowest common multiple of h(5) and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 7 (b) 0.2 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 - 18759*w - 131166.\nAnswer: -3*(w + 7)*(w + 6246)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*f - 5*m + 19 = -50*f, -m + 3 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c - 40. Let g(j) be the second derivative of 1\/12*j**4 + 0*j**2 + 68*j + 0 + 0*j**3. What is u(g(x))?\nAnswer: -2*x**2 - 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -1\/7, -2482 in decreasing order.\nAnswer: -1\/7, -1, -4, -2482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76 and 2394.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 570, 1973, 4216, 7293, 11198?\n\"Answer: -z**3 + 426*z**2 + 132*z + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 24398 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 17*i - 55770 = 0. Let n = -278759\/30 - i. Find the common denominator of 139\/24 and n.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) -3 (c) 2\/17 (d) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ihi when three letters picked without replacement from {h: 2, i: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1304 + -3?\nAnswer: -1312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.08 at least as big as -0.66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 + -9. Does 5 divide (2 + b\/15)*3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -63622 + -2?\nAnswer: -63624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = -6 + 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 11:07 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*g**3*j**2 + 2870*g**3*j*s - 50*g**3*s + g**2*j**2 - 2*j**2 + 2258089*s wrt g.\nAnswer: 108*j**2 + 17220*j*s - 300*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*t**3 - 50*t**3 + 16*t**3 + 15*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3428802 and 571467?\nAnswer: 3428802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*m + 4*h - 12, -5*h + 10 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37470189 to the nearest integer?\nAnswer: 6121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2255800 rounded to the nearest ten thousand?\nAnswer: -2260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 2 + 2\/5*v + 1\/20*v**4 - 2\/15*v**3 - 1\/10*v**2. Suppose a(j) = 0. What is j?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100948 is divided by 711.\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -259*c**5\/5 - c**4\/4 + 829*c - 2092. What is the derivative of m(b) wrt b?\nAnswer: -1036*b**3 - 3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1818900*q**4 + 2*q**3 + 23471018.\nAnswer: -7275600*q**3 + 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3423311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 2*q**2 - 2*q - 3. Suppose 2*o = 3*o - 4*w - 6, -w - 2 = 0. Calculate k(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -222 divided by -111.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 67 + 3246?\nAnswer: 3335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(119)*1 - sqrt(119))\/sqrt(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-123)\/(-18) + -1 - (-2 - -8) and -39\/62.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*v + 28 + 40, 2*v - 44 = -3*b. Suppose 0 = -4*q - 12, -11*q + v = 5*p - 13*q. Solve -3*y - 10 = p for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1617410904?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 452, 902, 1352, 1802?\n\"Answer: 450*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 + 35 - 767*f**2 + 39 + 38 - 155.\nAnswer: -767*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 178628 divided by -4.\nAnswer: -44657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k + 5*f - 14, 42*f + 1 = 45*f - 5 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.51 - -0.01. Let z = s - 0. Which is the third biggest value? (a) 2\/13 (b) 3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -13*x + 18*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -l**7\/21 - l**6\/15 + l**5\/2 + 5*l**4\/6 - 4*l**3\/3 - 4*l**2 + l + 303. Solve p(b) = 0 for b.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*u - 60 = -104*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 4*n**2 + n + 1. Let l be v(-4). Let p = -17.7 - -16.7. What is the second biggest value in 0, l, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (15\/9)\/(4 - 510\/126). Sort -2, 4, -1, z.\nAnswer: z, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -9*d**4\/4 + 8*d**3\/3 - 17*d**2\/2 + 8*d - 25. Let c be m(3). What is c rounded to the nearest 10?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.991 - -0.991002998. What is p rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 62, 143, 258?\nAnswer: 407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 9*y**2 - 35*y + 67. Suppose -a + 56 = 3*j, 8*j + 24 = 10*j - 2*a. Calculate the remainder when g(2) is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -d*w**2 - 3*d*w + 2981*d - 28*w**2 wrt w.\nAnswer: -2*d*w - 3*d - 56*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 714583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1841690 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: Simplify -3*sqrt(605)*1.\nAnswer: -33*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6172 - -6168. What is the closest to 0 in y, 2, -1\/10, 49?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) -0.5 (c) -46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 121581\/13 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4159449 and -62.17?\nAnswer: 62.5859449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxvvccxx. Give prob of picking 2 v.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31779 = 16*b - 7389. Is b a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n + 7*n + 5*n + 2*n**2 + (-17*n - 3 - 16*n + 32*n + (3 - 4 - 2)*(2 - 2 - 2*n) + 0*n + 0*n + n)*(-n + 2*n + 0*n).\nAnswer: 8*n**2 + 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 660 = -972. Suppose 306 = 4*k - 5*s - 45, -4*s = 5*k - x. Let c = -56 + k. Is c a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 382.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 10 = 0, -3*u + 133 = 3*q - 89. Calculate the highest common factor of 24 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 166.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83678 = 52*b - 37*b + 28*b. Calculate the highest common divisor of b and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13\/(26\/32) + 3. Suppose d*q - 66 = -9. Let x(t) = 7*t**3 - 4*t**2 + 3. Let n(h) = 6*h**3 - 3*h**2 + 3. Calculate q*x(w) - 4*n(w).\nAnswer: -3*w**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4 = -3*j + 8*j, 4*l = -16. Suppose -9*o + j*o = 5. Let z(g) = -g - 2. What is z(o)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1564 is divided by 334.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is y in y**3\/10 - 115267*y**2\/10 - 57634*y\/5 = 0?\nAnswer: -1, 0, 115268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 12*t**2 - 28*t + 10. Let k be 15 - ((-6)\/(-24))\/(1\/4). Let r be n(k). What is the greatest common divisor of 130 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00951170831 to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 g when two letters picked without replacement from {w: 3, g: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 0)*(-5 - 17 - 284*f - 83 + 12 + 24).\nAnswer: 568*f + 138","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 - 248*k**2 - 237364*k - 237112.\nAnswer: 4*(k - 277)*(k + 1)*(k + 214)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.997 + 0.103. Let w = -5.4 + g. What is w rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27\/54)\/((-2)\/4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 4424?\nAnswer: 4414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*3\/(-2)*1016\/127.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 227*f - 4402. Give j(22).\nAnswer: 592","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -50*n**3\/7 - 1340*n**2\/7 - 1048*n\/7 - 208\/7 = 0.\nAnswer: -26, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -420041, -420065, -420089, -420113, -420137, -420161?\nAnswer: -420185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**3\/7 + 478*p**2 + 186516*p\/7 = 0. Calculate p.\nAnswer: -54, 0, 1727","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -507394 - 187736. Let i = c - -399004731\/574. Let u = i + 6\/287. Calculate the common denominator of -71\/6 and u.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 958 (base 14) in base 5?\nAnswer: 24332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - (sqrt(104)*-2*2 + sqrt(104))) + sqrt(104))\/(2*sqrt(32)\/sqrt(4)).\nAnswer: 5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 5:50 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 535986960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.8, 0.8, 2\/11, -1?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyfyfoonyyyffnpyi. What is prob of sequence no?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2156 - -2196. Solve -5*u - 5*x = -o, -2*u + 2*x + x - 9 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 978.29 and -64?\nAnswer: -62610.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(1\/3)*p)\/p)**(4\/21)\/(p**2)**(32\/5))\/((p\/p**0)**(6\/7))**(-4\/17) assuming p is positive.\nAnswer: p**(-67124\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/2 + 4\/(-8))*-1. Let g(v) be the second derivative of -1\/8*v**4 + 0 + 3\/4*v**2 + n*v**3 + v. Solve g(a) = 0 for a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*i - 1747 + 1747 = 0. Let r(u) = u**2 + 3*u + 4. Let f be r(-2). Solve i = l - 2*p - 3, -6*l = -l + f*p + 33 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-4))\/(11\/(-330)). Suppose -4*n + 0 + 3 = 3*j, 0 = j - 2*n - 11. Suppose j*y = -32 - 3. Are b and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -887 = -5*g + 1743. Let b = 1556 - g. List the prime factors of b.\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 3*c**2 - 31*c + 12. Let b be t(4). Solve 3*u - 6 + 6 = b for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 12, 7*h - 6*h - 86 = -3*t. What is the highest common divisor of t and 180?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2 + 2*b**2 - 3*b**2 + 2*b + 2*b**2. Let z be d(-2). Suppose -2*j = -2*s + 2*j - 8, -4*s = -z*j - 14. Calculate the remainder when 16 is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 14590*r - 116705. Give j(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 6\/5 + -1 - 58\/(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*a = -4, 3*p + 4*a - 13 = 6*a. Let y = p + 7. What is the greatest common factor of 40 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, 1644, 4636, 8884, 14388, 21148, 29164?\nAnswer: 38436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 331248076 and 3004?\nAnswer: 3004","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve v**4 - 603*v**3 + 62437*v**2 + 191547*v + 128506 = 0.\nAnswer: -2, -1, 137, 469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 85 - 30. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, b: 1, q: 1, r: 3, e: 5}. Give prob of picking 1 q, 1 s, and 1 b.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -465 or -1399\/3?\nAnswer: -1399\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -12 - 4. Suppose 0 = q*z + 2681 + 371. Calculate the common denominator of -85\/4 and z\/(-154) + (-1 - 0).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**3 - 62*h + 366*h - 680*h - 1368*h.\nAnswer: -2*h**3 - 1744*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2494922\/11 + 226811. Let s = -38 + 13. Sort s, -1\/2, 0.4, f in increasing order.\nAnswer: s, -1\/2, f, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 55125 and 105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**3\/3 - 421*v**2 + 133141*v - 398161\/3 = 0.\nAnswer: 1, 631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 3, 469, -149 in ascending order.\nAnswer: -149, -3, -2, 3, 469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/10 and -71\/702548.\nAnswer: 3512740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 5*v + 7. Let i be c(6). Let x(u) = 2*u**2 - 5*u**3 - 13*u**3 + 26*u**3 - 1. What is x(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {q: 1, h: 2, x: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -4.6. Let w = -0.19 - -0.09. Which is the nearest to w? (a) -5 (b) 2\/5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 126485395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25806596 is divided by 4309.\nAnswer: 4304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/5 + 32038*b\/5 - 32036\/5.\nAnswer: -2*(b - 16018)*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, j: 1, b: 1}. Give prob of sequence bsj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h**3*p - 16002*h**3 - 2*h**2 + 165*p wrt h.\nAnswer: 12*p - 96012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57 - (-13 - -27)) + -14.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1111624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.294 in -9, 0.5, 0.05, 3, -7, 7\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -28\/1707 and 93\/21622.\nAnswer: 64866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 31839341513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 12:17 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 d when two letters picked without replacement from {e: 5, h: 3, z: 1, d: 11}?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -14. Suppose 5*k - 32 = i*k. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 238 - 234. Let x = 40 + -45. What is the second smallest value in x, n, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*n + 2 + 23*n - 18*n)*(-5*n**2 - 3*n**3 + 5*n**2).\nAnswer: 24*n**4 - 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -120, -0.01, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhqhhhqh. What is prob of sequence qh?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 8:01 AM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o - 1. Let r(v) = 5*v + 19. Determine -r(i) - 4*w(i).\nAnswer: -i - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ujpl when four letters picked without replacement from {j: 4, p: 1, u: 7, x: 1, l: 1, d: 5}?\nAnswer: 7\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 + (-1)\/3)\/(10\/(-45)). Suppose -14 = -w*z + 10. Suppose -5*f + 40 = -2*m, 3*m = -f - 4 - 5. Calculate the remainder when f is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 1\/4, 3, -1\/6, -2\/1112881?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*q = -50, 3*j + 4*q - 5*q = 200. Suppose 5*i = -5*u + j, 0 = i - 6*i + u + 35. Calculate the remainder when 31 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b + 6. Let x be v(-2). Let c be 3\/(18\/x) + (-3)\/(-63). Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vfvvvfvfvfvvffvf. Give prob of sequence vvv.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 3*t - 10, -t + 4 + 3 = 4*v. Suppose -5*l = -l - 12. Find the first derivative of -4 - 4*u**2 + l*u**2 + 0 + v wrt u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6146 is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 174477637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 3001457635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000437 rounded to 6 decimal places?\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 24 - 108. Let x = r - -49. Suppose -a - 3*z + 20 = 6, -2*z + x = 2*a. List the prime factors of a.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -317699 or -317359?\nAnswer: -317699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**2 + 38*l + 11837. Let f be y(-68). Factor 3*t**3 - 7\/3*t**2 - 5\/3*t**4 + 0 + 1\/3*t**f + 2\/3*t.\nAnswer: t*(t - 2)*(t - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3910575?\nAnswer: 3, 5, 23, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, j: 8, n: 5, z: 2, p: 3}. What is prob of picking 1 n, 1 p, 1 x, and 1 j?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-3*sqrt(130) + sqrt(130) - -1*sqrt(130)*2)\/((4*(sqrt(10) - sqrt(90)) - 1*sqrt(10)*-4)*-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -5*y + 47, -2*y - j + 10 = -10. Suppose 19*f = x + 15, -5*f - 13 = -4*x - 2*f. Calculate the remainder when y is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 491*x = 50956 - 15113 for x.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 34591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 + 2*k**3 + 3*k**4 + 1 + 0*k**4 in the form g*k**4 + q*k + v*k**2 + n*k**3 + l and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -19*y - 176. Let m be 10\/14 - (-2)\/7 - (-410)\/(-41). Determine l(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1296 - -1505. Solve -i*g + 202*g - 42 = 0 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tptptppppppppp. Give prob of picking 2 t.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**3 - 219*r**2 - 92*r + 1856. What is h(-109)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (0 - (12 + -15)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f + 2*f = 5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -213, -298, -383, -468?\nAnswer: -553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10895702501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 19099.06ml?\nAnswer: 19.09906","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g + 8. Let j be r(6). Suppose -h + j + 1 = 0, -2*h = a - 9. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 1. Solve d*m - 2*m = -4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 94973.\nAnswer: 4\/94973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 15) in base 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + 2*c**2 - 4*c + 304. Let y be q(0). Calculate the greatest common divisor of y and 256.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20350)\/(-132) + 1\/(-6). Calculate the highest common factor of m and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*b - 2322 = 2*m + 9*b, -3*m - 2*m - 30*b - 162 = -33*b for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 13*o - 1 - 1 + (0 - 2 - 5*o + 1)*(-4 + 3 + 0) to p*o + x and give p.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 5*y = 3*j - 7, 4*j - 2*y = 0. Let d be (3\/(-6))\/(j\/(-2)). Let u be 28\/(1 + d) - 4. Solve 2 - u = -2*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(170)*-3 - sqrt(170)) - (sqrt(170) - (sqrt(170) + (sqrt(170) - sqrt(170)*1))*4))\/(sqrt(100)\/(sqrt(10)*-1) + sqrt(1000) + sqrt(40)).\nAnswer: 19*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67477770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 6*(0 + sqrt(5))*-3 + 2 + -1 + (sqrt(720) - 3*sqrt(720) - sqrt(720))*-4)*5)**2.\nAnswer: 18900*sqrt(5) + 1984725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2467\/1644 - -1\/1644. What is the third smallest value in 1, r, -0.5, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (124894\/(-55))\/(4\/(-10)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 + 4*g + g - 9)*(0 + 2 - 10)*(1 + 0 + 0) as k*g + q and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j\/(j**(-2\/23)*j)*j)))\/(j*j\/j**(-1\/38))*j*j**(1\/5)*(j*j\/(j*j**25*j))\/j assuming j is positive.\nAnswer: j**(-112481\/4370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2367155*b**3 + 6*b - 16622940 with respect to b.\nAnswer: -7101465*b**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 135903?\nAnswer: 2\/45301","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: 3 * -169.232\nAnswer: -507.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 3*k**3 - 8952*k**2 - 2476317*k - 4916802 = 0.\nAnswer: -253, -2, 3239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*n - n - 40594 - 2079*n**3 + 40553 + 98*n**2 wrt n?\nAnswer: -12474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26483 + 18150*f - 26483 to the form n*f + j and give n.\nAnswer: 18150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*h - 34*h + 13*h - 37*h.\nAnswer: -82*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b + 20, 438*d = 436*d + 3*b - 58 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67484337 is divided by 891?\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -170 - -499. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -36*o - 75 - 155 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 - ((-1 - -2) + 1). Suppose -q = -3*s + 4, 0 = 4*s + 3*q - 1. What is the remainder when ((-2)\/(-3))\/(y\/(-6)) is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -343 and -20029406642.\nAnswer: -20029406985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208 = -3*u - 2*y, y - 158 - 177 = -5*u. Solve -u*s - 193 - 269 = 0 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/7196)\/((-7045)\/(-19726))\nAnswer: -2\/257","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*a*l**3 - 1035*a*l**2 - 2*a + 3011*l**4 + 281*l + 196308 wrt l?\nAnswer: 12*a*l - 2070*a + 36132*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 637\/(-14)*(-1 - 1). Let n be -52*(-4)\/(-16)*-1. What is the greatest common factor of n and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4*(-9)\/(-108))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 270.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 14. Suppose 0 = 4*k - 2*w + p + 87, -68 = 3*k + w. Which is bigger: -23 or k?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -23, -2, 125, -2582.\nAnswer: -2582, -23, -4, -2, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56 - 48. Suppose f = -z*f + 27. Solve h - f*h = 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*f*o - 40831*f*u**2 - 25*f + o*u**2 - 4*o*u + 2815*u**2 + 66*u wrt f.\nAnswer: -2*o - 40831*u**2 - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 751104.2 and 0.48 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3380\/44 + 2\/11. Let n = k - 53. Suppose 4*l + 2 - n = -2*b, -l = 3*b - 18. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 201 - 104 - 53 - 44 + 8*a.\nAnswer: 8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.76 times -6\nAnswer: 4.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -189*i + 1191*i - 2393 = 652 + 1965 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 7:42 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 431 = 2*t, 2*k + 14*t = 9*t + 300. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-21)*t\/t**(-6)*t)\/((t\/(t\/((t*t\/(t**(-3\/4)*t))\/t)*t))\/(t*t**(4\/11)*t)))**(1\/14) assuming t is positive.\nAnswer: t**(205\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3545 + 204?\nAnswer: -3341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4357 + -4356.5. What is the biggest value in -582, 3\/4, b?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g + 7. Let j be l(0). Let m(t) = -t + 2. Let y(k) = 4*k - 7. Let d(x) = j*m(x) + 2*y(x). Calculate the lowest common multiple of 20 and d(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9919 = -14*a + 578*a + 3617 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 299, 413, 699, 1235, 2099, 3369, 5123, 7439?\n\"Answer: 13*i**3 + 8*i**2 - i + 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(2\/3))**(6\/7)*x**0\/(x\/x**(-2\/33)))**(-7\/6))**(-43) assuming x is positive.\nAnswer: x**(-4859\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most as big as -8\/65?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmmmm. What is prob of sequence mm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 16 = -9, 4*h = -2*g + 50. Solve -4*p - 3 + g = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4.22557 and -17.\nAnswer: -12.77443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -58130 divided by -11626\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 357 and 0.017708.\nAnswer: 357.017708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6460834019 to the power of 1\/2, to the nearest integer?\nAnswer: 80379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**5\/2 - 27081*d**4 - 406479*d**3 - 1327986*d**2 - 3089733*d\/2 - 596277 = 0. Calculate d.\nAnswer: -11, -2, -1, 18069","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14562 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 444310.2 millimeters?\nAnswer: 444310200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qttititiiitiqi. What is prob of sequence iqit?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 + 4*f**2 + f. Let j(d) = -4*d**3 + 324*d**2 + 3*d - 55. Let y(c) = j(c) - 6*z(c). What is the second derivative of y(s) wrt s?\nAnswer: 12*s + 600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x + 2. Let c be z(3). Suppose 30 = 2*y - c*l, l + 19 = 3*y - 0*l. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 26\/(-3)*3\/(-2). Let n = k - 13. Solve 4*t + 20 + 0 = n, 4*d + 3*t = -11 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3856068 divided by -3.\nAnswer: 1285356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -2. Let r be ((-10)\/(-3) + -3)*0. Solve r*b + h*q = -b + 3, 0 = 2*b + 3*q - 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*v - 11*v - 5*v.\nAnswer: 18*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5313 times -0.077\nAnswer: -409.101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 27 + 24. Let r = -568 + 2271\/4. Which is the second biggest value? (a) r (b) 0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of 5*t**7\/7 - 2*t**3 + 4. What is the third derivative of w(y) wrt y?\nAnswer: 600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - (-2 + -5))\/2. Let v be (-7)\/(i*((-3)\/(-3))\/(-2)). What is the highest common divisor of v and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, 0.13, 5, 6, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-4*sqrt(198))\/sqrt(6))\/(((3*sqrt(110)*-1 - sqrt(110)) + sqrt(110) + sqrt(110) - sqrt(110))\/sqrt(10)).\nAnswer: -8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2419286223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202221202 + -10?\nAnswer: 202221122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*u + 39*u + 13*u)*(4*u**3 + u**3 - u**3 + (u - 3*u + 3*u)*(u**2 + 2 - 2) + 0*u**3 + 2*u**3 + 0*u**3).\nAnswer: 266*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -65*y**3\/6 + 9*y**2\/2 + 464*y - 1. Calculate t(1).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -3*o - 28. Calculate the remainder when 66 is divided by p(-17).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**3 + 2*i - 2*i)*(-4*i + 3*i + 3*i) - i**4 + 0*i**3 + 0*i**3 - 39 + 39 + 25*i**4.\nAnswer: 22*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -234*b - 6. Let h be q(-9). What is h rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -85*j**3 - 23976*j**2 + 650683*j + 46050.\nAnswer: -(j - 25)*(j + 307)*(85*j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261 is divided by 27?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 0.065?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260528?\nAnswer: 2, 19, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 + 2*z + 1. Let w be -5 + 3 + (0 - 0). Let s be t(w). Solve q = -0*q + s for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 - 4*d**2 - 3*d - 4. Let s = -14 + 20. Let u be w(s). What is the common denominator of ((-4)\/(-30))\/(24\/u) and 41\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -298176, -596402, -894628, -1192854, -1491080, -1789306?\n\"Answer: -298226*r + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 9:12 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48.74 + 9.72. Let u = d - -39. Let h = u + -2.98. Which is the nearest to -5? (a) 3 (b) h (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6*(-2)\/(-16)*-2. Let z be ((9\/(-10))\/(12\/(-10)))\/((-11286)\/7524). Which is the smallest value? (a) 4 (b) -1 (c) z (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 3*a - 1. Let j = -8.9 - -9.4. What is the second biggest value in 3, a, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 209*u + 225*u - 581*u = -185*u + 3268 for u.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -7 + 1 - (2 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 671245001?\nAnswer: 7, 73, 691, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zvqq when four letters picked without replacement from zvvvqvvvqvvqvq?\nAnswer: 9\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-43)\/(-5) + 4\/10. Suppose 0 = 27*m - 28*m + 4. Suppose m*q = j*q - 10. Solve 1 = q*s - 3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 7*m - 3. Determine g(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r - 11. Let p(f) = -2*f**2 + 7*f - 7. Let y be p(5). Let i(o) = -1. Let d(h) = y*i(h) + 2*c(h). Let z(w) = 6*w**2. What is d(z(g))?\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 2. Let y(l) = l**2 - 3. Let z = -2 - 1. Let t(f) = z*p(f) + 2*y(f). Let h(j) = j + 9 - 9. Determine h(t(m)).\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-7 + (10 - 10) - (8 + 0)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -17, -62, -145, -278?\nAnswer: -473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -76, -161, -278?\nAnswer: -427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1775942.\nAnswer: 2, 7, 47, 2699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 1:52 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -87\/1786 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 5, -1\/270, 2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35669 + 19642.5. Round u to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k - 6. Let l be h(-3). Suppose 0 = -l*a + 3*a. Suppose a*b**2 + 0 + 0*b**3 + 0*b**4 + 0*b - 2\/5*b**5 = 0. What is b?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 186464.8 litres?\nAnswer: 186464800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1888882330 by 1.\nAnswer: -1888882330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - p = -0*p + 1, 2*r - 5*p = -7. Let z = 5 + -3. Suppose z*b - 6*b = 8. Is r at most as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360) - (sqrt(360) - (sqrt(360) + sqrt(360) + 2*sqrt(360)*6)) - sqrt(360))\/(sqrt(6)\/(sqrt(3) - (-1*sqrt(75) - sqrt(75)))).\nAnswer: 858*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**4\/13 - 1988*w**3\/13 + 1368*w**2 - 53244*w\/13 + 53190\/13 = 0. Calculate w.\nAnswer: 3, 985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 60*v - 79. What are the prime factors of c(17)?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 183805, 368405, 553005, 737605?\nAnswer: 922205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 1 - (72 - 44 - 29)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, l: 1, r: 1}. What is prob of sequence rl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, -7068.1, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 982408752?\nAnswer: -982408752.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*i + 5 - 5 - 217*i)*(0*i - i - i)*(-3*i + 4*i - 2*i).\nAnswer: -412*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 1:57 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (710\/(-15))\/(4\/6). Let w = 122 + y. What is the greatest common factor of 17 and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*m - 62*m = -95*m + 763 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a week in minutes?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 11*u. Let q be l(11). Suppose -2*k + 14 = 2*p, q*k + 1 = 3*k - 2*p. Let -104*g**k - 5*g**2 - 3*g + 109*g**3 + 2*g + g**2 = 0. Calculate g.\nAnswer: -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 856 a factor of 15267674?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b - b + 2*b)*(-4 + 0 + 3)*(0 + 4 - 2) + (-6*b + b + b)*(-1 + 0 + 2).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17226*h**4 + 777*h**2 - 1?\nAnswer: 413424*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2 = 13. Let g(j) = 4*j - 4 + 8 - j + c. Give g(-8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4877*u**2 + 6*u - 6. Let t be i(4). Let b be ((-420012)\/(-15) + 2)*5. Let s = b + t. What is s rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71.5 times -11?\nAnswer: 786.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4*550770\nAnswer: -2203080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95 and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 2, 12, 26?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 60*n - 584. Let a be i(31). What is the highest common divisor of a and 8280?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 11:30 PM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 4 + -2 + (-100)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**4\/3 + 91*m**3\/3 + 1727*m**2\/3 - 15631*m\/3 + 9604 = 0.\nAnswer: -49, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2240419916.\nAnswer: 2, 7, 359, 222883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1375095, -1374790, -1374485, -1374180, -1373875?\n\"Answer: 305*h - 1375400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**5\/6 + 23*q**4\/6 + 11*q**3\/2 - 227*q**2\/6 + 134*q\/3 - 16.\nAnswer: -(q - 24)*(q - 1)**3*(q + 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 60, 162, 316, 528, 804, 1150?\nAnswer: 1572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + m = 5*x + 22, -5*x = 3*m + 102. Let g be (-5)\/(60\/x + 3). What is g rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 96 and 48.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 5317865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/4*(-2144)\/(-134).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of 31\/20*j**5 + 2*j**2 + 6*j + 2 - j**3 + 0*j**4. What is the second derivative of a(h) wrt h?\nAnswer: 186*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142265377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*v - 5*v + 0*v + 3*v to the form c + x*v and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/8*(-8)\/3. Let a be (-350)\/(-20) + k\/(-4). What is the greatest common divisor of a and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*n - 2*u, u + 3*u - 17 = -3*n. Let p(s) = -6*s**n + 3*s**3 + s**3. Suppose -3*i - 3*v = 2*i + 10, 3*v = -2*i - 13. Calculate p(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5*q + 243 = 0, 2*x - q - 3*q - 128 = 0. Suppose -j + 5*j = 2*m + 84, 0 = -3*j + m + x. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-41)\/(-30) - (-90)\/(-60) - 19439\/(-105). Solve 17 - j = 21*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1698\/7 + -242. Which is the second biggest value? (a) q (b) -3 (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = n - 16. What is the remainder when (-267)\/(-3) - -4 - -1 is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*b - 12 = 0. Let i = 13.7306 + -9.7306. What is the closest to b in i, -2\/7, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12000300 (base 4) in base 13?\nAnswer: b292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**5\/n*n*n**(2\/3)\/n*(n**0)**(-4\/7) assuming n is positive.\nAnswer: n**(14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 141567 at most 1840366\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 2*h - 332, 3*u + 2*h + 309 = 1277. Calculate the remainder when u is divided by 289.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -19. Let s(q) be the third derivative of 1\/60*q**6 + 0*q**3 + 1\/15*q**5 + f + 1\/12*q**4 + 0*q + q**2. Solve s(o) = 0 for o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2358080772 by 6.\nAnswer: -393013462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(17) - sqrt(119)\/sqrt(7)) + 2*sqrt(68) + (-1 + sqrt(1088) - sqrt(1088)) + sqrt(204)\/(sqrt(12)*2 + sqrt(12)).\nAnswer: -1 + 13*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 80\/6*(-564)\/(-470)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -45962 + 1?\nAnswer: -45961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.48 + -0.51. Which is the closest to 0.1? (a) 2 (b) 2\/3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 139 (b) -5 (c) -0.09 (d) -707\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 83*n + 578. Let v be x(-7). Sort 31, -2, 2, v, 7.\nAnswer: v, -2, 2, 7, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 565 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.464 and 4?\nAnswer: -1.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 220 - -325. Let s = 2512 - t. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -411, -1487, -3269, -5757, -8951, -12851?\n\"Answer: -353*g**2 - 17*g - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**4 + 3*n**4 - 4*n**4 - 4*n**4 - 6*n**4 + 4*n**4 + (0*n**4 + 8*n**4 + 0*n**4)*(-3 + 2 + 3) to r*n**2 + o*n**4 + k*n + d*n**3 + v and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**2 + 54485*g = 0.\nAnswer: -54485, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 12 = -0*d. Suppose -6 = -3*a - d*z, 3*a = -2*z + 6 - 0. Find m, given that -2\/9*m**3 + 0 + 8\/9*m**a - 8\/9*m = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3551 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3126664 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-49 + 17 - -42)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = 273*y - 269*y + 12*b, 2*b = 3*y + 6 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 6*b**2 + 4*b + 7. Let k be i(5). Let r be k\/(-9) - (-56)\/9. Find the third derivative of q**2 + 2 - 2 + 2*q**r wrt q.\nAnswer: 240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**3\/4 - 113*z**2\/4 - 1567*z\/4 - 1455\/4 = 0.\nAnswer: -97, -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 148\/333 - 6\/54*175?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 0 (c) 6 (d) -6 (e) 128\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 - 11. Suppose 73 - l = 3*q. Is q a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14518909*w**4 + 5075*w - 1407?\nAnswer: -174226908*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1502360597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of z**6\/60 + 5*z**4\/12 - z**2\/2 + 4*z. Let w(b) be the first derivative of k(b). Let i(p) = p. Determine -12*i(h) + w(h).\nAnswer: 2*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - 11.7. Let t = v + 11.96. What is the third smallest value in t, -1\/2, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*k + 22*k + 36 = 0. Suppose 474 = 2*g + b + 4*b, k = 3*b. What is the second derivative of 231*j - g*j - 37*j**3 + 11*j**3 wrt j?\nAnswer: -156*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 125\/312 and 75\/5632.\nAnswer: 219648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502 is divided by 221?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 4 + -5 + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 6:30 AM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 164\/328*(20849 - -1) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6326 (base 8) in base 2?\nAnswer: -110011010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/81284 and 103\/157220.\nAnswer: 456409660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 376415*k + 807507*k - 219258*k.\nAnswer: 964664*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 5*b. Let o(p) = -28*p**2 + 14*p - 2588. Let l(u) = -6*h(u) - o(u). Find the first derivative of l(y) wrt y.\nAnswer: 68*y + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (15\/(-9))\/(-1)*3. Suppose 5 = -5*i - 4*j - j, i = l*j + 17. Find the third derivative of 0*h**i - h**3 - h**3 - 3*h**2 wrt h.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1372965 and 880?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**3 - 12*h**2 - 14*h + 4. Let k be n(7). Suppose 3*u + 3 + 9 = -4*c, k*u + 12 = -4*c. Solve -3*g = -u*g - 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -33.\nAnswer: -6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 109743007703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4 - 1 = 0. What are the prime factors of 4\/6*(r + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*w + 12*w + 5*n = -395, -3*w - 4*n = -216. Calculate the greatest common factor of 19 and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 1) + (-18 - 3 - -34)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -577, -1152, -1727, -2302, -2877, -3452?\n\"Answer: -575*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4.039740618 + -3570\nAnswer: -3574.039740618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -71*l**2*s*z**2 - l*s*z**2 - 14*s*z**2 + 4*s wrt l?\nAnswer: -142*s*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - 1000110?\nAnswer: -1001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, h: 7, c: 2, j: 3, v: 1}. Give prob of sequence hm.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1824*q - 50081 = 1003*q for q.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28154555531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -351\/2 - -186. Let n(z) be the first derivative of 5 + 5*z**3 - k*z**2 + 6*z. What is h in n(h) = 0?\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44508967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 317263735 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3739.13276 - -0.6388.\nAnswer: -3738.49396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2563?\nAnswer: 11, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a kilometer in meters?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 906?\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2*u = 122, 14*u + 9 = 17*u. What is the remainder when 113 is divided by w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 325 + -324. What is the highest common divisor of 76 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 157324 and 2483168?\nAnswer: 4252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -0*o + 5*i, -i = -5*o + 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**(12\/13)*i)**(-17) assuming i is positive.\nAnswer: i**(-459\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3170309 to the nearest integer?\nAnswer: 1781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + sqrt(448) + 2 + 5) - (1*4*(3*sqrt(448)*2 - sqrt(448)))**2.\nAnswer: -179224 - 32*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -52197631618 plus -39?\nAnswer: -52197631657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 0*h = -12. Let w be 15\/(-3) + 1 + h. Suppose 27*o - 11 - 70 = 0. Put 21, w, o, -3 in descending order.\nAnswer: 21, o, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -12\/5 (b) -6 (c) 2 (d) 2\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5290 divided by 198?\nAnswer: 2645\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 470.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence od when two letters picked without replacement from {r: 1, a: 2, d: 2, o: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1723068647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4795 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = o + 2, -4 = -0*o + 2*o - p for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*4*(-2)\/4. Let l be ((-112)\/(-84))\/(s\/1281). What is l rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2448.3 + -2446.52811. Let u = s + -1.77. Round u to 4 dps.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g**5\/4 + 9*g**4\/4 - 3*g**3 - g**2 = 0 for g.\nAnswer: -2, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a. Let f be m(-1). Suppose 2*s - 5*x + 71 = 0, -2*x = f*s - 3*x + 113. Let o = s - -62. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2693913mg to nanograms.\nAnswer: 269391.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzkzzzzzr. Give prob of sequence rzkz.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5\/21 + 1\/63. What is the closest to -0.2 in p, 3, -4\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -40*l**3 + 109\/24*l**4 + 0*l + 84*l**2 + 0. Differentiate z(p) with respect to p.\nAnswer: 109","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 983158836*f**3 + 57386*f**2 + 133 wrt f.\nAnswer: 5898953016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36*n + 74*n - 912 for n.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -22. Suppose i*j - 34 = 2*g, -5*j + j = -5*g - 85. Let c = g + 32. Which is bigger: 14 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*b + 3*n + 225, 5*b = 5*n + 370. Calculate the highest common factor of b and 284.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (110\/(-30))\/(1\/(-4881)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.57164 weeks to microseconds.\nAnswer: 57801727872000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of 0 - 2*o + o**3 + 2*o**2 + 1\/20*o**5 - 2\/3*o**4. Let d = -14772 + 14779. Give r(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1294 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 270611285 to the nearest integer?\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -318 + -2784.87888?\nAnswer: -3102.87888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19.05 + -19. Suppose -3*h = -y - 3, 4*y - 9*y = -h + 1. Let w = 0.1 + 0.1. Put w, s, y in increasing order.\nAnswer: y, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -h. Suppose 424468 = -h*y + 4*y. Suppose 124883 = -3*q - y. What is q rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/((-342)\/24))\/((-1)\/(-30)*-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4104 and 6852768.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -8*m + 14. Let w(y) = y**2 - 12*y + 20. Let p be w(6). Let x be u(p). Suppose -5*q = -x + 62. Calculate the smallest common multiple of q and 4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and -31361.\nAnswer: -31363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 9021.62 to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**2 + 4*w**2 + 3*w**2)*(18*w**2 + 3*w**2 - 3*w**2).\nAnswer: 108*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -20241236110.4 and 0.1.\nAnswer: -20241236110.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of y**5\/20 + 7*y**4\/24 - 5*y**3\/3 + 5. Let z(t) be the third derivative of b(t). Differentiate z(p) with respect to p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 27 + 15. Let x = 73 - g. Is x a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 5 + 2*a**4 - 188*a**3 + 280*a**3 + 2*a**2 - a**4 - 173*a**3 to the form b + p*a**2 + w*a + v*a**4 + o*a**3 and give o.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 160957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.6? (a) 33\/7 (b) 0 (c) 3 (d) 1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.37 + -83.63. Let h = -88 - n. Let i = -32 - -131\/4. Which is the closest to -0.1? (a) i (b) h (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94491049?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9034527?\nAnswer: 3, 61, 49369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 - 155 = -2*k. Let q = k + -82. Which is smaller: q or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -3 - 5 - 2 - 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8568*j**5 + 3234*j?\nAnswer: 171360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 3*p**2 - 96*p + 219. Calculate the smallest common multiple of i(33) and 18.\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t + 4*t + 20 = -4*q, 6 = -5*t - 4*q for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 66079?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27078.\nAnswer: 2, 3, 4513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 22, -1\/8, -0.08, 9 in ascending order.\nAnswer: -1\/8, -0.08, 5, 9, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13130000 and 68000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2124211 plus 6866.575?\nAnswer: -2117344.425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 338932505 to the nearest integer?\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**2 + 124*g - 26 + 2*g**2 - 124*g.\nAnswer: -2*g**2 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/43)\/j*(((j*j*j\/j**6)\/j)\/j)\/j*j)**8)**(-8\/5) assuming j is positive.\nAnswer: j**(16384\/215)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/135 and 181\/4320.\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0 = 2. Suppose -4*u = -p - t*p + 41, -4*u - 3*p - 23 = 0. Let s be (-18)\/u + (-2)\/8. Solve s = x - 3 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*m = -73*m + 87. Let i(k) = k**3 + 7*k**2 - k - 7. Let o be i(-7). Solve -6*v - 4*g = -m*v + 35, o = v - 2*g - 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**2\/2 - 45095*t + 406711805\/2 = 0 for t.\nAnswer: 9019","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.769 times 0.4\nAnswer: 0.3076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117118 = 3720*p + 9618 - 380 for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**4\/4 + 31*q**3\/2 - 195*q**2\/4 + q + 65 = 0.\nAnswer: -65, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 148202 + -148202.0107893. Round j to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*a*v**2 - 6530*a*v + a + 2*v**2 - 971 wrt v?\nAnswer: 4*a*v - 6530*a + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzdzzzzzzz. Give prob of sequence zz.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.129181526 to four dps.\nAnswer: 3.1292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 901355.8mm?\nAnswer: 901.3558","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/(55*(-51)\/(-2805)).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 971289851 + 2217.\nAnswer: 971292068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1655040.\nAnswer: 2, 3, 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a - 1384*a**3 - 4*a**2 + 7 + 1382*a**3 + 3*a - a**2 in the form x*a**3 + i*a**2 + v + p*a and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15.64 * 360.\nAnswer: 5630.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2 + -2 + -3*(2 + sqrt(12)\/(sqrt(16)\/sqrt(4))) + -1))**2.\nAnswer: 168*sqrt(3) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -0*o + 33. Suppose 3*w - 172 = -w. Calculate the remainder when w is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*j + 34 = 0, 0 = y - 5*y - 2*j + 178. Is y a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j - 2. Let v be u(7). Suppose v*l - 120 = 2*l. Let n be 2\/4 + (-76)\/(-8). Calculate the highest common factor of n and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4531393111 to the power of 1\/3, to the nearest integer?\nAnswer: 1655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/32 and 105\/208.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 35*t**3 + 4520*t**2 + 4320*t - 165. Let b(s) = -2*s**3 - 251*s**2 - 240*s + 9. Let r(f) = -55*b(f) - 3*l(f). Factor r(h).\nAnswer: 5*h*(h + 1)*(h + 48)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -546 + 541. What is the second smallest value in -3, -6, j, 2\/15?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5\/4, 4\/3, -4\/15, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6c5b (base 13) in base 10?\nAnswer: -15286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g - 22*g**3 - 37*g**3 - g.\nAnswer: -59*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -t**5\/20 + t**4\/4 + t**3\/2 + t**2 + 15*t. Let h(a) = -a**3 + a**2 + a + 1. What is 2*h(i) - l(i)?\nAnswer: -i**3 - i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/115, 1\/4, -0.0241, -141.\nAnswer: -141, -0.0241, -2\/115, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2423 - 1151. Find the second derivative of -26*o - w*o**2 + 1223*o**2 - 5*o wrt o.\nAnswer: -98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 divided by -58140.\nAnswer: 11\/9690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*y = -4 - 3, 0 = 3*m - 2*y - 17. Solve m*g + 4 = g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1846929 and -0.74.\nAnswer: 1366727.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -14, -4, 38, 130, 290, 536?\nAnswer: 886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -43 and -733368.\nAnswer: -733411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 115.35 - 116.411. What is d rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 + 2. Calculate the remainder when t is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26 - -36. Let s(n) = -n**3 + 13*n**2 + 15*n - 10. Calculate the remainder when v is divided by s(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -168 + 175. What is the remainder when w is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cz when two letters picked without replacement from ccuuucccucuzccu?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32291, -2232, 5 in descending order.\nAnswer: 32291, 5, -2232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 12*-7*(0 + (-1573)\/26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t + 3 - 3)*(-1 + 1 + 3)*(2*t**2 - 3*t**2 - t**2) + (t**2 - 2*t**2 + 3*t**2)*(199830 + 1269*t - 199830).\nAnswer: 2550*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 810*b - 18*b**2 - 108*b**3 + 739*b + 36*b**2 - 95*b - 16*b**2 wrt b?\nAnswer: -648*b + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 419*d**3*g - 22369*d**3 + d**2*g - 3*d*g + 1746415*g wrt d?\nAnswer: 2514*g - 134214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 21, 31, 53, 93, 157, 251, 381?\n\"Answer: q**3 + 3*q + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 221 and 442663?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - 8. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -9\/397904?\nAnswer: -9\/397904","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88 - 55. Calculate the remainder when 130 is divided by s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 106?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -27*n - 25. What are the prime factors of u(-4)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28952 to the nearest one hundred.\nAnswer: 29000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -54, 573, 1.7, -3?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 39 = -5*t - 18, -2*d + 18 = -2*t. Let y be (-361)\/4 + 9\/t. What are the prime factors of 14\/y + (-238)\/(-26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/5 - (-2429)\/35 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 956 divide 583900441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 125 = -4*b + 39, 5*o = -b + 56. Find the second derivative of 1 - 5*t**5 - b*t**5 - 2*t - 22*t**5 wrt t.\nAnswer: -1260*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/16 and -56\/15.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15904633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1910 - (-6)\/(9\/(-3)). Let q be (g\/6)\/(2\/(-3)). Suppose 5*n + 5*t = 2*n + 458, 3*n + t = q. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -831104 divided by -4832?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19744873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43723 or -5595?\nAnswer: -43723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 5 + 4. Calculate the least common multiple of 12 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -1156*x - 6924. What is u(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 - (-25)\/15)\/(5\/(-1740)). Let o = z - 618. What is the hundreds digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the third derivative of m**5\/12 + m**4\/12 - 2*m**3\/3 - 21*m**2. Let b(f) = f**3 + f - 1. Calculate 2*b(w) - p(w).\nAnswer: 2*w**3 - 5*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 22.3 (b) -1\/6 (c) -1 (d) 5 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of l**3*q - 7*l**3*w - 30*l**2*q*w - l + 4*q**2*w + w wrt q.\nAnswer: l**3 - 30*l**2*w + 8*q*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n + 18*n - 36*n + 7*n.\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -4606.\nAnswer: -13818","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 469569 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/(-2))\/(-219 + 216). Is x smaller than -1373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 102, -1\/10, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 40*n**2 + 24. Calculate the remainder when 478 is divided by p(40).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.4, 9, 0.\nAnswer: -2, -0.4, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (57 - 59) + -6 + (0 - 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 601295 (base 11) to base 14\nAnswer: 1b2a99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k - 10. Let g be h(-3). Suppose -12 = -4*y, -g*y - 14 - 12 = -4*f. Let t be (-2)\/(8\/(-20)) + 2. Solve 6*u = -c + 2*u + f, 4*c = -3*u - t for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*s + 18*s + 44 = -4*b, s = 3*b - 5015 + 5035 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 11101001?\nAnswer: -11101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -6177777*i**2 + 5*i + 8. Suppose 4 = -4*v + h - 3, -v = -h - 2. Let d be p(v). Round d to the nearest one million.\nAnswer: -56000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of l**5\/5 + 29*l**4\/6 + 112*l**3\/3 + 49*l**2 - 38*l + 2. Solve w(c) = 0.\nAnswer: -7, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124 - 70 = 27*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 69*j**3 - 9*j**2 + 13*j + 72. Let t(w) = -17*w**3 + 2*w**2 - 3*w - 15. What is 2*p(x) + 9*t(x)?\nAnswer: -15*x**3 - x + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**4 + 675*p**2 - 683*p**2 + 4*p - p to the form z*p**3 + o*p**2 + b*p + r*p**4 + x and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1267*y**2 + 641*y**2 + 630*y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1668)\/8)\/((-27)\/18). Suppose 132*i = n*i - 10885. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, -0.7, -25, 4.9, -1, -2\/25, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 15*r**5 + 39*r**4 - 63*r**3 - 147*r**2 - 24*r + 36 = 0?\nAnswer: -3, -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/3*(-2)\/4. Let i(m) = -m**4 - 2*m**3 - 6*m**2 - 3*m - 3. Let x(b) = b**3 + b**2 + 1. Let u(h) = z*i(h) + 5*x(h). Factor u(k).\nAnswer: -(k - 2)*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + t + 17 = 0, 3*w - 635*t + 640*t = -16. Factor -1 - 1\/4*u**w - 1\/2*u**2 + 7\/4*u.\nAnswer: -(u - 1)**2*(u + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-12)\/(-9))\/(3\/((-18)\/4)). Let u be 399\/95 + (r - (-18)\/10). Suppose 5*q = 2*x + 3, q + u*x = -q + 6. Which is smaller: 23 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -179055 or -716225\/4?\nAnswer: -716225\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuftuyufue. Give prob of picking 1 e and 1 y.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 63085\/231 + 15 - (-1 - 69\/(-63)). Solve 24*c = -24*c + i for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 6:10 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34253, 34093, 33933, 33773, 33613?\nAnswer: 33453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - (sqrt(68) - 2*sqrt(68)*3))\/sqrt(4)*-6 + -3*sqrt(68)\/(sqrt(4) + 1*sqrt(100)).\nAnswer: -73*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43332213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a milligram in micrograms?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 141350*n - 848100. What is h(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 356\nAnswer: -1\/178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1050 and 233903075.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 749*n - 39720. Calculate j(53).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.018359, 48, 0, 4, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*w = -87*w + 72*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of 10*z + 0 + 1\/2*z**2. Let u(d) = d. Let c = 0 - 1. Determine c*u(h) - 2*t(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, -155, 0 in descending order.\nAnswer: 0, -54, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h = 277 - 229. Put h, -7, 13 in ascending order.\nAnswer: -7, h, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 397949, 795941, 1193977, 1592057, 1990181, 2388349?\nAnswer: 2786561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 3*m**2 + 4*m + 2. Let p be f(-4). Solve 2*x - p = -4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/688 and -87\/1064.\nAnswer: 91504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, g: 5, s: 2}. Give prob of sequence ggdd.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -296, -557, -746, -827, -764, -521?\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 852548 is divided by 106568.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 9:18 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -d + 21, -2*p + 6 = -2*d + 84. Let j = 107 + 181. Let o = j - -108. What is the greatest common divisor of d and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/71 + 152\/355. Let x = -19888\/5 - -4060. Let k = 82 - x. Is k <= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-907625)\/274)\/(2\/128). What is n rounded to the nearest ten thousand?\nAnswer: -210000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(275\/240))\/(((-147)\/490)\/(-1)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4848*p**3 + 4846*p**3 - 2 + 2.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -554216421?\nAnswer: 554216423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in 7, 387\/5, 1\/3, -12\/5?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -4 (b) -1\/3 (c) -6.42 (d) -13 (e) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38588955653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 737 - 2209 - 322*x + 733 + 739 to the form l + h*x and give h.\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s - 33 = -25*s. Suppose -5*b - 51 = -7*g + 5*g, -g = s*b - 31. Is g less than or equal to 29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -4*p - 28. Let b be i(-10). What is the tens digit of ((-224)\/48)\/((-2)\/b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*270\/(-81)*(-6)\/40.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1150 + 8127. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -12890 (b) -60 (c) 1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1176*d**2 + 3524*d - 12.\nAnswer: 4*(d + 3)*(294*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3)*c)**(-11) assuming c is positive.\nAnswer: c**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (17 + -10) - -10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*b - 8 = 0. Suppose z - 5 = 0, -49 = -b*c - 3*z - 16. List the prime factors of 21\/27*6*c.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from lhhhlpahkghlphaahhh.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, i: 2, l: 1, y: 1, e: 2, v: 1}. What is prob of picking 1 c and 1 i?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 819.6733ml to litres.\nAnswer: 0.8196733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 7. Let b be j(3). Let r be b\/6 + 10\/6. Suppose -2*h - 2*q - 6 = 0, -5*h - 19 = -4*q + 5*q. Put h, -5, r in ascending order.\nAnswer: -5, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -40\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -510, -501, -490, -477, -462, -445, -426?\nAnswer: -405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4b + 3b0677?\nAnswer: 3b0629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 87390 divided by 6\nAnswer: 14565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 4*c - 4*c)*(-c + c - c**4) + c**5 + 11*c**5 + 3*c**5 + (3*c - 3*c**3 - 3*c)*(5*c**2 - 3*c + 3*c).\nAnswer: 7*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 4*o - 7. Let k be i(-3). Let u be (1\/(-6))\/(-3 - 35\/k). Let m = 9\/4 - 3. Which is the smallest value? (a) m (b) -1\/6 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1568354992.41379208 + 16.41379208. Let w = c + 1568354955.00000051. Let p = w + 21. What is p rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1244 + 1251. Solve -g*r + 1825 - 1874 = 0 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.1 (b) -7 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 5 + 3)*(i - 3*i + i)*(-7*i**3 + 16*i**3 - 65*i**3) to the form t + m*i**2 + k*i**4 + a*i + y*i**3 and give k.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49 = 2*j + 14*p - 39*p - 107, -20*p - 18 = -37*p + 20*p for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 850284 and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*t - 2*x, -3*t - 2*t - x + 1 = 0. Let k be 24 - (t\/13)\/(1 - 0). Suppose -k = -2*d + 22. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/19 (b) -4 (c) -1\/3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, -5495, 5\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (292 + -1 - 299) + (-2 - 2) + (1 - 1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 15) to base 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -266 + 972. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 8:17 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -3*x + 3*o + 23, -o = -3*x + 57. Let g(k) = 41 + 38 - 14*k + 2*k**2 - k**2 - 9*k. Let b be g(x). Let l(u) = u - 3. Give l(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/6*(12\/(-10))\/3. Let m(r) = -5*r**3 + r**2 - 5*r - 2. Let u be m(-4). Let k = -5312\/15 + u. Sort -39, 0.5, k, c in increasing order.\nAnswer: -39, c, k, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3891, -7817, -11743?\nAnswer: -15669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(70))\/sqrt(2) + 1*(sqrt(175)\/sqrt(5) - sqrt(35)))\/((sqrt(200)*1)\/sqrt(10)).\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 3, z: 7, r: 3}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 4*i + 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/59, 0, 1 in increasing order.\nAnswer: -6\/59, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/442 and 56\/2979743.\nAnswer: 5959486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49 divided by -49.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8966, 9681, 11562, 15173, 21078, 29841, 42026, 58197?\n\"Answer: 94*y**3 + 19*y**2 + 8853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1726*z**4 - 56*z**3 + 4*z - 1147345 wrt z.\nAnswer: -6904*z**3 - 168*z**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**15\/(a*a\/(a\/((a**(-2\/9)\/a)\/a*a))*a*a))**2 assuming a is positive.\nAnswer: a**(238\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -24530, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - ((0 - 2) + (30 - 23))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33074217?\nAnswer: 3, 11, 193, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.02 times -984?\nAnswer: 1987.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + (16 - (-7 - -16)) - -22?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4140.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = y - 88, -2*l - 2*l + 240 = 3*y. Does 19 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43.918 + 44. Let c = -0.0820557 + b. What is c rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m**4 + 1866*m**3 + 108106*m**2 - 82602*m - 27378 = 0.\nAnswer: -117, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 70292*k**3 + 4*k**2 - 223*k - 444?\nAnswer: 421752*k + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-1\/12)*m*m**(-1\/8))\/((m\/m**(-1\/5))\/(m*m**(-1\/7)\/m)))\/((m**(-2\/3)\/m)**(-11))**(-19) assuming m is positive.\nAnswer: m**(97659\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: Suppose 3*u = -29*u + 480. Suppose 2 = -k - 2*v, 14*v = 5*k + u*v + 1. What is the closest to 8\/13 in -3, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00024041 rounded to 5 decimal places?\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4271\/174 - -69\/29. What is the common denominator of k and 26\/5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -3*w**5\/20 + 5*w**3\/6 - 7*w**2. What is the first derivative of h(u) wrt u?\nAnswer: -18*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -8207686, -16415392, -24623098?\n\"Answer: -8207706*z + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 7:28 AM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**2 - 5022*t + 35252 = 0.\nAnswer: -2518, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -8192, 2, -0.2, 3 in increasing order.\nAnswer: -8192, -0.2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 17*j + 14. Let w be k(-16). Let c = 8 + w. Which is greater: 7 or c?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9413286 times 0.2?\nAnswer: 0.18826572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -50*n**2 + 3*n + 3. Let d be p(-2). Does 12 divide (d\/2)\/(-7)*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 344.2504 millilitres to litres.\nAnswer: 0.3442504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-10)*15\/6. Suppose -2 = 3*q - b*j + 10, -8 = 2*q - 4*j. What is the tens digit of 2 + q - 29\/(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*a - 3 + 3 + 5*a - 8*a - a + (-a - 4*a + 3*a)*(5 - 3 - 1))*(1 + 1 + 1) in the form h*a + r and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23*v**2 + 5*v**2 + 68*v**2)*(0*v**2 - v + 2*v**3 + 0*v**2).\nAnswer: 192*v**5 - 96*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -2 + sqrt(1700) + 4 + 5)**2.\nAnswer: 140*sqrt(17) + 1749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47656 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**3 - 28*v**2 + 54*v - 27. Let c be t(17). Suppose 46*q - 1653 = c. What is the remainder when q is divided by ((-4)\/(-10))\/((-1)\/(-60))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 174?\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*t + 734 = 0, -1270 = -8*d + 3*d + 5*t. Does 4 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 15343*a - 5968406. Give q(389).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -168, -213, -336, -573, -960, -1533?\n\"Answer: -6*p**3 - 3*p**2 + 6*p - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31.819 + -31.79. Which is the nearest to 1? (a) g (b) -3 (c) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 7:19 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/132 and -109\/66.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 11 = 3*p, 3 = 2*p - 2*t - 3. Suppose 2*d = 2*m - 8, -m - 3*d = p*d + 8. Are 1\/2 and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 11 = 2*l, 2 = -132*l + 134*l for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 494 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -q**3\/3 + q + 6. Let c(v) = 7*v**2 - 3*v - 5. Let b = 3 - 2. Let s(r) = b*c(r) + 6*d(r). What is s(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 11:32 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in centimeters?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, -40, -217, -482, -829, -1252, -1745?\nAnswer: -2302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 56243045761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 - -77\/4. Let l be -1*(-2)\/(20\/2). What is the biggest value in s, l, 0.09?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3*2 + (-2360)\/(-392). Let u(t) = -t**3 - 7*t**2 + t + 6. Let h be u(-7). Are h and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -283 = -5*z + 372. Suppose 3*y - 182 = 4*j - 49, -3*y + 5*j = -z. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*(-49)\/111132*(-4 + (-114)\/(-24))?\nAnswer: -1\/216","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 - 13\/3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25961 = -2*g + 3*t, -5*g = -5*t - 4314 - 60586. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9306 and 3102?\nAnswer: 9306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + -3 + (17 - 15). Let f = 53.053 - 0.053. Let n = f + -62. Sort n, 0.2, b.\nAnswer: n, b, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -340 - -351. What is the remainder when x is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1070 - -1070.5855. What is k rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*q - 3*q = -132 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26623944 and 288.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/151852938 and 7\/21078.\nAnswer: 455558814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -167 - -190. Differentiate -51*f**2 - w*f**2 + 269 - 213 with respect to f.\nAnswer: -148*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j + 2. Suppose -3*y = -3*a + 21, -a + 5*y - y = -7. Let l be f(a). Is l > -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 + 18 = 3*h. Suppose -4*s + h = -32. Calculate the highest common factor of s and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-10)*(-6 - -1). Let u(r) = k*r + 2*r + r. Is u(1) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 917 is divided by 67.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j - 4*j + 0*j - 1)*(1 + 1 - 4)*(4*j - 6 + 6)*(-6*j**2 + 11*j - 11*j).\nAnswer: -192*j**4 - 48*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 34543525967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -152*z - 6225. Let q be a(36). What is q rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -350*x - 329*x - 771472 = -692*x. What is the ten thousands digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 0\/(-1) - (-29 + 15) and 24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z + 9. Give c(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 - -36560\nAnswer: 36559.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45270*s**3 - 128*s**2 + 311584270*s wrt s?\nAnswer: -271620*s - 256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 44 = 3*x. Suppose -x - 29 = -4*o. Let j be (-4)\/o + 2\/5. Solve 2*s + 25 = -5*w, 3*s - 2*w + 1 + 8 = j for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2\/7 + 69*h\/7 + 66\/7.\nAnswer: 3*(h + 1)*(h + 22)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - v)*(2 - 2 - 6) + (v - 2*v - v)*(-2 + 4 - 1) - 4*v + v + v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10499 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) 2\/9 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g, -3*n - 3*g + 22 = -11. What is the remainder when 32 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2*1*sqrt(1872) + sqrt(1872)))**2*3*2.\nAnswer: 2527200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i**2 - 110*i - 705. Give h(-8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 25 = 4*n, -409*n = 4*x - 410*n + 19 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x - 141*x**2 - 179*x**2 + x**3 + 0*x**3 + 256*x**2 as g*x**2 + o + q*x + k*x**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/10 - 324\/(-10). Let a = 82 - t. Suppose 4*j - 2*j = a. Does 11 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 - 3*x - 2. Let g be j(4). Let m = 5 - g. Suppose -m*p - 3*b = -6 - 9, -b = -3. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g - 6. Let w be s(-4). Let f be (4 - w)*13\/(-2). Let h = f + 26. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_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 u be 4 + 2 + -2 + -3. Suppose 5*s = -5, -s + 4 = -3*m - u. Let x be m\/4 - (-105)\/10. What is the greatest common divisor of 10 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3125388813 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/851 and -63\/2500.\nAnswer: 2127500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6623, 12971, 19307, 25631, 31943, 38243, 44531?\n\"Answer: -6*a**2 + 6366*a + 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiiiiiiiigiiii. Give prob of sequence igi.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001061464 to five decimal places.\nAnswer: 0.00106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-207)\/(-54))\/(-23))\/2.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 9:33 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**3\/3 - 6976*c**2\/3 = 0. What is c?\nAnswer: -1744, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1048\/14 + 10\/70. Is 44\/(-6)*b\/(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*a = 199*a + 458*a - 552. Let u(g) = g**2 - 5*g - 1. Let p be u(4). Sort a, -60, -3, p in ascending order.\nAnswer: -60, p, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1080)\/10395)\/((-40)\/210)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -252 divided by -63?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*b - 166 = -33 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 - -271. What are the prime factors of n?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-44)\/22)\/(4\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of h**2\/2 - h - 3. Let k be g(5). Calculate the highest common factor of 44 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-76)\/95)\/(48\/20).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22824 and 28422.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 82.9655 years?\nAnswer: 0.829655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.03, 2\/9, 1\/5, 3.14.\nAnswer: -0.03, 1\/5, 2\/9, 3.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2291, -2340, -2389, -2438, -2487?\n\"Answer: -49*p - 2242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10717447 + -6517447. What is v rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dqu when three letters picked without replacement from {n: 1, d: 7, u: 3, w: 3, q: 2, m: 1}.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**3 - 6*l**3 + 4*l**3)*(9*l + l + 4*l)*(3 - 6 + 1 + (36 + 6 - 17)*(4 - 4 + 1)*(-1 + 3 + 0)).\nAnswer: 1344*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55 and 3179410.\nAnswer: 34973510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j. Let z be -1*(-3)\/(-24)*-6*-8. Let o(i) = 22*i. Determine z*o(p) - 68*w(p).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.6? (a) 0.1 (b) 4 (c) -2\/7 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 45920 and -0.5.\nAnswer: 45919.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-64))\/(10\/(-80)*2)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-17)\/(0 + (-3 - -2)) is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -12*b**2 - 10*b - 73. Let z = 213 - 212. Let d(v) = -2*v**2 - v - 1. Let f(q) = z*n(q) - 4*d(q). What is the derivative of f(a) wrt a?\nAnswer: -8*a - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1943\/2745 - -32\/45. Let g = p - -899\/4880. Which is bigger: g or -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 463 is divided by 113?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17922102 is divided by 284.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -1\/3, -4, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*x**2 - 308*x - 18922 wrt x?\nAnswer: 24*x - 308","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 20416*s - 183116. Determine r(9).\nAnswer: 628","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 9*o + 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 154 and 16230907.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence be when two letters picked without replacement from crdcecb.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.042563 and 1019.\nAnswer: 1015.957437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -13*o**2 - o + 1. Let c(h) = -67*h**2 + 2*h + 20. What is c(d) - 5*p(d)?\nAnswer: -2*d**2 + 7*d + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 12 + 36. Is (-4)\/(s\/(-1244)) - (-30)\/(-6) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 25.11. Let z = b + 0.61. What is the third smallest value in z, -2\/5, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z + 22713*z**2 + 39*z**3 - 22713*z**2 to a + v*z**2 + x*z**3 + y*z and give x.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -3*n + 37 - 55, -3*j + 17 = -2*n. Let d = -61 - -43. What are the prime factors of 4 + n - (d*9 + -1)?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.17 + -3.17. Which is the second smallest value? (a) o (b) 0.4 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 3:09 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7676 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -6951 + 13874 - 6924. Let u(y) = y - 1. Let h(m) = -m - 1. Let q be h(-4). Let o be (1\/3)\/((-1)\/q). Determine o*z(i) + 2*u(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0105 to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (350 - 725 + 419)*(-o - o + 4*o) to the form y + r*o and give r.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(0 + -2 + sqrt(5))**2*-1.\nAnswer: -12*sqrt(5) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5280892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29768*u**4 + 29771*u**4 - 59538*u**4 + 5*u**2 + 27 - 2*u to m + t*u**4 + x*u**2 + v*u + z*u**3 and give m.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 653151.5 and 7.8.\nAnswer: 653159.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000041 to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 11:17 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 4*g**2 + g**2 + 2*g - g - 4. Suppose -2*i + 4*n = 18, -20 = -5*i - 2*n - n. Calculate the smallest common multiple of u(5) and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 82 = -23. What are the prime factors of g?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 308 and 168.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, 1, -8\/5, 1653?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -188*t**3 - 8*t**2 + t + 1. Let b be y(-1). Suppose 0*u - 360 = -5*u. What is the greatest common factor of b and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*o = -7*o + 277860. List the prime factors of o.\nAnswer: 5, 11, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 3*r, 0*h - 3*h + 4*r = 11. Let s be h + -1 + 0 + 293. Suppose -s - 555 = 5*z. What is z rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 40992*a**3 - 4*a**2 - a - 893?\nAnswer: 245952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.069 and -139643159?\nAnswer: 139643159.069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/(-2) - -1)*-4. Suppose i + 25 = b*i. Suppose -i*u = -u - 24. Solve 0 = s + 4*v - 3*v + u, -5*s = 3*v + 28 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14419962 and 25635488.\nAnswer: 230719392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1334 + 1358. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -0*p. Suppose 7 = -2*y + 3*u, -17 = -p*y - 5*y - 4*u. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101141603378 - 0.\nAnswer: 101141603378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/32 and -15\/68?\nAnswer: 544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 63345\/5665 - 22*2\/4. Which is the nearest to 0.05? (a) -1\/2 (b) 2 (c) g (d) -65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 11.9318 and 0.03205?\nAnswer: 11.89975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3 (b) -1\/46 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2576 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 22, 35?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/46760602 and -3\/1078.\nAnswer: 514366622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 z when two letters picked without replacement from {n: 1, z: 1, a: 1, s: 1, i: 2, g: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/72 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.23 - 3.77. Let a = 1 - x. Let o = 5.00013 - a. Round o to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d + 4 - 0. Let n be (-16 - -10)\/2*d\/(-15). What is the nearest to 1\/2 in 21, n, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 100.3 + -99.9. Let h = 0.3 + -0.1. Let y = h - 0.16. Sort -0.4, f, y in descending order.\nAnswer: f, y, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3546 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -60334?\nAnswer: -2\/30167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((4 - 0) + 6)\/(50\/20). Solve 5*k - y*t = 40, -3*k - k + 1 = 3*t for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/12? (a) -1\/8 (b) 2 (c) 0.381 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20 + 21 - 60)*(-17*i + 14*i - 19*i) to the form g + x*i and give x.\nAnswer: 1298","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3661761 is divided by 98.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/342 and 79\/912?\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.33 * -99.86.\nAnswer: -32.9538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2010\/105 + 228\/266.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4262*k + 4269*k - 2 + 2. Give l(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -250 divided by -50?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22433005 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 8:24 PM?\nAnswer: 3:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -2\/5 (b) -2 (c) -3\/19 (d) -0.333 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 - -229\/8. What is the common denominator of v and -54\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 702 and 156.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -1. Suppose -3*y = 2*h + t - 7, 3*y - h = 6. Factor j - j**y + j**3 - j.\nAnswer: j**2*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 3*a + 4. Let q(o) = o**2 - 4*o. Let b be q(a). Let r be (-4)\/2*(-4)\/(-56). Which is smaller: r or b?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -14096, -578 in ascending order.\nAnswer: -14096, -578, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = r - 6*r. Let i = -6 + r. Suppose 0 = i*m + 2 - 331. List the prime factors of m.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 223 divide 2233045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of -v**5\/20 + v**4\/12 - 3*v**2 + 6*v. Let z = -2 + 4. Suppose 0 = 4*l - 4*n + 8, -3*l + z*n + 1 - 5 = 0. Calculate y(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -414.49 and -0.2082.\nAnswer: -414.6982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 345623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3515498305 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -3203 at least -3099?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -361 - 3*s + 2*s**2 + 3*s.\nAnswer: 2*s**2 - 361","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-150)\/(-9)*36\/8. Suppose 30 = 2*n - 0*n. What is the highest common divisor of n and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - 113*x**2 - 1879*x - 26. Calculate z(-23).\nAnswer: -4419","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -239401810 to the nearest 100000.\nAnswer: -239400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 824077 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 j when two letters picked without replacement from {k: 3, j: 1, q: 6, v: 3}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 12, r: 4, z: 2, x: 1}. What is prob of sequence ff?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxvvxvvxxvvxvx. Give prob of picking 2 v and 1 x.\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 13) to base 3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/13*27\/(-6))\/((20250\/(-108))\/125)?\nAnswer: -30\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 0*a - 36. Suppose 6*r - r - 2*o = 21, 0 = 3*o + a. Let g(f) = -f**3 + 13*f**2 + 14*f - 4. Let p be g(14). Put 1, p, r in ascending order.\nAnswer: p, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 4 - 1 + 3 + 14*n + 10 + n**2. Let x be i(-12). Let u be (x\/5)\/(2\/(-5)). Solve 2*t = -u*b + 4*t - 2, 1 = 5*b + t for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = v + 9, -3 = -2*n - 4*v + 15. What is the highest common divisor of n and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 18*m**2 + 7*m + 15. Let i(g) = -12*g**2 - 5*g - 10. Let u(q) = -7*i(q) - 5*o(q). Let t(f) = 7*f**2 + 6. What is -5*t(v) - 6*u(v)?\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 79 = -59 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 20*s - 53. Let q be k(3). Calculate the highest common divisor of q and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 a factor of 377863791?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1)**30\/(q\/q**0)**(-12\/13))\/((q*(q*q**(-4))\/q*q)\/q*q**(2\/9)*(q*q\/q**6*q)\/((q*q**(-2\/7))\/q)) assuming q is positive.\nAnswer: q**(29824\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(343)*2)*-6 + -5 + (sqrt(343) - (0 + sqrt(343) + -5)) + -6*(sqrt(343) + sqrt(343) + sqrt(343)*2) + -1)**2.\nAnswer: -8568*sqrt(7) + 444817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*p + 4*r - 15, -4*p + 4*r = -8. Let h = p - 1. Calculate the remainder when 21 is divided by (-6)\/((-2)\/8*h).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-22)\/8 + 3 - 22\/(-8). Is a equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4686)\/(128\/(-8448))?\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 4*c**2 + 4*c - 3. Let b be f(2). Let n(d) = 1429*d - 1440*d - 24 + 48 - 26. Let o(g) = 6*g + 1. Determine b*n(h) - 5*o(h).\nAnswer: 3*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 9*w**2 + 39*w - 159. Give r(9).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 54\/11*q - 10\/11*q**5 - 4*q**3 - 54\/11 + 108\/11*q**2 - 54\/11*q**4 = 0. Calculate q.\nAnswer: -3, -1, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*q - q - 2*q)*(-2 + 2 - 2*q) - 4 + 4 - 2*q**2 + (q**2 + 1 - 1)*(-7 - 21 + 159).\nAnswer: 127*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 3*r - 4, r + 4*r = -10. Let v = l - -5. Let u = v + 11. Is u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 29*(-3 + -1 + 3). Let l = o - -44. What is the highest common factor of 105 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011011011100010101 - 10?\nAnswer: 1011011011100010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (-5 - (-9 - 0) - 10) - -4.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 112 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 176165476 by 377228.\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1365 - 1358. Let z(m) be the third derivative of 1\/3192*m**8 + 0*m**o + 1\/285*m**5 + 0*m**4 + 0 - 1\/380*m**6 + 10*m**2 + 0*m**3 + 0*m. Factor z(g).\nAnswer: 2*g**2*(g - 1)**2*(g + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t - 4 + 15 - 3 - 7. Suppose -5*a = 4*x + 5, -2*x = -6*x - 4*a - 4. Determine j(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2 = 6. Suppose -2*n - 3*n = 0. Suppose n = 2*j - m*j - 8400. What is j rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9322*w**3 + 9342*w**3 - 40*w + 5*w**4 - 18714*w**3 - 240 + 145*w**2.\nAnswer: 5*(w - 4)**2*(w - 3)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w = -9*w + 10, 5*n - 3*w = 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 245464 and 36661?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5*a + 5 = 0, 3*a = -r + a + 8. Let j be r + -1 - (-7)\/((-21)\/(-192)). What is the highest common divisor of 39 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5683.243 times -0.4\nAnswer: 2273.2972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1319 divided by -776?\nAnswer: -1319\/776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 4 = 3*y. Let f be y + 1 - (-2 + 1). Suppose -f*q = -8*q. Solve 2*b - 4 - 5 = -m, -4*m + 4*b = q for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49)\/(-98)*6\/(-5)*(-30)\/(-21).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3592 + 3596. Let r = 0.3 + 1.7. Which is the nearest to -0.1? (a) r (b) v (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.7 - -2. Suppose -10 = 5*i + 5*u, -5*i + 2*u - 22 = 3*u. Let a be (i\/(-2 + -3))\/1. Which is bigger: v or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - -94a6ca?\nAnswer: 94a6ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a - 177b3?\nAnswer: -17801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*p - 2588 + 7926 = -18322. Calculate the greatest common divisor of p and 416.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22\/15 - -9\/5. Does o = -28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 124, 1, -11, 24 in increasing order.\nAnswer: -11, 1, 24, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -659 - -664.89. Let c = 4.89 - j. Let v be (-3*(-8)\/6)\/7. Sort c, -14, v.\nAnswer: -14, c, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7780181\/5 greater than or equal to 1556035?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13913 is divided by 118.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 438 divided by 73\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1223624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -430, -41, -5, 11, -2 in ascending order.\nAnswer: -430, -41, -5, -2, 0, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 2*u + 1 - 6*u + 5*u. Let d(t) = -2*t - 2. Let n(j) = -d(j) - 2*f(j). Let w(z) = 4*z**2. Determine n(w(c)).\nAnswer: 32*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16 - 0)\/((-2)\/(-6)*-3). Suppose -20 = -5*v + c + 4*c, 4*v + 4*c - y = 0. Suppose -43 + v = -q. What are the prime factors of q?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 12*w + 80 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-91)\/(-26)*(-16)\/(-42)*12\/8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m + 17. Let h = -8832 - -8832. Give c(h).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 30?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 3*u - 3*m - 6, u - 8 = 5*m. Let x(k) = -u*k - 1 - 2 + 6*k. Determine x(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 3:26 AM?\nAnswer: 1:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - s. Let k be z(-3). Let r(i) = -i**2 - 10*i - 7. List the prime factors of r(k).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204186.\nAnswer: 2, 3, 34031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 = -2*d - 4*s + 16, 4*d - s + 214 = 0. Let h be 6*8*(-11)\/(-6). Let c = h + d. Which is greater: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/15*0*(-2)\/(-4). Solve -v + r + 6 - 2 = n, 5*r + 12 = 3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 6. Let k be 8\/(-12)*-3 + (-2)\/1. Calculate p(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5854918 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**2 + 4*z**2 - 4*z**2)*(-5427 + 5427 - 66*z) + (z**2 - 2*z**2 + 2*z**2)*(4 + 16 + 9)*(2*z - 2*z - 2*z).\nAnswer: 74*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 30897 (b) -0.4 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 88\/10*(1605\/30 + 4). What is the greatest common divisor of t and 220?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 0 + sqrt(245))*-5.\nAnswer: -35*sqrt(5) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -82688.7 rounded to the nearest 100?\nAnswer: -82700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3504 - 3499. Solve -x = 7*u - 8*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*n - 4*w - 134, 3*w + 138 = 4*n. Let u = n + -23. Calculate the greatest common divisor of u and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -369*v + 57565. What is s(156)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4 = x. Suppose x*p - 2*a - 14 = -2*p, 5*p - 17 = 3*a. What is the units digit of (-2 + -1 - -1) + p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 9 (c) -1.9 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188 is divided by 34.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1074128 is divided by 214825?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 75.313886 to two dps.\nAnswer: 75.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/24 and -23\/150?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7015095km to millimeters.\nAnswer: 701509.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1628146837 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -s + 2, -21103 + 21116 = -5*u + 2*s for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 1256 - 166 = 0. Let v = 240 - z. Solve 2*n + 2*k = 4*k - 10, v*n + 5*k + 15 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 189 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*r - 5, -s + 3 = -2*r. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3672 = -4*d + 2*d, -4*d = -5*b + 9185. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 2*n - 4*i - i, 3*i = 5*n + 20. Let r(k) = -2*k + 4. Let x be r(1). Put 3, x, n in descending order.\nAnswer: 3, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3\/5)*a\/(a\/(a\/(a**(3\/7)\/a)*a))*a**(-12\/7)\/a*a**9 assuming a is positive.\nAnswer: a**(289\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*j**2 - 4*j + 4*j)*(-2 - 2*j**2 + 2 + (2 + 2*j - 2)*(-3 - j + 3) + 64 - 64 - 4*j**2) to p*j**4 + z + m*j**2 + a*j + f*j**3 and give p.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -0.0385?\nAnswer: 0.077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -199.3 + 199. Let i = -2.6 + 3. Let a = -0.46 + i. What is the smallest value in 1\/7, a, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-12) + (-21049)\/(-1302) - -3.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 8, 0 = -o + k + 4 - 0. Suppose -5*c - o = -31. Suppose 11 = -2*s + c*q, -5*q = 2*s - 8 - 11. Solve -2*t = x + t + s, -x = 2*t + 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11224582 times -4?\nAnswer: -44898328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o**3 - 35*o**2 + 13*o - 11. Let y be c(-12). Let u(l) = l**2 + 21*l - 42. Let x be u(y). Solve -x*z - 6 = -2*f, 3*f - 5*f = 5*z + 21 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 496078010?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2. Let a(u) = 8*u**2 - 32*u. Calculate b(a(v)).\nAnswer: 64*v**4 - 512*v**3 + 1024*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -167 + 171. Let i(u) be the first derivative of 4 + 1\/2*u**b - 4\/3*u**3 + 0*u**2 + 0*u. Find the third derivative of i(h) wrt h.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*v - 7 - 1 - 17*v + 32 with respect to v.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -19, -27, -35?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -30*p + 0*p**2 + 0*p**3 + 1\/24*p**6 + 5\/48*p**4 + 0 - 1\/8*p**5. Find k, given that h(k) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 4*w = 884, 0 = -2*x - 0*w - 3*w + 462. Suppose 230*h = x*h + 475. Let d = -50 + 74. What is the remainder when h is divided by d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5, 25, 55, 101, 169, 265, 395?\n\"Answer: x**3 - x**2 + 16*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 92551 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*1 + (14616\/396 - 32). What is d in -w + 182\/11*d + 18\/11*d**3 - 102\/11*d**2 = 0?\nAnswer: 1, 7\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32312 by -2308.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 126\/(-336)*(-7)\/(49\/(-60))*40\/(-60).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -79\/18 - -9\/2. What is the nearest to -1\/3 in 0, f, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 9 = 3*x, -o + 3*x - 18 = -2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 263602 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 108*w**5 - 123*w**5 + 314*w**5 + (-3*w**5 + 2*w**5 - w**5)*(-2 - 1 + 1).\nAnswer: 303*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2127267 to the nearest integer?\nAnswer: 1459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 288 and 480.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -121122 (base 6) to base 2\nAnswer: -10100110001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 11*b + 5. Let y(c) = 11*c + 4. Let x(z) = 6*o(z) - 7*y(z). Let w be x(3). Calculate the common denominator of 45 and (w\/3)\/(11\/3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -680 + 2?\nAnswer: -679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1870*q + 240 + 206 = -1951*q - 2227 for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + (-50)\/(-8))\/(90\/240). Suppose -98 = -0*t - t. Calculate the highest common divisor of q and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -0.3, -9\/2, 3, -5 in decreasing order.\nAnswer: 3, 0.2, -0.3, -9\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-13))**(11\/3) assuming c is positive.\nAnswer: c**(-143\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-840)\/(-24) - ((-2)\/(-1) - 5*1)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7791 + 18205. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*x - 3*x + 4518*x**2 - 990 + 6*x - 4905*x**2 wrt x?\nAnswer: -774*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**4\/24 + 5*y**3\/12 + y**2 - 16*y. Suppose n(w) = 0. Calculate w.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -348*i + 351*i - 3. What is the greatest common factor of i and 27?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42b3 (base 12) to base 11\nAnswer: -5569","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 50 + b?\nAnswer: 5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4258 + -13.25\nAnswer: -4271.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 2*y - 95 = 0, 3 = -t + 475*y - 467*y for t.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 93089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -43, -2416, 0 in decreasing order.\nAnswer: 41, 0, -43, -2416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -9b?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -185.2 + 185. Which is the smallest value? (a) 1 (b) f (c) -44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 - (-159)\/(-2332)*780.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + t = -m + 237, -2*m = t - 484. Suppose -r = 5*h + 88 - m, 5*r = -4*h + 145. Suppose -h*o - 4 = -31*o. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(14))\/sqrt(7) + (sqrt(98) + -3)**2 + (sqrt(896)*2 + sqrt(896))\/((sqrt(42)\/sqrt(3) - sqrt(14))\/sqrt(2) - sqrt(7)).\nAnswer: -63*sqrt(2) + 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 1\/6*w**2 - 1\/2*w = 0. Calculate w.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 527372 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 + 0.1. Let f = m + 0.1. Let g = f - -4.8. Which is the biggest value? (a) 0 (b) 3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -0 + 14. What is the remainder when d is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/12 + (-6)\/8. Let z(n) = 2*n**3 + 11*n**2 - 12*n. Let k be z(1). Let h(w) = -k + 54*w - 19*w - 31*w. Calculate h(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 55 = -0*g - 5*q, 3*q - 23 = -5*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*t**3\/9 + 436*t**2\/9 + 900*t - 154548 = 0. What is t?\nAnswer: -53, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0, -39, 0.9, 0.4, -33?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.557 + 356.557. Let d = -355.9833 + b. Round d to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 10, 5, -64214 in decreasing order.\nAnswer: 10, 5, 0, -64214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 187 divided by 6210\nAnswer: 187\/6210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5948 is divided by 124?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wpm when three letters picked without replacement from wmdpdwmdpdp.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 215830430185 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of 2*m**4\/3 + 29*m**2. Let j(b) = 6*b. Let l(k) = 2*k. Let h(a) = 2*j(a) - 5*l(a). Give h(x(o)).\nAnswer: 32*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -452 (base 6) to base 9.\nAnswer: -215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*d + 24*d + 53*d + 33*d + 1920 = 0 for d.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*l + 6*l + 12954. Let t = 184 - 160. What is the remainder when l is divided by t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - 23*z - 75. Let p be v(-19). Let o(a) = a**2 - 6*a + 17. Let n be o(4). Solve 0 = 5*k - p - n for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 0*d + 0*d**2 - d + d**2 + 73. Let x be h(0). Let o = -50 + x. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 3*j = 5*m + 7, -4*j = -m + 14. Suppose 6 = 4*b - m. Solve -5*y + 10 = -g - 1, 13 = -5*g + b*y for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*r - 4*r + 37*r)*(-4 - 2 + 0).\nAnswer: -252*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6746393365 and -0.006.\nAnswer: 6746393364.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 22426346*t. Let g(w) = -13*w**2. Calculate q(g(l)).\nAnswer: -291542498*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*m*q**3 - 2*m*q**2 + 53*m*q - 2*m - 5899*q**3 - q**2 + 71 wrt q?\nAnswer: 126*m - 35394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 29 = -q - 5*g, -4*g - 7 = -3*q. Is 42 a factor of q\/(-9) - 1006\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -12*j**2. Let s(l) = 10445*l. Determine s(o(a)).\nAnswer: -125340*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.04 (b) -96 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(90)\/((sqrt(4)\/sqrt(2) - sqrt(2)) + sqrt(2) + sqrt(2)))\/sqrt(3))\/(sqrt(27)\/(-2*sqrt(9)*-2 - sqrt(9))))**2.\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -198 + 349. Suppose -41 = 5*h - g. What is the least common multiple of h and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301105 is divided by 97064.\nAnswer: 9913","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3 = -12, 4*l - 17 = -3*j. Let h(z) be the second derivative of 1\/24*z**4 + 0*z**3 + 0 + 0*z**l - z. Factor h(q).\nAnswer: q**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -115, -231, -347, -463?\nAnswer: -579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/3)\/(l\/(l*l**5))*l**(-2\/7)\/l*l**(7\/4) assuming l is positive.\nAnswer: l**(403\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -810 + 807. What is the smallest value in o, -1, 16\/3, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -104 - -833\/8. Let i = 43\/33 - 1577\/2046. Let g = 1\/31 - i. Which is smaller: g or p?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 5. Let h = -5.5 - y. Let i = -3 - -2.9. What is the third smallest value in i, h, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -1\/2*t**2 - 2 - 3*t. Let n(p) = -5*p**3 + p. Let h be n(-1). Calculate l(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 123*m**2 + 250*m + 117. What is the lowest common multiple of 117 and a(125)?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g - 2. Let s(a) = -2*a - 2. Let f(p) = 9*p**3 - 8*p + 15*p**2 - 10 + 21*p - 8*p**3 + 0*p**3. Let q be f(-14). Calculate q*s(j) - 3*h(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/2)\/(-1) + 2. Let f be (-2)\/(-4) - 1\/i. Sort f, 4, -2 in descending order.\nAnswer: 4, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*n = n - 270 + 94 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2)\/((-48)\/9) + ((-167)\/72 - -10) and -79\/675.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2467, -2.5, 4 in descending order.\nAnswer: 4, -2.5, -2467","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/(n\/(n\/(n*n\/(n*n**(12\/7)*n*n))*n*n)*n)*n**13*(((n*n**2)\/n)\/n)**(-43) assuming n is positive.\nAnswer: n**(-177\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -800\/7 - -114. Which is smaller: -3 or n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1976?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 31405751277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m + 6. Let b be d(-4). Calculate the highest common factor of b and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 0, 59?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -40.391 (b) 3 (c) -1\/3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 92521169 to the power of 1\/3, to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t**3 + 18*t**2 + 8*t + 5. Let y be s(5). Sort y, 1\/11, 8 in ascending order.\nAnswer: y, 1\/11, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48230 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*1\/((-8)\/20). Let k(s) = -s**2 + 16*s - 6. Let c be k(l). Suppose -4*f = 1 - c. Solve -5*a - 20 = -5*p, -f*p = -5*p + a + 10 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4984 is divided by 104.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9816029 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1869 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*j**3 + 5*j - 5*j - 39*j**3.\nAnswer: -55*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**4\/2 - 152673*j**3\/2 - 3815175*j**2\/2 - 11441475*j\/2 + 85836375 = 0 for j.\nAnswer: -50866, -15, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 k, 1 l, and 1 b when four letters picked without replacement from bgkxigkll?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 191492*x + 393712.\nAnswer: 191492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(-5)\/140*3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7380281.\nAnswer: 109, 67709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 39*b**2 - 66*b - 1. Let s(v) = 18*v**2 - 32*v. Give -9*s(j) + 4*t(j).\nAnswer: -6*j**2 + 24*j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3421 by -9181.\nAnswer: -3421\/9181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 0. Let p = -2 + 5. Let d = -2 - p. Which is the biggest value? (a) d (b) 0 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 90 = 4*f. Calculate the greatest common factor of 9 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 1350*u**2 + 69*u + 51. Let x(q) = -2024*q**2 - 103*q - 74. Let i(k) = -7*f(k) - 5*x(k). What is the second derivative of i(t) wrt t?\nAnswer: 1340","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w + 37. Let c be g(11). Suppose 0 = -n - 5*y + 3 + 11, 2*y = -c*n + 20. Suppose -2*a + 5*a = -4*k - 7, -18 = k + 4*a. Solve -k*t + 0 = n for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -53 in 0.5, 32.9, 7, -2.4, -2\/9?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -457, -1944, -4453, -8002, -12609?\nAnswer: -18292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 1 - 4*v**2 - 3*v + 3 - 3. Let n be t(-3). What is the remainder when 5 is divided by -3*n\/3 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -65? (a) 2\/15 (b) -2 (c) -350450 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -259 - -268. Suppose 5*l - 5*x = 0, 3*x - 12 = -4*l + j. Sort l, 4, -10 in decreasing order.\nAnswer: 4, l, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 11:03 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -476555*r**2 + 398472*r.\nAnswer: -953110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7179?\nAnswer: 3, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - -4)*-2*1902\/(-33972). Let c = -1544 + 230057\/149. Let d = j - c. Sort -3\/4, 1, d in descending order.\nAnswer: 1, d, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2 + 0 + (43 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 4*n - 5*g, 7 = 5*n - 2*g + 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*p + 10, 2*f - 4*p - 4 = 6*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 10.2. What is the smallest value in o, 6, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3420 and 726237?\nAnswer: 14524740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*c - 31*c = -30. Suppose 6*s + 2*y = 3*s + 7351, 2*y - c = 0. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00265 to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 2:15 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -169 (base 13) in base 12?\nAnswer: -194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 126? (a) 5\/2 (b) 0.5 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/62946 and -71\/26793?\nAnswer: 14414634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 55 - 4\/3*q**3 - 82*q + 0*q**2. What is the derivative of i(j) wrt j?\nAnswer: -8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*a = -66, -4*a + 63 = 5*b - 69. What is the remainder when b is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 e when two letters picked without replacement from {f: 6, d: 2, t: 8, e: 1, i: 1}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3747971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 9*m**2 + 5*m - 8. What is u(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40.4*185.\nAnswer: 7474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v + 12. Let z(s) = s**3 + 6*s**2 - 3*s - 8. Let m be z(-6). Let r be y(m). Let t(g) = -g**2 - 9*g + 9. What is the tens digit of t(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/26*38\/(-133).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q - 1. Let i(c) = 7*c**2 - 10. Let j(m) = 6*m**2 + m - 9. Let d(s) = 5*i(s) - 6*j(s). Suppose 0 + 5 = a. Determine a*k(n) + d(n).\nAnswer: -n**2 - n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -150 (c) -3 (d) -3348 (e) -0.3 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -39*p**3 + 19*p**2 + 66. Let f(a) = 31*a**3 - 18*a**2 - a - 67. Let g(r) = -5*f(r) - 4*z(r). Calculate g(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 299460 and 2268?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-4 - -4 - 2). Suppose -288 = -z*o - 3*o. Calculate the greatest common factor of 6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1919009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -152580055*w**3 + 29211724*w**2 + w + 2 wrt w?\nAnswer: -915480330","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -2, -58, -27, 0 in increasing order.\nAnswer: -58, -27, -4, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 21006.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -21290*c + 64220. Calculate z(3).\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 122012?\nAnswer: 122012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a microsecond in nanoseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43.76 - 13.76. Let g = 158 + -187.9. Let p = j + g. Which is the smallest value? (a) -3 (b) -1 (c) p (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10690697 divided by -2?\nAnswer: -10690697\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 16 + 3 + -5 + -9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128642*c + 385925*c - 128642*c - 128641*c - 3*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 2:25 PM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -7*h + 10. Find the second derivative of 124*b**5 + h*b - 128*b**5 - b**4 + b**4 wrt b.\nAnswer: -80*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25959 - 25958.99984389. Round y to 5 dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**2*l + 588*h**2 - 73*h*l**4 with respect to l.\nAnswer: h**2 - 292*h*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a meter in millimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -104.790015 to two decimal places.\nAnswer: -104.79","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is 3399015 minus 2312057?\nAnswer: 1086958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22203275\/228 + -97383. Let p = -2\/57 + g. Sort 2\/13, p, -3.\nAnswer: -3, p, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -511*y - 15138. Let s(w) = -10*w. Calculate x(s(q)).\nAnswer: 5110*q - 15138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**3 + 3*j**2 - 3*j. Let u be (36\/81)\/((-10)\/(-225)). Let f(q) = -4*q**3 - 5*q**2 + 5*q. Calculate u*n(b) + 6*f(b).\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 722.4969 years?\nAnswer: 72.24969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 24 - 66 = 0. Let l = z - 28. Let x(q) = q**2 - 2*q - 1. Let h(v) = -v**3 + 5*v**2 - 9*v - 5. Determine l*h(w) - 9*x(w).\nAnswer: -2*w**3 + w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (949\/52 - 22)\/((-189)\/36).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2 = -2*b - 0*b, -5*x = -10. Let u(a) be the first derivative of a**3\/3 - a**2\/2 + 5*a - 212. Let r be u(b). Solve -r*z - 16 = -o - z, 5 = -z for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28589718?\nAnswer: 2, 3, 19, 250787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00018362 to five dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 8, -772, 11 in descending order.\nAnswer: 11, 8, -5, -772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 c when two letters picked without replacement from iiocoioiicoiooi.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)*-5*-4)\/(-1*sqrt(256)).\nAnswer: -25*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/18675 - 12448\/18675. Is b greater than 740?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 613 + -604. Let o(y) = 1 + 4 + 10*y - 1 - h*y. What is o(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*s**3 + 2 - 11*s**3 - 12*s**3 as j*s**2 + o*s**3 + p + z*s and give o.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4163 is divided by 1222?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*i - 2*i + 3*i)*(-2*i - i + 2*i) - 68*i**2 - 70*i**2 + 111*i**2)*(-2*i + 4*i - i) + 42*i**3 - 59*i + 59*i.\nAnswer: 16*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, 31, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 518181617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 9*z**2 + 9*z + 12. Let o be b(-8). Suppose -3*k = r + r - 505, -5*k + o*r = -827. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2160\/(-32)*((-48)\/10)\/6. Solve 0 = -21*p - i + 12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25579 or 30532?\nAnswer: 25579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -5. Let w be -1 + 0 + y + 440\/456. Sort 2\/17, w, -5.\nAnswer: -5, w, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 145, 3, 1267, 5, -3 in descending order.\nAnswer: 1267, 145, 5, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l - 4. Suppose -b - 2*m - 2 = -5, 5*b + 4*m + 3 = 0. Let y be c(b). Let p be y\/3*(-10 - -1). Is p <= -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/2 (b) 362 (c) 2\/837 (d) 3 (e) 2\/15 (f) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -137229 and 2756?\nAnswer: -378203124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(3\/15 - 0). Let t(s) = 3*s**2 - 15*s - 19. Let m(f) = 2*f**2 - 10*f - 13. Let w(p) = b*t(p) - 8*m(p). Determine w(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 6*h = -6. Let w = 11 + h. Let r(c) = -4*c + c + w*c + 0*c. Let a(s) = 3*s. Calculate a(r(g)).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + 12. Suppose 21*c = b*c + 2. Solve 0*h + 21 = -c*o - 5*h, -4*h - 21 = 3*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.01 (b) 1\/9 (c) -83.8 (d) 0.9 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 584 and 179288.\nAnswer: 179288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from ilsiukh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 226129*d**2 - 57*d + 57. Is n(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cjfffajfoooojaoooff. What is prob of sequence ofjj?\nAnswer: 7\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5501313479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 8*m - 10. Let b be i(9). Let r be 4 - -1 - (b + 1). Suppose r*n + 730345 = 45345. Round n to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 108 + -110. Let u be i + (3 - (-1 - -2)). Which is the nearest to u? (a) -0.5 (b) -0.1 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**2 - i - 5. Let l(w) = -2*w**3 - 1452*w**2 - 256320*w + 257792. Let f(g) = -l(g) - 6*s(g). Factor f(r).\nAnswer: 2*(r - 1)*(r + 359)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 282432411?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 112951356.5 rounded to the nearest 10000?\nAnswer: 112950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 0.19.\nAnswer: 0.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -39847 and 0.2?\nAnswer: -7969.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w and 1 p when four letters picked without replacement from {p: 1, j: 7, w: 11}?\nAnswer: 55\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 7:29 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d + 3 - 3. Let b be (1 - 1)\/(-2 + 4). Let p(h) = b*h + 3*h + 3*h - 5*h. Give p(q(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24296286 and 630?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x = 82 - 42 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5389 is divided by 2491.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 75 + -65. What is the highest common divisor of 110 and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s - 9*s + 6*s**3 + 4*s + 18*s.\nAnswer: 6*s**3 + 15*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + (-5 - (-571)\/63))*(-69 + (-1386)\/(-20)).\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 + 13265117*p + 26530238.\nAnswer: -(p - 13265119)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 10, h: 4}. What is prob of picking 4 h?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3330 - 2352 + 20445 + 10871 + 8754 - 1871)*(5*d + 2*d - 5*d) in the form r*d + x and give r.\nAnswer: 65034","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*v = 0, 32 = 3*n + 4*v - 0*v. Suppose 2*t + n*b = -0*t + 52, 5*b + 20 = 0. Let o = -10 + t. Calculate the highest common divisor of o and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -1155*p**2 + 18*p - 151. Let m(k) = 385*k**2 - 6*k + 52. Let d(b) = -6*c(b) - 17*m(b). Find the second derivative of d(q) wrt q.\nAnswer: 770","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 362 and 47.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9299 - -10204. Calculate the remainder when f is divided by 146.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/9 in -0.5, 3\/2, 9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -73.22198471 to two dps.\nAnswer: -73.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 17, 15, 94, 18, -6.\nAnswer: -6, 2, 15, 17, 18, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8874\/(-2)*82\/(-246). What is the highest common divisor of 58 and q?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -50, -122, -194, -266?\n\"Answer: -72*o + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6404 - 6487 - (-118 + -2)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 46210 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*h**3 - 382*h**3 + 18*h**3.\nAnswer: -376*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.002, -44, -0.4, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*n**2 - 28*n + 30*n**2 - 19*n - 12*n**2.\nAnswer: -2*n**2 - 47*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gvyyyqyyyvgv. What is prob of picking 3 y and 1 g?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 100477\/15 - 6702. Calculate the common denominator of 40\/27 and b.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/3369, -4, 0.4, -2?\nAnswer: 2\/3369","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1461.00008045 - -1461. Round f to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 2*a - 7. Let t(m) = 696*m**2 + 22*m - 77. Determine 44*h(n) - 4*t(n).\nAnswer: -2740*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -47*p**5\/10 + 47*p**4\/6 + 20*p. Find the third derivative of c(a) wrt a.\nAnswer: -564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**2 - 10*k**2 - 26*k**2 + 4 - 6*k**2 as r*k**2 + c + q*k and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of 823*p**9\/504 + 116*p**5\/15 + 4*p**2 + 73*p. What is the third derivative of b(h) wrt h?\nAnswer: 98760*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 316 = 318 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 521077?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(833) + -1)*2)**2.\nAnswer: -56*sqrt(17) + 3336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 15506467, 15506474, 15506487, 15506506, 15506531?\n\"Answer: 3*a**2 - 2*a + 15506466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 2 = -3*v - 6, -5*v + 25 = -3*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express r + 7 + 668*r**3 + 16*r**2 - 9 - 665*r**3 + r**4 in the form v*r + w + p*r**3 + g*r**2 + i*r**4 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 702400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 1:34 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 + i - 1. Let b(y) = -5*y**2 + 8*y + 20. Let g(u) = -b(u) - 3*l(u). List the prime factors of g(10).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53373894 and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001 - 1110101?\nAnswer: -10001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of 13*o**3\/6 + 32*o - 25. Let b(l) = -36*l**2. Calculate b(t(y)).\nAnswer: -6084*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-34)\/799 + (-7392)\/(-3619). Solve -4\/3*x + 2 - 2\/3*x**g = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3588\/276)\/(65\/(-10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 - 19*c - 3. What is the remainder when 25 is divided by z(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 588\/30 + (-4)\/(-10). What is a rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.4 - 4. Let u = 1\/22 + -51\/154. Let n = 0.46 - 0.5. Which is the second smallest value? (a) d (b) u (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*s - 7, 4*s + 3*o + 4 = 13. Let t be (-17)\/3 + (-8)\/24. Let j be (6\/(-63))\/((-2)\/t). Sort j, s, -0.1 in increasing order.\nAnswer: j, -0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 + -22. Let t(d) = -38*d**2 + 2092*d - 106. Let f be t(55). Let l = -6 - -9. Put m, 17, l, f in decreasing order.\nAnswer: 17, m, f, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -h**2\/2 - 3*h + 1. Let f = 141 + -150. Let s be o(f). Solve -3*y - 3*q = -s, -q + 5 = -2*y + 4*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -12123?\nAnswer: -12200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 + 4*k + 2. Let d be s(-2). Solve 0 = 3*c + 3*v + 3 - 18, 5*v + 10 = d*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2.25, -9, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fbv when three letters picked without replacement from {v: 1, y: 1, f: 1, r: 2, b: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1)\/b)\/(b\/(b*b**(2\/55)*b))*b**(-1\/3)\/(((b**(-2\/43)\/b)\/b)\/b) assuming b is positive.\nAnswer: b**(12413\/7095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -546510 + 4\nAnswer: -546506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-96)\/(-128)*16\/(-28)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40 or -33?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 7*l**2 + 5*l - 2. What is b(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (32\/5)\/(2\/10). Suppose 0 = -4*n + x. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - (3 + 0\/3). Suppose y*k + k = 3*n - 3023, -2*k - 2010 = -2*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4901, -19665, -44269, -78713?\nAnswer: -122997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c = 13*c - 9*c - 107916. Is c a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21033*m - 31461 with respect to m.\nAnswer: 21033","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z. Let p(c) = 7*c**2. Give g(p(h)).\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*n**4 - 17*n**4 - 35*n**4 - n**4 + 3*n**4 - n**4 + (n - n - n)*(2*n**3 + 0*n**3 + 0*n**3) + (0*n**3 - 2*n**3 + n**3)*(4*n + 2*n - 3*n).\nAnswer: -45*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-316710)\/765*5\/(-30)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1025151*n - 92007?\nAnswer: -1025151","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 - 12.44. Let c = 1.44 + -1. Let k = x + c. Is 0 at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10608 by -6.\nAnswer: -1768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 19*l + 10. Let o be t(7). Suppose 4*n - o = 161. Suppose 0 = 4*b + 4*d - n, -b + 3*d = -2*b + 11. Calculate the remainder when 43 is divided by b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m + 2. Let f(h) = 3*h - 2. Let r be f(3). Let j(c) = -4*c + 5. Let t(u) = r*g(u) - 2*j(u). Is t(3) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2283077268?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2114, -4229, -6344?\nAnswer: -8459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 2:56 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 9 = 4*i + 29, 0 = 5*r - 20 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 45115 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of 263*t**4\/12 - 2329*t**3\/6 - 2*t**2 - 503. Differentiate s(b) with respect to b.\nAnswer: 526","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1041 is divided by 116?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(3\/11)*(s\/s**1)\/s)\/(s**(4\/7)*s\/(s**(1\/5)\/s)))\/(s**(2\/7)\/s*s*s**6)**(-8\/3) assuming s is positive.\nAnswer: s**(15781\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/4))**(-2\/15)*(c**(-2\/9))**(1\/18) assuming c is positive.\nAnswer: c**(17\/810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26*v + 33*v - v + (-2 + 4 - 4)*(-2 + 2 + 2*v) + (10*v - 47 + 47)*(-2 - 2 + 8).\nAnswer: 94*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 103*m + 1443. Determine i(-11).\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 152372922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 6 + 0)*(9 - 1 - 1)*(0 - 71 - 15)*(0*s + 0*s - 2*s) as d + g*s and give g.\nAnswer: 2408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1374 + 1986. Is 13 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 200357?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-21)\/(-4) - 1\/4. Let q = 120 - 15. Suppose 11*o - q = 4*o. Solve -o = 5*m + v for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39985 and 50.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 192, 191, 188, 183, 176, 167, 156?\n\"Answer: -y**2 + 2*y + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235*h = -3*t + 236*h + 75, 5*t - 91 = -4*h. What is the remainder when 287 is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1080, 1079, 1092, 1125, 1184, 1275, 1404, 1577?\nAnswer: 1800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2. Let z(x) = -164*x + 38. Determine z(b(i)).\nAnswer: 164*i**2 + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of 63*t**4\/4 + t**3\/3 - t**2\/2 - 15*t + 398. Find the second derivative of s(y) wrt y.\nAnswer: 378*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4\/4096761 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -415 - 667*d**2 + 132*d**2 - 40 + 144*d**2 wrt d?\nAnswer: -782*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 108 + -108. What is the nearest to 1 in w, 0.1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 71384 - 6?\nAnswer: 71377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7896 + 7898. Suppose 5*s - 997 = 2*u, s - 7*u = -2*u + 204. Which is the second smallest value? (a) s (b) n (c) -5 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 3*l**3\/2 - 6*l**2 - 22*l + 105. Determine k(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -1521*z**2 - 9 + 767*z**2 + 772*z**2 - 8*z. What is the remainder when 3\/3 + 31*2 is divided by d(-1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -280 - -471. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 13*d - 6. Let g be h(12). Suppose 7*r - g*r = 22. What is the least common multiple of 10 and r?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 160 and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 56850672?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 279334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ohooppopoooooppohooo. Give prob of picking 2 p, 1 o, and 1 h.\nAnswer: 52\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6, 65, -0.04, 1\/4, 1\/6 in descending order.\nAnswer: 65, 6, 5, 1\/4, 1\/6, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y - 2. Let w(t) = t - 18. Let m be w(16). Let x(s) = 4*s + 3. What is m*x(g) - 3*o(g)?\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3624?\nAnswer: 2, 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 7\/25, 0, 0.4 in decreasing order.\nAnswer: 0.5, 0.4, 7\/25, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 35848601 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 10*v - 13. Let j be w(-9). Let c = -81 - j. Put 0, c, 2 in descending order.\nAnswer: c, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 - 35. Does 11 divide (-594)\/k*8\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -5, 10, -2 in ascending order.\nAnswer: -38, -5, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 less than -0.0325?\nAnswer: -0.0725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*((-245)\/(-42))\/(-35).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -1\/37244295?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8276171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -0.15 (b) 0 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y - 3. Let q be g(-3). Let b(w) = -7. Let d(p) = -p**2 - p + 36. Let c(j) = 11*b(j) + 2*d(j). Let u(v) = -v**2 - v - 2. What is q*u(o) + 4*c(o)?\nAnswer: o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/17, 49, -0.1, -0.01, 0.13, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s. Let n(i) = 471*i + 20. Calculate n(x(w)).\nAnswer: 942*w + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.26 - -60.74. Let t = 61 - u. Which is the nearest to -1\/3? (a) t (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of -b**4\/12 + 4*b**3\/9 - 5*b**2\/6 + 2*b\/3 + 29. Factor k(u).\nAnswer: -(u - 2)*(u - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27 and 36.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -9*f + 2. Let h(g) = -g. Let z be (2\/8)\/((-2)\/(-56)). Let q be (-8)\/14*z\/2. Let l be h(q). Calculate w(l).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 184*w**4 + 520.\nAnswer: 736*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 26, -227, 5, -1 in decreasing order.\nAnswer: 26, 5, -1, -7, -227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by 8264?\nAnswer: 7\/4132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -23*m**3 + 212*m**2 - 560*m - 17629. Let k(o) = 4*o**3 - 42*o**2 + 112*o + 3526. Let j(b) = 2*i(b) + 11*k(b). Factor j(p).\nAnswer: -2*(p - 9)*(p + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -654 + 0\/(54\/(-9)). Let b = 657 + g. Let q(u) = 2*u**2 + 3*u - 1. Give q(b).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x + 3. Let f be m(-5). Suppose -3*l + 1 = -b, -l = 4*b + 4*l - f. Solve -u + 2 + b = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 153?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 + 12 - ((-6 - 0) + 6)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/5, -2, -2\/11, -14, -4\/15?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 15*g + 20972. Let r = 45 - g. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 9. Suppose -q*j = j - 222. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3384.2 rounded to the nearest 10?\nAnswer: -3380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7723 divided by 5.\nAnswer: -7723\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 15*a**2 + 210*a. What is b(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven sixteenths of a centimeter?\nAnswer: 4375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -9*p**3. Suppose -1 = 3*l - 13*i + 12*i, 3*l + 2*i + 16 = 0. Let a(y) = -y**3. Calculate l*j(d) + 22*a(d).\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -219 - -1101\/5. Which is smaller: i or 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -7 + 1 + (-128)\/(19 - 11)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q - 17. Let l be z(5). Let j = 9 + l. Solve -2*o - j = -10 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3587\/5 - 718. Suppose -5 + 0 = t. What is the fourth biggest value in i, 1\/2, 0, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11)\/(33\/9)*(-15)\/(-27)*26\/(-910).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 91882280 divided by 238\nAnswer: 386060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.4 (b) 2\/11 (c) 3 (d) 1\/16 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/4 - 455*y**2\/4 + 148721*y\/4 + 149175\/4.\nAnswer: -(y - 221)*(y + 1)*(y + 675)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240 + 240 + 6*s**2.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 1 = 3. Let t = b - -1. Suppose -2*l + a + 22 = t, 0 = l - 0*a + a - 8. Solve -2*k + 0*k - l = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-2) + 14946\/188. Calculate the greatest common divisor of 496 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 818819 = 84*i - 3455269. What are the prime factors of i?\nAnswer: 2, 13, 19, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y + y = -2176. Let d = 134 + y. Solve -d*m - 3 + 9 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 50 = 5*a, 3*j + 10 = 3*a - 8*a. Let x(d) = d + 1. Determine x(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 - 12*s**2 + 17 to y*s + m*s**2 + x and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - -111100111?\nAnswer: 111100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2908 and 12?\nAnswer: 8724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46742 by -2.\nAnswer: 23371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 0, 6*i - q = i + q + 18 - 38 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 163.924 take away 14015183.73?\nAnswer: -14015019.806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 = 1034*v - 1038*v. Differentiate v + 27 + 19*c + 7*c**2 + 69 - 42 wrt c.\nAnswer: 14*c + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - -5. Let x(m) = -m + 9. Let h be x(c). Let s(r) be the first derivative of 3*r**4\/2 + r**3\/3 - r + 2. Give s(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - ((0 - 1) + 0). Let v = d + 2. Suppose 3*t = 2*q + 2, 2*t - 7*t = -4*q - v. Is 2 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 3*q**2 - 2*q - 2. Let c be w(-3). Let i(b) = -16*b + 32. Let x be i(c). Round x to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*4516.\nAnswer: 13548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/15*8\/((-120)\/(-25)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 8\/16699?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 22742 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1\/3, 0, 3, -0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 12:33 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -400*k - 41997. Let j = -5 + 13. Suppose -23 + j = -y. What is the smallest common multiple of g(-105) and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, c: 5}. Give prob of sequence dccd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -10*q. Let i(h) = -2*h**2 + 24*h. Determine r(i(p)).\nAnswer: 20*p**2 - 240*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 475*g**2 + 19260*g - 1015.\nAnswer: 5*(5*g + 203)*(19*g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 40 = 4*n, 4*t + 318 = -3*n + 355 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cyy when three letters picked without replacement from yyyycycc?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -530 - -80038\/151. Which is bigger: -1 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 5*t + 31 = 0, 380*m - 381*m = 4*t - 22 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -17*o + 25. Let x(t) = -17*t + 22. Let k(u) = 5*l(u) - 4*x(u). Let m(h) = -6*h + 12. What is -4*k(f) + 11*m(f)?\nAnswer: 2*f - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99375 and 151875.\nAnswer: 1875","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.863 - -0.123. Let j = 1.26 - t. Which is the nearest to 8\/9? (a) -1 (b) -2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 96817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 175244 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -2*u**2 - 3*u. Let w(p) = 10*p**2 + 14*p. Let r = 4 - 1. Let q = 0 - r. Determine q*w(i) - 14*k(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 l when four letters picked without replacement from {l: 9, b: 3}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m - 6. Let n be g(9). List the prime factors of (46\/(-6) + n)*-12.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 29\/5 of a minute?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fo when two letters picked without replacement from qyqobfhbo.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 2*w - 8 = 0, w + 10 = 4*b + 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-20)*(-2 + -18). Solve -3 = h*p + 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -40384576.\nAnswer: -201922880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -6*y + y - 2, 2*y - 12 = 2*r. Let t be 3 + (-2 - r - 2). Suppose t*p + 15 = 4*p. What is the highest common divisor of 6 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*w + 13*w + 12*w + 17*w in the form r + g*w and give g.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 168 = 6*n. What is the lowest common multiple of n and 6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9067\/2166 - 7\/361. What is the common denominator of 9\/5284 and o?\nAnswer: 15852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + sqrt(847))**2.\nAnswer: -44*sqrt(7) + 851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 133470 divided by 2?\nAnswer: 66735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 17*j - 2 + 2*j - j + 5. What is the remainder when u(1) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12592 (base 10) in base 5?\nAnswer: 400332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - 94. Let z = t + 100. What are the prime factors of z?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 15382, 60984, 136998, 243430, 380286?\n\"Answer: g**3 + 15200*g**2 - 5*g + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 3 + u**2 - 3*u**4 - 3*u**5 - 4*u**2 + 9*u**2 + 6*u**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -546 + -41221797\nAnswer: -41222343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -3087.38699 to the nearest integer.\nAnswer: -3087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 l when two letters picked without replacement from lxpklskllxkkpsxsskkt.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13*l**3 + 816\/13*l**2 + 1620\/13 + 2434\/13*l.\nAnswer: 2*(l + 1)*(l + 2)*(l + 405)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1254582721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 12121 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*y + 265 = 28*y + 32*y + 121 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of -b - 1. Let u(q) be the third derivative of -1\/24*q**4 + 0 - 6*q**2 + 0*q + 7\/6*q**3. Calculate 5*o(p) + u(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8371 by -4.\nAnswer: 8371\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 6:50 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 20*g - 89. Calculate h(6).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 325340 to the nearest one thousand.\nAnswer: 325000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m - 4, 18*t - 5*t - 12*m + 9*m = 32 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -347 divided by -2747.\nAnswer: 347\/2747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*l**4 + l**4 + 4*l**4 - 15*l**3 + 20*l.\nAnswer: 5*l*(l - 2)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26645?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c + 25. Calculate the remainder when 199 is divided by s(15).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 12\/25 of a kilometer?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -25, -118, 4, 2 in decreasing order.\nAnswer: 4, 2, 0, -25, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*c - 2*c + 120 - 116, -4 = 3*h + c - 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 2\/81 (b) -4 (c) 0.2 (d) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 2*g**2 + 5*g - 1. Let a(l) = l**3 - 2*l**2 - 6*l + 2. Give -5*a(u) - 6*t(u).\nAnswer: u**3 - 2*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by (152\/(-40))\/(1\/(-5))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 501, 991, 1467, 1923, 2353?\n\"Answer: -g**3 - g**2 + 500*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -76*h**5 - 168337*h**4 + 2889173*h**3 - 2827896*h**2 + 107136*h = 0.\nAnswer: -2232, 0, 3\/76, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**2*w)\/(w**(2\/13)\/w))\/((w**(-7)\/w)\/w*w**(-6)))\/((w\/(w\/w**(-6)))\/w**7*w\/(w*w**(-3\/2)*w)*w**(-6)*w) assuming w is positive.\nAnswer: w**(945\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*g - 31 = 0, -4*g = f - 2*f - 8. Let h(z) = 31*z + 784. Let q be h(-22). Let m = q + f. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy ninths of a week in minutes?\nAnswer: 78400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 11718682?\nAnswer: 11718680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mk when two letters picked without replacement from jqrxxmk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 7*i. Let a(u) = -15*u. What is 2*a(g) + 5*p(g)?\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -55*c**2 + 3*c - 10. Let o(j) = -111*j**2 + 7*j - 21. Let x(w) = -9*k(w) + 4*o(w). What is the remainder when x(-3) is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 100 + -71. Let m = -26 + n. Suppose 9*g = 3*g + 204. Solve 3*d + 2 = -2*x + 7*d, -m*d = 5*x - g for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209 + 74 = 5*l. Let o = -12 - l. Calculate the remainder when (-390)\/(-9) - (-14)\/21 is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 51, 54, 51, 36, 3, -54, -141, -264?\n\"Answer: -z**3 + 3*z**2 + z + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30726 or 28.52?\nAnswer: -30726","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/5*220\/(-66) - (0 + 17)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 9*p - 21. Let q(c) = -c + 2. Let j be -1*(1 - 4 - -2). Suppose -x - 3*z - j = 0, -11 = -5*x + z - 0. Let l = 45 + -24. Determine l*q(s) + x*g(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*q - 25 = 32*q + 5*f, 5*q - 4*f = 17 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180646?\nAnswer: 2, 41, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -152328 and 10.6.\nAnswer: -152317.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -149387, -149395, -149395, -149387, -149371?\nAnswer: -149347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**28)**(1\/5) assuming n is positive.\nAnswer: n**(-27\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - h + 3 = 0, -s + 4*h + 10 = -2*s. Let g be s\/8 - (-302)\/8. Let l = g + -20. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -118.16 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/6)\/(4\/18). Let l(c) = 4*c**2 - c**3 + 3*c**3 - q*c - c**3 - 3. Is l(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l + 1. Suppose -2*n = 7*n - 18. Let q(p) = p**3 - 4*p**2 + 3*p - 1. Let t be q(n). Let g(h) = -h. Give t*g(m) - k(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-30)\/(-4))\/((-903)\/602). Let t = -0.5 + 4.5. What is the closest to 2 in t, w, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p + 5. Let k be c(3). Suppose 13*y = k*y + 102. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m + 1. Let u(k) = 4*k + 1. Let n(a) = 7*q(a) - 5*u(a). Let c(x) = 86*x - 67. Let g(r) = -c(r) + 3*n(r). Differentiate g(v) wrt v.\nAnswer: -83","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**3 + 62*d**2 - 56*d - 29. List the prime factors of s(17).\nAnswer: 2, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 496 is divided by 473?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 + 1 - 0) + -8. Let n = -452 - -461. What is the remainder when (-3)\/(a\/6) + 23 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3c94539 + 15?\nAnswer: 3c94551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10072 + -10008. Let z = 114 + -81. Calculate the remainder when h is divided by z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 25 = -5*l, -2*l + 5*i = -1 - 2. Solve l*j = 5*j - 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4757.481? (a) 2\/3 (b) 0.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 100340 and 16?\nAnswer: 401360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/3)\/h)**(-2\/9)*h\/h**(-2\/19)*h\/(h*h**4*h)*h*h*h)\/((h**3\/h**6)\/(h**(2\/3)*h)**38) assuming h is positive.\nAnswer: h**(33722\/513)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 4*n - 0*n, n = -4*l + 9. Let y(c) = c + 8. Let q be y(-4). Suppose l*x + 0 - q = 0. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a**3 + a**3 - 2*a**4)*((3 + 1 - 2)*(5 - 1 - 2) - 1 + 1 + 1)*(6 - 4 - 3)*(-4 + 4 - 2*a).\nAnswer: -20*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 15433 by 1274.\nAnswer: 15433\/1274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293 is divided by 97?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a hour in minutes?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sfffnfasf. Give prob of picking 4 f.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3147*f + 9730*f - 1119*f - 1382*f.\nAnswer: 10376*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 609*r**3 + 2*r**2 - 930*r - 519*r**3 - 2*r**2.\nAnswer: 90*r**3 - 930*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 1 = -0. Let l(g) = -g**2 + g + 1. Let f(d) = -20*d**2 + 3*d + 28. Let s(x) = u*f(x) - 3*l(x). Differentiate s(z) with respect to z.\nAnswer: -34*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(sqrt(9)*-3) - sqrt(1500)\/sqrt(12)) + sqrt(25)\/(sqrt(5) - (sqrt(5) - 4*sqrt(405)) - sqrt(5)) + 2.\nAnswer: -557*sqrt(5)\/105 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-1) + -4)*-5. Let m(j) = -j**3 + 11*j**2 + 2*j - 13. Is m(n) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 98428*w - 6 - 98428*w + 26*w**2 + (-1 - 3 + 2)*(-3*w**2 - 2*w**2 + 3*w**2) in the form k + x*w + f*w**2 and give f.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**2 + g**2 - 3*g**2 + (-3*g - g + 3*g)*(-g + 0 + 0) - 2*g**2 + 0*g**2 + g**2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 26, 64, 118?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000111815 rounded to six decimal places?\nAnswer: 0.000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 18*t**2 + 17*t + 2. Let c be k(-11). Let j = c - 225. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -1093*j + 52. Let d be y(-13). Suppose -12*z = z - d. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + s + 2*s)*(s + 4*s - 7*s)*(-2*s**2 + 2 - 2) + 53*s - 53*s + 7*s**4 - 2*s**4 + 16*s - 16*s + (-2 - s**2 + 2)*(2*s**2 - 3*s**2 + 0*s**2).\nAnswer: 18*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -153*t**2 - 17*t + 17. Let g(d) = 19*d**2 + 2*d - 2. Let r be ((-6)\/4)\/((-165)\/220). Determine r*w(s) + 17*g(s).\nAnswer: 17*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -4*a + 2 + 2, -5*a - 22 = 4*t. Let u be t\/(-6)*-2*(-64)\/(-2). What is the common denominator of 16\/21 and 6\/u*2096\/(-36)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*u - 9*u = 143871. Let r = u - -30482. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-24)\/32)\/(2\/(-8)). Sort 69, a, 1.\nAnswer: 1, a, 69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + 17 + (18 - 56) - -5) + -3.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 786322497?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.02 - -0.02. Let h = -0.02 + 0.12. What is the nearest to d in 1, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13831605 is divided by 386?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 205*o. Let i(d) = -17*d. Give i(m(a)).\nAnswer: -17*a**2 - 3485*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/56767 + 1589606\/3689855. Let f = d - 3\/13. Which is the closest to 2? (a) f (b) -0.5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/30*-10)\/((12\/(-28))\/3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-2 - -5) - -5. Suppose -5*q + 3*b + b = -27, 21 = w*q - 5*b. What is the smallest value in 0.4, q, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 113*k + 669. Is 2 a factor of d(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/18 + (-3 - -12)\/(-3)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-150)\/(-216))\/25*8.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46312344.16 rounded to the nearest 100000?\nAnswer: 46300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - (-1 - -2)) + 148 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 4\/(-26) + 600\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1691.13291 to zero dps.\nAnswer: -1691","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 380 and 392464.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w**3\/11 - 8328*w**2\/11 + 199096*w\/11 + 431424\/11 = 0. What is w?\nAnswer: -856, -2, 126\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75, -40, -19, -132, -499?\nAnswer: -1240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -435*g + 5790 = -10591 - 6781 + 6197 for g.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11887822 and 1437?\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -183, -357, -529, -699, -867, -1033?\nAnswer: -1197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21875155 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(891))**2*3 - (3 + (-1 + sqrt(11))**2 + 3).\nAnswer: 2*sqrt(11) + 2655","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 8*o. Let k(u) = 41*u - 21*u - 21*u. Let x(s) = 2*s - 2. Let f be x(4). Calculate f*r(l) + 51*k(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3e7 (base 16) to base 2\nAnswer: 1111100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3*u = -3. Suppose u*j = 4*j - 3*v - 19, 4*j - 3*v = 58. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30506, -61013, -91520, -122027, -152534?\nAnswer: -183041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -1\/6, 2\/83, 0.05?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -k**3\/6 + k**2\/2 + 2*k. Let x(y) = -28 - 29 + 4*y + 54. Let l(j) = 3*p(j) + x(j). Let u(t) = -3*t**2. Calculate u(l(s)).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11999184 a multiple of 223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 10 + -1 + -5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*u + 0*u = 151*u - 889 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*y - 0*y - 36 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 78494881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*o - 11*o = 40 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15\/3 - 5\/(15\/(-333))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 128, 665, 2104, 4889, 9464, 16273?\nAnswer: 25760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 2*k - k)*(k**2 - 3*k + 3*k) - 940*k**3 - 24999*k + 24999*k.\nAnswer: -941*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -5*d + 61. Let i be y(17). Let r be 9*5\/60*(i - 0). Sort -4, r, -5 in ascending order.\nAnswer: r, -5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5086.76 + 4838. What is a rounded to zero dps?\nAnswer: -249","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-27)*-20*19\/(-1330)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.7 - -1.2. Let n be 1\/(-21) - 1\/(-3). Sort d, -2\/5, n in descending order.\nAnswer: n, -2\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 107446437, 107446438, 107446439, 107446440?\nAnswer: 107446441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -110268.990021 - -110263.59. Let r = -5.4 - w. What is r rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 611 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/2)\/s*s*s)**(-3))**24*(s*s*s\/(s*s**1)*s*s)**(-2\/43)\/(s\/s**(-1))**(-44) assuming s is positive.\nAnswer: s**(2230\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.34 - -66.34. Let m = 63 - g. Which is the nearest to m? (a) 3\/2 (b) -1\/9 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4463 = -4*t - r, -6218 + 1757 = -4*t - 3*r. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sx when two letters picked without replacement from xkkbkbsk?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 21*g + 23*g = 4552, -4546 = -3*x + g. Does 94 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.01209 smaller than -44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*m + 66 = 0, 13*m - 11*m = -2*r + 32. Calculate the greatest common factor of r and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(5\/((-25)\/(-90)))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 10:26 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 416*j - 4341691 - 16375109 = 0. Does 200 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jmpwwph. What is prob of sequence jm?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 21.81 and -0.5?\nAnswer: 22.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -876832\/433665 + -3\/9637. Let s = v - -20\/9. Factor s*t + 1\/5*t**2 - 1\/5 - 1\/5*t**3.\nAnswer: -(t - 1)**2*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mgmg when four letters picked without replacement from {g: 3, v: 2, m: 4, c: 1, b: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 21140981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (3 + -2 + 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 + g**2 - 15 - 14. Let r(l) be the second derivative of -l**4\/3 + 100690*l. Give b(r(o)).\nAnswer: 32*o**4 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 20703, 41541, 62497, 83571, 104763, 126073?\n\"Answer: 59*o**2 + 20661*o - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10449007817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 11144757, 22289512, 33434267, 44579022, 55723777?\n\"Answer: 11144755*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -30, 2, 1, 4 in descending order.\nAnswer: 10, 4, 2, 1, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -31?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -147.22 * -1.5.\nAnswer: 220.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -n**7\/14 + 87*n**5\/10 - 217*n**4\/3 + 501*n. What is the third derivative of p(j) wrt j?\nAnswer: -180*j**2 + 1044","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341513 is divided by 30861?\nAnswer: 2042","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) -4 (c) 1\/4 (d) -21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -181608\nAnswer: 544824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -42, -86, -116, -126, -110, -62, 24?\n\"Answer: r**3 + r**2 - 54*r + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 6275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 7313*n + 1 + 7321*n + 0 - 14630*n.\nAnswer: 4*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*t - 75*t - 52 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3)*(-4*j + 3*j + 0*j)*(-4 + 3 + 4 + (14 - 8 - 39)*(-1 - 5 + 0)*(-4 + 6 - 1)).\nAnswer: -201*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -389 or 390?\nAnswer: 390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -76633*a**3*z**4 - a**3*z**2 + 95204*a**3*z - 2*a*z wrt z?\nAnswer: -919596*a**3*z**2 - 2*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, i: 5, q: 4, l: 1}. Give prob of sequence ln.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -3074, 8\/7, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, 0.4, -6, 2\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 16. Let m = z - 0. Put m, -1, -4 in descending order.\nAnswer: -1, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -726.944 + 722. Let k = n - -0.044. Let w = k + 5. Is w smaller than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2926, -2937, -2948, -2959, -2970, -2981?\n\"Answer: -11*p - 2915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5419*0.5.\nAnswer: -0.27095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 0*a = a - 11, r - 19 = -5*a. Suppose -4*l = -r*i + 8, -2*l = -5*l - 4*i + 15. Calculate the remainder when 2 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(99)\/(sqrt(441)*-1).\nAnswer: -sqrt(11)\/7 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*q**2 + 2*q**3 + 0*q**3 - 46*q**2.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + i = 51. Suppose -s - 5*q = -q + 25, -3*s - i = 4*q. Let a be (-10)\/25 - s\/(-30). Is 0 at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 646373627 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 + 1 - (11 - 10)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11291 + -4721. What is the highest common divisor of k and 180?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-18)\/4)\/(32\/40256). Let m = -3692 - k. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1))**17 assuming m is positive.\nAnswer: m**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -3.736?\nAnswer: 1.4944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 6*j**2 + 4*j + 21. Let b(g) = 3*g**2 + g - 7. Let h be b(2). Let p be m(h). Is 21 a factor of -1 + (-2)\/(6\/(-129)) + p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 139556456 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - ((sqrt(204) - -4*sqrt(204)) + sqrt(204) + sqrt(204) + sqrt(204)) - sqrt(204))*-2)\/(1*sqrt(432)).\nAnswer: 8*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -39*y**2 - 216*y + 58. Give k(-3).\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 9 - 63. Suppose -d = y + y. Let j = y + 30. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*m = 533, 4*g - 724 = -0*g + 4*m. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9306 - 1548?\nAnswer: 7869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 4. Let a = z - -5. Let b(i) = -a + i + 2 - 2*i + 2*i. What is b(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1667*m - 1746*m + 553. Solve -44*j = m*j + 306 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 7 - 18)*(8 + 3*n - 8)*(4 + 2 - 5) to l*n + g and give l.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -202138, -808525, -1819166, -3234061, -5053210?\nAnswer: -7276613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, w: 11}. Give prob of picking 3 w and 1 m.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88598438.\nAnswer: 2, 23, 1926053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, -0.501, -10, -7\/4.\nAnswer: -10, -7\/4, -0.501, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(11)*-2*-4.\nAnswer: 2 + 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k - 2. Let c be s(5). Let h = 8 - c. Suppose 2*p = -4*y - 4, 5*y + h*p = -0 - 10. Does -2\/13 = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 959256342*n**4 - 34*n**2 + 283064*n + 1?\nAnswer: 23022152208*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 89\/172440 and 91\/24.\nAnswer: 172440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/859320 and -197\/3780.\nAnswer: 2577960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*z - 4*z. Suppose 115 = 5*p - p - z*q, 3 = -q. Let h be (10\/p)\/((-1)\/(-5)). Solve -h*d - 1 = -d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/6 (b) 2\/5 (c) 1 (d) 104685\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one fifth of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7197?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1541739 - 648261. Round d to the nearest one hundred thousand.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -f + 3*m, -m - 4 = f + 3. Let s(u) = -u**3 - 4*u**2 - u - 2. Let j be s(-4). List the prime factors of (f\/j)\/((-4)\/18).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n**(-14)\/n))\/n)\/n)**(6\/19) assuming n is positive.\nAnswer: n**(84\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 119241219 to the nearest integer?\nAnswer: 10920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.9111*-5.\nAnswer: -44.5555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 u when two letters picked without replacement from {r: 1, u: 2, p: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -13*d**3 - 2*d**2 + 1. Let y be 3\/(-6)*-4 - -1. Let m = 2 - y. What is the remainder when 22 is divided by z(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 507 = 19*z + 10*z + 10*z. Calculate the remainder when 272 is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 253693773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3520*r**2*v - 545092168*r**2 + 7490*v wrt v.\nAnswer: 3520*r**2 + 7490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -8 in descending order.\nAnswer: 5, 4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101 (base 2) to base 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-110)\/(-9) - 8\/36. Suppose -a = -b + 2*b. Calculate the remainder when 14 is divided by (-3)\/b - (-31)\/4.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 269 = a. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -34*k - 8. Let n be p(6). Let q = n - -314. Suppose 72 + q = 3*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*b = 25, -4*o = 2*b - 10. Suppose 543 = o*a - 4*y + 3*y, 0 = -2*a + 4*y + 228. Calculate the highest common divisor of 36 and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50841 (base 12) in base 13?\nAnswer: 3897a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*v**3 + 16*v**3 - 16*v**3 + (-v + 2 - 2)*(0 + 0 + 2*v**2) - 9 - 31 - 36 - v**3 as h*v + q + o*v**3 + u*v**2 and give q.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(1539)*2 + sqrt(1539))**2.\nAnswer: 260091","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by -33.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 18 = 4*b - b, 4*b = 16. Is s a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2438 is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 490597387?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 2*b**4 + (4*b**2 - 4*b**2 + b**2)*(2*b**2 - 3*b**2 + 0*b**2) - b**4 + 2*b**4 - 3*b**4 - 3*b**4 - b + b - b**4 + 6*b**4 + b**4.\nAnswer: 2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4719 - 42469\/9. Factor 2\/9*b + t*b**2 + 0.\nAnswer: 2*b*(b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 2:13 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1449\/256956*24\/(-9)*-1?\nAnswer: 2\/133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - g**2 - g + 2. Let b be (-5 - -2)\/3 + 3. Let a be m(b). Suppose a*l - 3*l = 8. Solve 0 = 3*u - l - 7 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -48, -79?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 18*v + 1018. Suppose 3*g = 7*g - 20. Suppose 0*b - 5*b + 2*q = -146, 4*b - 110 = g*q. What is the remainder when c(-50) is divided by b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5975.021 millilitres in litres?\nAnswer: 5.975021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 62*c*y**2 - 16*c*y + c + y**2 wrt y?\nAnswer: 124*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 8:26 AM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 142, 7, -0.1, 3\/11, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 4:10 PM?\nAnswer: 4:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + 7*b**2 - 6*b - 2. Let u be ((-2)\/4)\/(1\/(-12)). Let t be p(u). What is the units digit of -18*2\/8*t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -103721\/19053 - -396\/73. Calculate the common denominator of -65\/33 and l.\nAnswer: 2871","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.02, 0.4, 0.1, 141\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1530, -4, 0, -71 in decreasing order.\nAnswer: 1530, 0, -4, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**4 - x**4 + x**4)*(0 + 0 + 2*x) - 5*x**3 + 5*x**3 + x**5 + 0*x**4 + 0*x**4 + 2*x**3 - x**5.\nAnswer: -2*x**5 + 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 + 8*g + 16. Let a(l) = l**2 - 8*l - 15. Let i(w) = 5*a(w) + 4*p(w). Calculate i(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkykkqhrqy. Give prob of sequence kqk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 9*q**4 + 10*q**3 + q**2 = 0.\nAnswer: -1, -1\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 697804 and 2236?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 347110 is divided by 697?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 7 + -7 + -6 + 7 - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 4*l**2 - l + 1. Let c be j(1). Find the second derivative of 0*s - s + 0*s - 3*s**c wrt s.\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.7577 nanograms to kilograms.\nAnswer: 0.0000000000027577","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 31 and -16934.\nAnswer: -524954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -311 in decreasing order.\nAnswer: 3, -3, -311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 14 + 11. Put j, 4, 0 in descending order.\nAnswer: 4, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -712.6 and 0.2.\nAnswer: -712.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (617*k - 617*k + 2502*k)*(1 - 3 - 2) - k - k + k.\nAnswer: -10009*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 11 - 12 + 2*f + 13 to l*f + s and give s.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31\/180 - -1\/20. Factor -l*z**5 + 0 - 4\/3*z**3 + 8\/9*z**2 + 8\/9*z**4 - 2\/9*z.\nAnswer: -2*z*(z - 1)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - r**2. Let y(b) = 2*b**2 + 2. Let h = -8 + 4. Let d be (-1 - -11)*(-2)\/h. Suppose 3*p + d = p + v, 0 = -v + 3. Give p*y(g) - 2*w(g).\nAnswer: 2*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4446)\/(-152) + -28)*(1 + 2\/10). Which is the second biggest value? (a) p (b) -1\/8 (c) 3 (d) -0.04 (e) -1\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*r - 8*r**2 - 20\/3 - 2\/3*r**3.\nAnswer: -2*(r + 1)**2*(r + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 27.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 310 and 21173.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179561 is divided by 54.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40920000 = -6651*d + 6654*d. Round d to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1351 divided by -21795.\nAnswer: 1351\/21795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*9*1580\/(-15). Let t = 174 - b. Is t\/(-14) - 2\/7 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 11, 14, 19, 26, 35, 46, 59?\n\"Answer: s**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39786*p**5*u - p**3*u**2 + 2*p**3 + 135*p**2*u**2 + 8*p*u**2 - 8*p wrt p.\nAnswer: -2387160*p**2*u - 6*u**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 199, 213, 241, 289, 363, 469, 613?\n\"Answer: z**3 + z**2 + 4*z + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5409 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 5*s. Let v be (24\/(-10))\/(2\/(-5)). Let h be b(v). Solve -3*m + 15 = -a, h = -3*a + 4*m - 19 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*q + 60 = 134*q - 2*m, -105 = 3*m for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 194176\/10 + ((-180)\/75)\/4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 114463.7 to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1392972 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/10)\/(2\/(-30)). Let l be (b\/(-14))\/(2\/14). Solve -2*x = -o, -3*o + l = o - 5*x for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10034907?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 2) in base 13?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -13371385898.75\nAnswer: 13371385895.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2161 + 5691?\nAnswer: 7852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8072 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8269 = 5*y + g + 3*g, 3*y - 5*g = 4991. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13.7 times -5\nAnswer: -68.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 145*h + 379601 - 6280086. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 2 - 0 - (-12 + 21)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(343)\/sqrt(28)*-1)\/(5*-2*sqrt(1008)*-5).\nAnswer: sqrt(7)\/300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552147 is divided by 2580.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192 and 73536?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of x**6\/30 + 3*x**5\/10 - 7*x**4\/12 + 44*x + 5. Determine q so that y(q) = 0.\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g. Let s be (4*2\/4)\/1. What is the remainder when i(-4) is divided by 4*((-15)\/12 + s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -215032 greater than or equal to 1644?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11 is divided by (104\/(-24) - -13) + 4\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by -54.\nAnswer: -19\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-10) - 394*4\/(-10). Let q be c*(15\/10)\/3. Suppose -6*m = -q + 25. Solve 0 = 3*h - m, -u = 3*h + h - 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*f = 133*f - 1. What is the least common multiple of 21 and 266\/8 - (-1)\/(-4)*f?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19755*d*r + 906*d + 15 wrt r.\nAnswer: 19755*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/((-236)\/(-6)))\/(36*(-30)\/(-360)).\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -3 + 4 - 0) + -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 42 + 1946. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 11*k**2 - 6*k - 5. Let v be f(-4). Let r be (-270)\/(-7) - 54\/(-126). What is the highest common factor of r and v?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*x + 83*x - 24*x - 29*x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 365094953 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -2 - ((1 - 5) + 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2602*b = 2938*b + 6048 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (35 - 10 + 31)*(0*w + 2*w - 2 + 0*w) as s*w + t and give s.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4881296155 and 62690.\nAnswer: -4881233465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -76? (a) 0.3 (b) 4 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -139*y + 3024. Is i(-50) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x + 5. Let r be z(-7). Let i = r - -49. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 e, and 2 d when four letters picked without replacement from dleedsn?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 322381?\nAnswer: 37, 8713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 340665804 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 14*t - 12. Let n = -9 - 2. Calculate the remainder when k(n) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 3)*(-3*a + 4*a + a)*(-158*a**2 + 75*a**2 + 5*a**2).\nAnswer: -468*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 8*s = -82144. Is 9\/(-15) - s\/(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12393*g - 9357*g + 16827*g to p*g + c and give p.\nAnswer: -4923","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 181657877 a multiple of 713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 15*y**2 - 52*y - 43. What is b(18)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7105366516 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 79 + -43. Suppose 6*y - z = 2*y. Solve 4*n + y = -3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 0 + 3*s - s**3 + 13*s**2 + 5*s - 7 + s - 8*s**2. Calculate l(6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 + 2*c**2 - 3*c**2)*(4*c**3 - 2*c**3 + 0*c**3) + (-7 + 7 - 2*c**3)*(5*c**2 - 4*c**2 - 3*c**2).\nAnswer: 8*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 5*w**2 + 6*w + 3. Let l be r(-6). Suppose l*m = 2 + 4. Solve -m = y - 3*u + 4*u, u = 5*y + 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.278, -0.3, 2\/3.\nAnswer: -0.3, -0.278, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*w + 29*w + j + 46 = 0, -5*w - 30 = 5*j for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 3. Let i = 3 - g. Suppose 0 = 3*f - 4*f - 5, p = 5*f + 29. What is the lowest common multiple of p and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 28 = -z + 5*u, 2*z = -2*u + 68. Let y(i) = -i**3 + 35*i**2 - 64*i + 11. What is the remainder when y(z) is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/5))**3)**(-21) assuming s is positive.\nAnswer: s**(126\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 987797 is divided by 83?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 850.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 equal to 172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 388 a factor of 23163600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2304 and 2304.\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 0.00589?\nAnswer: -0.001767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 2*j**2 - 4*j + 9. Let g be m(-3). Let p be -118*(g\/(-8) + 0). Suppose 0 = 2*u + 2*q - p - 59, 594 = 5*u + 4*q. Which is smaller: 121 or u?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from unxuzwk. What is prob of picking 1 k, 1 z, and 1 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 234513172*t**3 - 234513169*t**3 - 219*t**2 - 507*t**2.\nAnswer: 3*t**3 - 726*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -0.665210973?\nAnswer: -10.334789027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p. Let q(l) = 162*l. Determine 972*m(t) + 3*q(t).\nAnswer: -486*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 20175108 to the power of 1\/3, to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and (-35)\/2*196\/(-245)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.82923 and -311.\nAnswer: 257.89053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.6294, -5, 3\/8 in decreasing order.\nAnswer: 1, 3\/8, -0.6294, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - (0 + 4\/(-2)). Suppose -110 = -0*r - m*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.026 (b) 3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -10. What is the least common multiple of 5 and ((-11)\/m)\/1*3?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4448984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2235998341 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r**2 + 5*r - 5. Let c(n) = -3*n**2 - 6*n + 6. Calculate 5*c(o) + 6*i(o).\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -71 + 215\/3. Let w = 2 - -1. Let v be 1\/(20\/(-68)) + w. Put y, v, -4 in decreasing order.\nAnswer: y, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1623709 is divided by 130.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188713*g + 566815*g + 529009*g.\nAnswer: 907111*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6.52, -12\/155, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/((-22)\/(-3) - 7). Let l be v - -4 - (0 + -1). Let i(s) = -1. Let q(y) = -2*y**2 - y + 6. What is l*i(z) + q(z)?\nAnswer: -2*z**2 - z + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -134 - -136. Solve -4*g = -s*g + 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13, -33, -57, -85, -117, -153, -193?\n\"Answer: -2*n**2 - 14*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4167 by 165724.\nAnswer: 4167\/165724","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/2? (a) -38.7 (b) 4 (c) 16 (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 5:29 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 11:07 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 238*s**5 + 7*s - 1 - 8*s - 237*s**5. Let a(z) = 16*z**5 - 2*z**2 + 3*z. Let b(u) = -a(u) + 3*j(u). Find the second derivative of b(d) wrt d.\nAnswer: -260*d**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 553986 and 338547?\nAnswer: 6093846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 151886 and 45866.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186919115?\nAnswer: 5, 37383823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 3*h. Let y(x) = x**2 - x. Let g(m) = 2*s(m) - 6*y(m). Let i(f) = 608 + 599 - f - 1207. Determine i(g(d)).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of h**2 + 18*h - 237. Let r be o(-8). Which is bigger: -2\/29 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + ((-1 + -1)*1 - -4). Let k(u) = -u**2 - 9*u + 2. Let b be k(-4). Suppose n = -5*f + 2*f + b, -w*f = -15. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -770941 = -60*v + 99899. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4179774 to the power of 1\/2, to the nearest integer?\nAnswer: 2044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 4, -3, -3\/34, 22?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2078016\/35 >= -59373?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (-2)\/3*3. Let r be 2 - u - (-288)\/4. Let h = -7 + r. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -15 - 13 - 1282*l + 1288*l. Let c be g(4). What is the units digit of ((-314)\/(-6))\/(117\/27 + c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 302, 290, 272, 248, 218, 182?\n\"Answer: -3*b**2 - 3*b + 308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1321515 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 12 = 5*s, o + 1 = 4*s - 3. Let p(n) = -2*n**3 - 3*n - 7. Is p(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-4))**(-3\/8)\/(z**13*z*z**(-1\/24)) assuming z is positive.\nAnswer: z**(-299\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 2 = -5*u + 4*a, a = 4. Let s = u + 3. Suppose -4*n - h + 16 = -0*h, -s*n - 5 = -5*h. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 6*b)*(b - 3*b + 0*b)*(-2 + 3 - 3) - 360*b**2 + 118 + 107 - 225 to h + r*b + x*b**2 and give x.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.01, 1\/5, 1\/6?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -8.25, -0.6, -7, -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + 1. Let o be (c\/10)\/((-2)\/(-10)). Suppose 0 = -o*n + 3*x + 60 + 30, 0 = -3*n + 5*x + 88. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from ppiitiiittt.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.2 + 4.84. Let b = r - -0.16. Put b, 1\/9, -0.1 in descending order.\nAnswer: b, 1\/9, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 12*u + 2*u - 3*u - 6 + 2*u. Is r(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/((-28)\/12))\/(-5).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100011101000 + 11011110001?\nAnswer: -11000111110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 650 + (-4)\/8*(18 + -6). Calculate the highest common factor of q and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(-2)*103\/((-927)\/18).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 3*n**6\/8 - 7*n**5\/16 - 545*n**4\/24 - 155*n**3\/2 - 45*n**2 + 11117*n. What is q in v(q) = 0?\nAnswer: -3, -2, -2\/9, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34816587*v**4 - 6*v**2 + 7550*v - 61 wrt v?\nAnswer: -835598088*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*j + 6 = 158*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1570 and 281344.\nAnswer: 1406720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7024513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.4559 + -0.74755. Round h to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9407 - 9412. Let l(c) = c**2 + 9*c + 12. Calculate l(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2868, -5740, -8602, -11448, -14272, -17068?\nAnswer: -19830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2625 + 4058. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 81\/8 in -0.01, -1089, 5, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 - 55*s**2\/6 - 155*s\/6 + 25.\nAnswer: 5*(s - 3)*(s + 2)*(6*s - 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 4 = 4*s. Let b(c) = 12*c**2 - 2*c + 1. What is the remainder when b(s) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 34313 or 34283?\nAnswer: 34313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59429.\nAnswer: 67, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*p**4\/4 - 3125*p**3\/4 + 344315*p**2\/4 - 666855*p\/4 - 253575 = 0. Calculate p.\nAnswer: -1, 3, 140, 483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**2\/3 + 1469*a\/3 - 38870\/3 = 0 for a.\nAnswer: -1495, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do -7628196 and -7628195 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -253 - -257. Solve 24 - 20 = -t*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 (base 10) in base 8?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 5 - 4*h**2 - 4*h - h**2 + 18*h - 11*h + h**3. Let x be z(5). Solve 3*p - 2*d - 19 = -7*d, 4*p + 4*d = x for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-48)\/18*(-3)\/2. Suppose -4971 = -5*q - 4*i + 1870, -3*i - 5479 = -n*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -93 + 93.5. Let x = 2 + 4. Let d be 10\/(-18)*(-6)\/15. Which is the nearest to x? (a) q (b) d (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16*11.5\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 267 + 442. Suppose -p - u = -1824. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249812 is divided by 422.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 949?\nAnswer: 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1.35 * 0.4\nAnswer: 0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 4*p**2 - 4*p + 1. Let b be m(5). Let a(d) be the second derivative of 1\/6*d**3 - 1\/2*d**2 - 1\/2*d**4 - 19*d + 1\/20*d**5 + 0. What is a(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 886 = -6*p + 166. Let u = p + 136. What is the least common multiple of 2 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b0310 (base 13) to base 12\nAnswer: 132143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/(u**(2\/21)\/u*u)*u)\/u)\/(u**(-1\/7)*u))**(-3) assuming u is positive.\nAnswer: u**(-22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.10402ml to litres.\nAnswer: 0.02510402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/5 or -114\/11?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -51bb1e (base 16) to base 14\nAnswer: -9d6022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -39*w**2 + 147. Let r(h) = -h**2 + 2. Let m(p) = g(p) + 3*r(p). Find the first derivative of m(b) wrt b.\nAnswer: -84*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j**5 + 311671623*j**4 + 68*j**2 - 1460389*j - 1 wrt j?\nAnswer: -120*j**2 + 7480118952*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18868 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31.045 - -31. Let i = -0.0450024 - d. Round i to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 55*n**2 + 2*n + 83. What is the tens digit of u(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t + 3*t - 4*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 1. Let s(w) = -5*w**2 - 3. Let y(q) = 3*a(q) + s(q). Let i(h) = -9*h. Determine y(i(x)).\nAnswer: -162*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 411 - 229 + 479*r - 181.\nAnswer: 479*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 266138184?\nAnswer: 2, 3, 13, 853007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a millennium in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -842955422*a**4 + 448767168*a**2 wrt a?\nAnswer: -20230930128*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 7*i = -2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 17 - 127. Solve -5*w + j = 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -27. Let m = z - -3. Put m, -2, 5 in decreasing order.\nAnswer: m, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rtlg when four letters picked without replacement from {g: 1, l: 5, m: 3, c: 1, r: 1, t: 1}.\nAnswer: 1\/2376","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0354949 to 3 dps.\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 16770 = 14430. Round h to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 229313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10658 - 21623 = -614*k + 14300 + 17101 for k.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/342100 and 63\/151768.\nAnswer: 41736200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 4*o - 4*o)*(o - o - 3*o) + 3*o**3 + 376*o - 415*o - 12*o**3.\nAnswer: -3*o**3 - 39*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from twqmwwwqmm. What is prob of picking 2 q?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.495 to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 + 63*g**2 - 129*g + 65.\nAnswer: (g - 1)**2*(g + 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - r - 6 = 4*u, 4*u + 8 = -2*r. What is the lowest common multiple of -105*u*3\/15 and 39?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4564535576.\nAnswer: 2, 41, 13916267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 29450 = -p, -5*s + 6302 - 94673 = -3*p. Does 24 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3534545 + 1103545. What is r rounded to the nearest one hundred thousand?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of u**5\/60 + u**4\/4 + u**3\/6 + u**2. Let k = 10 - 17. What is the remainder when t(k) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-124 - -117) + (1 - -23) + -1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35961 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 6*m + 1. Let t(o) = 7*o + 24. Let k be t(-3). Suppose 2*d + 3*p + 2*p + 27 = 0, 5*p = k*d + 3. Give y(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of p**5\/4 - 11*p**3\/6 + 20*p - 6. Let j(u) be the first derivative of s(u). Find the second derivative of j(z) wrt z.\nAnswer: 30*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89.70512g in kilograms?\nAnswer: 0.08970512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -491221*s**3 - 526035 with respect to s.\nAnswer: -1473663*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3062 divided by 80?\nAnswer: -1531\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g**2 + 5*g + 2. Let k be x(-3). Suppose -55 - 30 = -k*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(1 - 3\/2). Let k(g) = g**2 + 4*g**2 + 11*g - 2*g**b - 9*g. What is the units digit of k(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3731036 (base 8) to base 14\nAnswer: 1cac22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 42 + 192. Let p = b + -32. Suppose -4*d + 2*d + 36 = 0. Calculate the highest common factor of d and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h + 12. Suppose 0 = n - 4*i + i + 4, -n + 4*i = 7. Suppose 2*o = b + 1, -5 = n*o - o + 5*b. Suppose o = 3*p - j + 3*j + 15, 0 = j. Calculate k(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 954818 to the power of 1\/3, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 18465.27 centuries?\nAnswer: 22158324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, f: 2, d: 5, k: 1, x: 4}. What is prob of sequence xqk?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -9, -u - 4*c - 1 = 7. Suppose u*o - 1 = -3*k + 2, 4*o = -k - 7. What is the smallest common multiple of k and -4 - (-5)\/(-3)*-3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*f - 24 = -0*f, -h + 5*f = 6. Suppose 0 = h*a + 3*p + 1, -p - 9 = -3*a - 0*a. What is the units digit of (-1)\/a*(5 + -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -802 = -46*g + 3752. Solve 0 = 6*u - g + 87 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mzmmmmmmzzzmzmmm. Give prob of picking 1 z and 2 m.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 9835*u - 414*u**2 + 1 - 422*u**2 + 826*u**2.\nAnswer: -10*u**2 - 9835*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 22*g**2 + 1387*g - 26. Give a(-63).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -38 + 63. Suppose -2*v - 3*s = 2*s - i, 0 = -v + s + 9. Let l be 24\/(-14)*105\/(-2). Calculate the highest common factor of l and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5953.32 times 0.083\nAnswer: -494.12556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, 819, 28\/11?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -122 + 125. Is 52 a factor of (4 - 5 - -5) + f + 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7442 + 9708 = -245*s for s.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2220\/29, 3, -957 in increasing order.\nAnswer: -957, 3, 2220\/29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 601 - 2507. List the prime factors of d.\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*-1 + (0 + 8 - 7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/89315856 and 36\/35?\nAnswer: 446579280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence euy when three letters picked without replacement from uuttyuyeuee.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-9))\/(5\/15) - 1926\/214\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -23441124 (base 7) to base 11\nAnswer: -1199762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 95909520906.\nAnswer: -95909520905.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p + 1. Suppose -11*q - 6 = 16. Calculate the lowest common multiple of 2 and x(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(1 - -1) + 33\/27. Factor -m + 0*g**2 + 2\/9*g**4 + 4\/9*g**3 - 4\/9*g.\nAnswer: 2*(g - 1)*(g + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 11*o**5\/60 - 7*o**4\/24 - o**3 + 53*o**2. Is d(5) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-4) + (-51 - -49))*(-16)\/(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o - o**3 - 12551 + 12551.\nAnswer: -o**3 + 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 907498264 and 656?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -x**4\/2 + 7*x**3\/6 - 7*x**2\/2 - 8*x. Let c(s) = s**2 - s + 1. Calculate 3*a(d) + 21*c(d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 8*m**2 + 5*m + 4. Let a be u(8). Suppose 0 = -3*k + 55 + a. What are the prime factors of k?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4 + 3*y + 2*y - 1 - y**2 + 4. Let c be z(5). Let m(i) = 5*i**3 - i**2 - i - 1. What is m(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r - 4. Let d be k(-7). Solve -6*b**2 + 2*b - b - 4*b - 3*b**d = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 7*y = 8*y - 17, -4*z + 9 = -3*y. Let o be ((-22)\/(-10))\/(z\/150*5). Put o, 4, -5, 1 in descending order.\nAnswer: o, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(1440) - sqrt(10))\/(sqrt(605)*4 - sqrt(605) - sqrt(5)))**2 - (4*sqrt(128)*1 - ((sqrt(128) + sqrt(128) + 0)*5)**2).\nAnswer: -32*sqrt(2) + 6554969\/512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -0.4, -2\/3, -0.079?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 345374 + -76327948\/221. Let y = i + 20\/17. Is y at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -4470\nAnswer: 13410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 13652 = 2*m, 114 - 10353 = -3*h + 4*m. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-319 - -370) + -42 + -1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37895 is divided by 53?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 + 112*b - 2858. What is u(73)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 197 + -215. Let y be x\/4*(-1088)\/102. Calculate the highest common divisor of y and 128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -153624240 divided by -4389264?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1612565 to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(19))*1 - (sqrt(475)*1 + sqrt(19)).\nAnswer: -5*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 7, -127, 2 in descending order.\nAnswer: 7, 5, 4, 2, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -88, -86, -84, -82, -80?\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -105 + 3?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73 - 70. Let h be -7 - (-3 + l) - (-2 + 1). Let d be 16\/h*-12*4\/8. What is the highest common factor of 16 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j**4 - 4*j**4 - 6*j**4)*(2 + 1 - 2) - j**4 + 2*j**4 - 2*j**4 in the form d + z*j**3 + x*j**4 + o*j + w*j**2 and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 63327?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a century in years?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (13 + -17 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 AM and 8:50 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 3*t**2 + 16. Let r = -1996 + 1989. Let v(n) = -n**3 - 2*n**2 + 11. Determine r*v(a) + 5*p(a).\nAnswer: 2*a**3 - a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 81 - 139. Let m be 3\/(-6) + h\/4. Does 5 divide (-160)\/m - (-4)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.69342276 to 3 dps.\nAnswer: 0.693","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 749*n**3 - 8*n**2 - 32*n - 8. Let d(m) = 5992*m**3 - 63*m**2 - 252*m - 63. What is -63*a(z) + 8*d(z)?\nAnswer: 749*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 11.58. Let q = 1.58 - a. What is the second smallest value in q, 0.1, -2, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and -124580198?\nAnswer: 124580196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41282.\nAnswer: 2, 20641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1252, -1263, -1274, -1285, -1296, -1307?\n\"Answer: -11*c - 1241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -15.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 5*z - 36 = 0, -5*n = -4*z - 161928 + 161951 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.01 (b) -5 (c) 13\/3 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z - 101. What is k(-23)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - 15. Solve -2*g = -c + 1 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 + 9*v - 6. Let j be o(8). Suppose -3*h = 11 + 1. Let n = j - h. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 = 3*u + 4*q, 5*u + q - 102 = 144. Calculate the greatest common factor of 196 and u.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88 * -771.042\nAnswer: 67851.696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-six fifths of a microgram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 2:45 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 5*q**3 + 6*q**2 + 6*q. Let d(m) = -9*m**3 - 11*m**2 - 13*m. Suppose -2*a - j + 13 = 0, -2*a + 0*j - 4*j + 16 = 0. What is a*d(z) + 11*s(z)?\nAnswer: z**3 - 12*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = 5*k + 2*t, -5*k + 6*k + 3*t = 5. Which is the biggest value? (a) k (b) -8 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = s + s - 104, 3*n - 59 = -s. Calculate the remainder when s is divided by (-3 - 0) + (-2 - (-23 - 0)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l**2 + 3 - 3)*(-12430 - 10463 + 131*l - 4816 - 133*l) to the form u*l**2 + a*l + n + j*l**3 and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.6? (a) -230 (b) 1\/7 (c) -1\/9 (d) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -0.2, 2\/15, -2\/5, 90104, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -3*r - r - 61850. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 4, 76\/7, 717, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -857*n**2 - n**3 + 1711*n**2 - 854*n**2 - 2*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0206 * -446.\nAnswer: -9.1876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x + 3*x - 2*x)*(16*x - 1 - 31*x + 17*x).\nAnswer: -2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from qqqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -20842533 greater than or equal to -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Is -299307 >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1736021.378 to the nearest ten thousand.\nAnswer: -1740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 + 13*q**2 - 6*q + 114. Let p be j(-14). What is the second derivative of -7*y + y - 8 - 129*y**p + y + 49*y**2 wrt y?\nAnswer: -160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 3, x: 4, r: 6}. What is prob of picking 2 v and 2 r?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -8.9 (c) 0.31 (d) 30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/6 - 14\/(-3). Let h(s) = s**3 + 5*s**2 + 5*s + 6. Let l be h(-4). Calculate the greatest common factor of l and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10412.\nAnswer: 2, 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 12 = -3*d. Let f = 4 + d. Let z(a) = -a**3 + a**2 + a + 31. What is the tens digit of z(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270702?\nAnswer: 2, 3, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 236788809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -167*z**2. Let b(d) = -7*d. Give a(b(c)).\nAnswer: -8183*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -91 - -90.99. What is the biggest value in -5\/6, -2\/5, -2, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5994298, -11988599, -17982900?\nAnswer: -23977201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -23, -14, -3, 10, 25, 42?\n\"Answer: g**2 + 6*g - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 PM and 3:29 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of 35*z**6\/2 - z**2\/2 - 55*z - 99. Find the second derivative of s(h) wrt h.\nAnswer: 2100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -r**4\/24 + 33*r**3\/2 + 24*r**2 + r. List the prime factors of z(14).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5413\/1320 - -1\/1320. What is the common denominator of i and -1 + 4 + (-129)\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 100430722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from hdhdhhd?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.47 + 5.5013. Let p = k + -1.0313. What is the closest to 3\/4 in p, -5, -8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 5:09 PM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 3*l**2 - 3*l + 3. Let v be s(2). Let p be (-100)\/(-8) - v\/2. Solve 0*a + 2*u - 6 = a, 0 = -5*a + u - p for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 9:26 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 4*y - 68 - 5, y - 14 = -3*n. Calculate the highest common factor of y and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134547345 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-80))\/(92\/(-25) + 2 + 2).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1060749?\nAnswer: 3, 17, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r - 7. Let t(v) = 3*v + 20. Let a(f) = -7*d(f) - 2*t(f). Let u(c) = -2*c + 6. Let b be u(6). Let i be a(b). Solve -i*p = -4*p + 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-468)\/(-90) + (-2)\/10. What is the second derivative of -60*s**5 + 12*s**o - 27*s + 15*s + 11*s - 20 wrt s?\nAnswer: -960*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-4) - (-15)\/(-6). Let v be (c - (1 - 2))*-149. Suppose m = -m + v. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47109581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from onnddnd. What is prob of sequence ddd?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-m**3 - 8*m**3 + 0*m**3)*(1 - 3 + 4)*(1 - 4 + 1) in the form p*m + n*m**2 + j*m**3 + i and give j.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 4646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4730)\/770 - (1 - 10))\/(10\/245).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1165 and -24892?\nAnswer: -28999180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/sqrt(2))\/sqrt(4) + (sqrt(132)*-1)\/sqrt(12) - (sqrt(352)\/(sqrt(8) + sqrt(128)))\/sqrt(4).\nAnswer: -sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -130\/47 + 6749\/282. What is the common denominator of -8\/33 and b?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9888457, 19776913, 29665369, 39553825, 49442281?\n\"Answer: 9888456*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c - 2 - 68 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -113 - -119. Let t be 6\/1448*(b - 2). Are t and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*l**6 - 26*l**3 - 129*l**2.\nAnswer: 840*l**3 - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 19*p + 2. What is z(1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5230 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/1407 and 1\/732?\nAnswer: 343308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**2 - 5*g. Is w(6) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -30*v**3 - 9*v**2 + 6*v + 29. Let i be w(-8). Is i\/(-10)*2\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/11 - 84*f + 8478\/11.\nAnswer: -2*(f - 9)*(f + 471)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 164 (base 9) to base 5.\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(170) + -2*(sqrt(170) - sqrt(170)*3) + sqrt(170)))\/((sqrt(250)\/sqrt(5))\/sqrt(5) + 6*2*sqrt(10)).\nAnswer: -6*sqrt(17)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11817*f*x**2 - 25913*x**2 with respect to f.\nAnswer: 11817*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fkmm. Give prob of sequence mf.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-1)\/(-1))\/((-3)\/60). Let g be (f - -18)\/(2\/(-4)). Let o(p) = p**3 - 3*p**2 + 3*p - 7. Let z be o(g). What is the highest common factor of z and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161474952 is divided by 165.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1002102 (base 6) to base 14\nAnswer: 13262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19233 times 140?\nAnswer: 26.9262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3693 + -3689. Let h = 3 - 11. Let d(m) = -m - 3. Let l be d(-5). Sort l, h, q in descending order.\nAnswer: q, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-k**3 + k - k)*(-3 + 1 - 6) - 2*k**2 + k**3 + 2*k**2)*(-7*k + 6*k - 10*k).\nAnswer: -99*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 18*h + 21*h - 708 = 0, 0 = 3*o + 5*h - 520. What is the remainder when o is divided by 47?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 924\/100 - (-14 - (-276)\/12). Which is the nearest to 0? (a) 0.054 (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 55*q**2 + 126*q - 16. Does 22 divide r(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50986189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -9 - 1) + -19 + 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1280444 is divided by 3231?\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395 is divided by 132?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.162 + -0.038. Put -2, d, -3, -0.3 in decreasing order.\nAnswer: d, -0.3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 66671 and 319?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b + 4*b + 38 - 8*b - b)*(-2*b - 119*b + 20*b - 4*b + 0*b + 2*b + (0 + 2 - 1)*(2*b + 0*b - b)).\nAnswer: 102*b**2 - 3876*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 35 and 5338.25?\nAnswer: 186838.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a day in hours?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -39, 9, 3, 1.34?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 0*l - 1\/120*l**6 - 52*l**2 + 0*l**5 + 71\/6*l**3 + 7\/12*l**4 + 0. What is the first derivative of s(z) wrt z?\nAnswer: -3*z**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4984)\/8 + (-3)\/(6\/4). Let b be 3200*((-8)\/10)\/(2\/g). What is b rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**0*z)\/z*z**(-7\/4))\/((z\/(z**(-6)*z))\/((z*z\/(z*z**(7\/2)))\/z)) assuming z is positive.\nAnswer: z**(-37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 72 - 2. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 7*l + 71. Let q(g) = 33*g + 343. Let m(k) = 14*b(k) - 3*q(k). Determine m(-26).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48955399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 k when three letters picked without replacement from jwk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rmm when three letters picked without replacement from rrkrmrkrrr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 5:42 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 2658 = 654*g, -3969 = 4*g + 3*j - 4027 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1123132 + 101330?\nAnswer: 1231122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 v when two letters picked without replacement from lpsvstle.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**3 - 2*v**3 + 3*v**3 + v**3 - 4*v**3 - 5*v**3 + (2*v**2 - 4*v**2 + 0*v**2)*(3*v - v - v).\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 461*d**2 + 434*d**2 - 671*d**2.\nAnswer: 224*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/16412 and 3\/32824.\nAnswer: 32824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -0.5 (c) 0 (d) 2.18 (e) 209 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -471069079 at least -471069079?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 29*r**2 + r - 27. Let u be z(29). What is the nearest to 1 in -2, 0.1, u?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13764 by -74.\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 183 - 179. Solve -4*b + 12 - o = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**4 + 3*z - 2*z**3 + 0*z**4 - 4*z - 3*z - 8 to the form q*z**2 + n*z + u + p*z**3 + y*z**4 and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15d3 (base 15) to base 14.\nAnswer: -19d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (-8 + (-10)\/4))*(-5 + 3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -7*a. Let s(z) = 2*z**2 - 2*z + 1. Let m(g) = 96*g**2 - 60*g + 30. Let j(c) = -m(c) + 30*s(c). What is j(i(b))?\nAnswer: -1764*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 6 = 2*m. Suppose 3*a = 5*a - m. Factor -d**2 + a*d**4 - 4*d**2 + 2*d**2.\nAnswer: 3*d**2*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -143132 (base 5) to base 12\nAnswer: -35b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220 = 45*j + 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 2:00 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 3676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -409 + 3459 = -5*l. Let g = l - -1023. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -15*c + 295*c + 722*c + 2 - 153*c. Let v(u) = -3*u**2. Give d(v(t)).\nAnswer: -2547*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -111*q + 18. Let y be n(12). Let u = 1855 + y. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*n = 9*n - 441, -9 = 3*n. Is 5 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55336169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 49*o = 198, 4 = -26*l + 28*l - 2*o. Let a be 0 - (1 + 0 + 0). Let w(n) = 3*n. Let h(b) = -1 + 0 + 0. What is a*w(t) + l*h(t)?\nAnswer: -3*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 113848 + -113846. Let x = 3 - 3. Suppose -1 = l - x*l. Let v(k) = 4*k**2 - 3. Let d(f) = f**2 - f - 1. Calculate j*d(s) + l*v(s).\nAnswer: -2*s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 120 = -c. Suppose c = j - 4*s, 2*s = 6*s + 20. Let g = j - -2. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1679 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 77683961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 8*a**2 + a - 5. Does 12 divide g(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647.7211 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/2970 and -41\/27?\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8001 and 441.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0284231 + -0.024986. Round i to 5 dps.\nAnswer: 0.00344","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x - 8. Let c be n(0). Let w = c + 11. Suppose 2*o - w*o = 0. Solve -2*i + 6 = -o*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 + 2*v + 4. Let i be f(-2). Let s be 8\/(-12)*(i + -7). Solve -n + 3 = -s for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39*h**3 - 998*h**2 + 51931*h wrt h.\nAnswer: 234*h - 1996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**4\/5 - 2094*f**3\/5 - 101488*f**2\/5 + 103584*f\/5 = 0.\nAnswer: -996, -52, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (807\/9 - 3)*-6. What is o rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*p + 5*j, 5 = -3*p - j - 2. Let m = 0.105 - 0.205. Which is smaller: p or m?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -1\/24*p**4 + 7\/6*p**3 + 0 - 4*p**2 + 0*p. Let v(i) = -i**2 - 9*i - 3. Let m be v(-8). What is y(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*z**3 + 7*z**3 + 11*z**3 + 7*z**3 + 12*z**3.\nAnswer: 23*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 - (3 + -5 - -4 - 0)) + -4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -936 + 994. What is the remainder when 105 is divided by f?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*i**3 + 134*i**3 - 162*i**3 - 198*i**3.\nAnswer: -279*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34188 + 34948. What is the remainder when y is divided by 232?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 16 - 41. Suppose -3*g - 9*a + 22 = -4*a + 61, 4*a + 24 = 0. Put g, u, 6 in increasing order.\nAnswer: u, g, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/707 or -165?\nAnswer: -2\/707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*k + 551 = 4*k. Suppose k*h + 221 = 42*h. What is the remainder when 82 is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1853.\nAnswer: 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 392*n + 209*n = 956*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21424630 rounded to the nearest one million?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - k**2 + k. Let c be b(0). Suppose 4*a = -c*a + 20. Solve v + a = 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from ojojoojjjooojjjjoooj.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4*g - 72 = 0, -g - 33 - 25 = 3*k. Let a be (k\/4)\/((-2)\/12). Suppose 3*q + 5*s - a = 211, -4*q - s + 310 = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 19 = 29. Let s = -26 - u. What is the tens digit of (-8)\/3*45\/s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**1*t**(-2\/25)*t)\/((t*t*t**(-1\/3))\/t*t)**7*t\/(t*((t\/t**(2\/17))\/t)\/t)*t**8*(t*t**(-1\/7))\/(t**7*t) assuming t is positive.\nAnswer: t**(-78289\/8925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1.4 (b) 1129 (c) 3\/7 (d) -0.2 (e) 1\/2 (f) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/5 in 70, 1, 95, -6\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of l**9\/504 - 1303*l**6\/120 - 43*l**5\/10 + 2*l**3\/3 - 2322*l**2. Find the third derivative of v(o) wrt o.\nAnswer: 120*o**3 - 7818","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/6 of a hour?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -920594200 and -0.04688?\nAnswer: 920594199.95312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 28601 (base 10) to base 7\nAnswer: 146246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/39 - -293\/117. Let x = -531027 - -5303267\/10. Let i = x + 701. What is the common denominator of k and i?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -25. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 15\/2 + 8\/(-16). Suppose 2*u = 15 + h. Suppose 0 = -5*c + 5*m + 20, 0*c - 3*m - u = -2*c. Put -3, c, -5 in decreasing order.\nAnswer: c, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b\/(b**(18\/7)*b))\/b)\/b*b)**(-13))**(2\/83) assuming b is positive.\nAnswer: b**(468\/581)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26715885 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1086403.\nAnswer: 109, 9967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2170?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**2 + v + 59. What is the remainder when 229 is divided by r(0)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by -90.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 14, -2, -40, -106, -206, -346, -532?\nAnswer: -770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -1088628.\nAnswer: 1\/362876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -32 - -6 - (-2 + 4). Let l = 31 + w. Solve -4*g = 2*o - 2, -g = l*g + o + 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -3, -2\/5, 10.2 in ascending order.\nAnswer: -3, -2\/5, 1\/6, 10.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -651358 + 651219.9826. Let o = i + 138. Round o to 3 dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 26*p**2. Let i(b) = -b**2 + 3*b. Determine m(i(t)).\nAnswer: 26*t**4 - 156*t**3 + 234*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 15, 0.4, -2020, 0.2?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1720*n = 1723*n - 591. Does 9 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.0784 meters in kilometers?\nAnswer: 0.0310784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = g + 3, 8*k - 15 = 5*g + 12*k. Let y(b) = -b**2 - 2*b + 5. Let m(d) = -d**2 - d + 3. Calculate g*y(r) + 5*m(r).\nAnswer: -2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l. Let f(m) = 224*m**2. Calculate y(f(t)).\nAnswer: -672*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2.11, 4, -5, 0.3, 3\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + w**2. Let t(h) = 2*h**3 - h**2 - h + 2. Let y be t(1). Calculate n(y).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**5 - 231*a**4 + 972*a**3.\nAnswer: -3*a**3*(a - 4)*(a + 81)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/23087 and 63\/10.\nAnswer: 230870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q. Let h(r) = 1004*r**2 + 7. Let j(w) = 335*w**2 + 2. Let p be ((-482)\/723)\/(1 + (-8)\/6). Let m(v) = p*h(v) - 7*j(v). Determine t(m(u)).\nAnswer: 674*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 5, 4, 3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t + 3*t + 8 - 6*t + t. Let h be d(-8). Solve h = 3*g + g - 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 263*c**2 - 12*c**2 - 5*c**2 + (-4*c - 4*c + 6*c)*(0*c - 4*c + 3*c) as q*c**2 + j*c + l and give q.\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2 + (sqrt(192) + -1 - sqrt(192)) + 5 + -1 + (-6*(sqrt(36) - -2*sqrt(36)) - sqrt(36))\/sqrt(12))**2.\nAnswer: -38*sqrt(3) + 1080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 96, 34 in decreasing order.\nAnswer: 96, 34, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 283\/11, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n + 0*n + 5 + n + n**2 - 6 - 1. Suppose -35 = -13*m + 20*m. Give t(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -73 - -83. Suppose -2*p + 0*m = 4*m - b, m = -4*p + 48. What is the remainder when 77 is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80\/77 less than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 - 1226*b + 22 - 870*b in the form z + t*b and give t.\nAnswer: -2096","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 + 42 + (-1 - -3). Let w be (10\/(-15))\/((-1)\/9). Suppose 4*a = -3*d + i, -27 = -a + w*d - d. Calculate the least common multiple of a and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 45 and 7060?\nAnswer: 317700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*z + 21 = 21*z - 3*k, -13 = 3*z + 2*k for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l = -4*p - 7*l, -2*p = -5*l - 16. Let y(o) = o + 11. Let h(f) = 6. Determine p*y(g) + 5*h(g).\nAnswer: -2*g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 6*b**2 + 2*b + 1. Let r be q(-1). Suppose 2*t = 5*w + 46, -r*t + 8*t - w - 43 = 0. Suppose -12*n = -t*n + 3. Put -3, 2, n in decreasing order.\nAnswer: n, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 4*a**2 + 3. Let k(t) = -5*t**2 - 4. Let x(z) = 4*z - 1. Let u be x(1). Let s(q) = u*k(q) + 4*m(q). Let d(l) = l. What is s(d(n))?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 + 11 + 13*z + 15 + 14 + 19.\nAnswer: 13*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 0. Let l = 0.5 - 0. Let q = 0.3 - l. What is the nearest to q in 1, z, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4223, 4219, 4215?\nAnswer: 4211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.31 and 8.8?\nAnswer: -2.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**3 + 3*n**3 + 0*n**3)*(-2*n - n + 4*n) + 0*n**4 - 5*n**4 + 0*n**4.\nAnswer: -3*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 7*v**2 - 9*v + 19. Let d be q(8). Let b(h) = h**2 + 2*h**2 + d - 11. Let a(z) be the second derivative of z**4\/6 - 2*z. What is b(a(j))?\nAnswer: 12*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28193711 is divided by 197158.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-28)*62 + 6\/(-14). Suppose -2*w = 2*o + 5 - 9, 4*o + w = -1. Let c be o\/((6\/(-4))\/3). Solve y*d = c - 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-1 + -32 + 640 + -645).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 672 - 653. Solve -8*z - 29 = i for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*l**2 - 16*l**2 - 23*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, v: 5, o: 4, f: 5}. Give prob of sequence vvvf.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-one halves of a milligram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 - 5)*(-3*q + 6 - 6) + (3*q - 4*q + 4*q)*((-1 - 2 + 4)*(-1 + 3 - 4) - 5 + 2 - 2) to the form n + g*q and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11087032597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r. Let x(q) = -5*q**3 - 20*q. Let v be (6 - (8 - 3))\/(-1). Give v*x(w) - 20*f(w).\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-81)\/(-2))\/3 + 68\/(-136). Let x = -1 + 1. Let y be (-2)\/(-1 + x) - -89. What is the highest common factor of f and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2548 - 1993. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, -16, -55, -110, -187, -292, -431, -610?\nAnswer: -835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -188, -1675, -5774, -13799, -27064, -46883, -74570?\n\"Answer: -219*x**3 + 8*x**2 + 22*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 6 = -s, 4*s - x - 2 = s. Suppose -r - r + 20 = s. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 38 = 5*c - 51, 2*o + 3*c - 45 = 0. Let i(b) = -b**3 - 19*b**2 - 19*b - 9. What is the lowest common multiple of i(-18) and o?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 8*j**3 - j**2 - j + 1. Let y(g) be the first derivative of g**4\/4 + 4*g**3\/3 + 2*g**2 + 4*g - 3. Let n be y(-3). List the prime factors of a(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 2. Let l = -0.3 - -0.8. Let z = l + -0.2. What is the nearest to -1 in -2\/3, z, w?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 858 a factor of 1105107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/60 and 7\/7054190.\nAnswer: 42325140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 94269, 94243, 94197, 94131, 94045, 93939?\n\"Answer: -10*v**2 + 4*v + 94275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2.40734 (b) 0.33 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhjjhhjhhhhhhjjhjhj. Give prob of sequence hj.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 11*o**2 - 10*o - 8. Let u be k(8). Let i = u + -113. What are the prime factors of i + 205 - (0 + 0 - -2)?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 5*f**2 + 5 - 7 in the form k + r*f**2 + v*f and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*y = -748*y - 243*y + 21736 for y.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2 - 5*k + 1. Let a(n) = 2*n**2 + 2*n. Determine -5*a(l) - 2*z(l).\nAnswer: -6*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 4*p**2 + 5*p - 1. Let h(r) = -r**3 + 5*r**2 + 6*r - 1. Let n(w) = -2*w. Let u be n(3). Let c(o) = u*m(o) + 5*h(o). Calculate c(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 7:42 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3338 to 2 dps.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 1054?\nAnswer: -527","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 0*z + 40. Let q(l) = -2*l + 6. Let p(v) = -v + 7. Let n(h) = -6*p(h) + 7*q(h). Is 16 a factor of n(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/4)\/r)**(1\/26)*(r**(1\/4)*r)\/(r*(r**3*r)\/r))\/((r**(2\/3)\/r)**(-37)\/(r**5\/(r**0\/r))) assuming r is positive.\nAnswer: r**(-2843\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 89726, 360788, 812558, 1445042, 2258246?\n\"Answer: m**3 + 90348*m**2 + 11*m - 634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 453577*l**2 - 566*l - 453572*l**2 + 566*l.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 657792900.\nAnswer: 2, 3, 5, 17, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 9*q**2 + 6*q + 4. Let m = 21 + -21. Suppose m = b + b - 18. Is u(b) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44\/3*w + 1\/6*w**2 + 415\/6.\nAnswer: (w - 83)*(w - 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 102700751?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(-3*n**2 + n**2 + 3*n**2) + 8*n**2 + 14*n**2 - 6*n**2.\nAnswer: 18*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 c when four letters picked without replacement from itttcticttcc.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.66 rounded to the nearest integer?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from {z: 8, a: 5}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 302211123300 (base 4) to base 15\nAnswer: 126e0a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5066 and 622522?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 140799.9 rounded to the nearest one hundred?\nAnswer: 140800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 1101?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - n - n**3)*(-12 - 18 + 54) + 0*n + 0*n - 2*n**3 + n**3 + 4*n**3 - n**3.\nAnswer: -22*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*d + 73*d + 76*d = 11834 for d.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j + 4 - 4)*(10 + 12 - 2) to the form y*j + k and give y.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 15426775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 27896 a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 - -4. Let d = -20 - o. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 48422 and 603461294.\nAnswer: 603509716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3031 by -727.\nAnswer: -3031\/727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -180 - -92. Let u = 88 + b. Is (u + 508)*10\/8 - 4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of j**4\/12 + j**3 + 2*j**2 + 2*j. Let i = 301 + -305. Calculate b(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 1144*t**7\/7 - 13664*t**3\/3 - 11318. Find the third derivative of x(p) wrt p.\nAnswer: 137280*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/(-25) - (-6)\/(-10). Let m = -1\/70 + 3\/10. Does m = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/3)\/((-1)\/(-2)). Let z = 0.25 - 0.65. Let w = 3 + -3. What is the closest to w in z, -1, q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**3 + 1247060*r**2 + 17459428*r + 61108684 = 0 for r.\nAnswer: -7, 311779","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.001 smaller than -13291?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010 + -11100000?\nAnswer: -10111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 12:32 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -246 - 42196.346?\nAnswer: -42442.346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10098*p = -c - 10100*p + 94, 0 = c - 5*p + 235 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**3 + 26160*v**2 - 34295625*v + 204833070.\nAnswer: -5*(v - 2613)**2*(v - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 0*x = 4*r + 40, -2*r = -4*x + 50. Suppose v = 6*v - x. Let u(h) = -3*h**2 - v*h + h**3 + 3*h**2 + 0*h - 3*h**2. Determine u(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1429\/3 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 42542880671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*s**4 - 21322*s**3 - 52520*s**2 + 35224*s - 5280 = 0. What is s?\nAnswer: -3, 2\/7, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17745.\nAnswer: 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/13*k**4 + 2\/13*k**2 + 2\/13*k - 2\/13*k**3.\nAnswer: -2*k*(k - 1)*(k + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -50737796 < -50737795?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 75.29683 to 2 decimal places.\nAnswer: 75.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 333 divided by 1.\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41264682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 896040.\nAnswer: 2, 3, 5, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*c + 17. Let f = -5 + c. Suppose 3*u + 5*h = 17, 0 = 2*u - 5*h - f - 2. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69*48144\nAnswer: 3321936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.2 + 0.2. Let v = -8.2 - p. Let y = v - -0.2. Which is the third smallest value? (a) -0.3 (b) 0.4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*j - 93 - 7 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -290597 divided by 1?\nAnswer: -290597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*w - 493*w - 697*w + 138*w - 35483 = 0 for w.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (731\/9 + (-18)\/81)*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000201122212 (base 3) in base 15?\nAnswer: aba9e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 200 and 500.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g + 2. Suppose 0 = -2*s - 5*n, -2*n - 11 = -2*s + 3. Suppose l = -s*k - 4*l - 10, -5 = -l. Let o = k + 5. Determine j(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 105 and 1176924?\nAnswer: 5884620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -42*o**2. Let v(m) = m**3 - 37*m**2 - 33*m + 108. Let d be v(38). Let b(c) = 596*c - 292*c - d*c. Give r(b(q)).\nAnswer: -1512*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -657, -2726, -6171, -10986, -17165?\nAnswer: -24702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 4 = 9*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o\/o**(-3\/7))\/o*o))\/(o*((o*o\/(o*o*o**(5\/7))*o)\/o)\/o*o))**(-4\/25) assuming o is positive.\nAnswer: o**(4\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 8 = 2*d, -20 = 5*d + 7*t - 14*t for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**2*x*z**2 + 30*k**2*x + 4471*k**2*z**2 - 489249*k*x*z - x*z**2 wrt k.\nAnswer: 4*x*z**2 + 60*x + 8942*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 194 - 53343\/275. Find the common denominator of 51\/100 and q.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7944752*l**6 + l**5*q + 19986*l**2 + 1307*q wrt l?\nAnswer: -953370240*l**3 + 60*l**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18876)\/33)\/52*1.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 281679, 281682, 281685, 281688, 281691?\nAnswer: 281694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45 and 238365.\nAnswer: 238365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/45 - ((-3743)\/(-3990) - 2\/4)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 147 + -144. Suppose 4*x = 0, -5*x = 2*d + 2*d - 16. Suppose -4*f + 2*c = -28, -2*c - d = -4*f - 6*c. Solve -11 = -2*v - r*j, -f*v - 3*j = -5 - 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j - 6. Let w be (-1 + -7)\/((-2)\/1). Let k be z(w). Suppose 2*v + 14 = -2*l, -4*l - 16 = 4*v - 3*v. Put k, l, 0 in decreasing order.\nAnswer: k, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w + t = -8*w + 6, 4*t = 4*w - 16 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6810 is divided by 154.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.29295 to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66 + 70. Suppose -34 = -3*d - 3*r + 26, 2*r + 32 = d. Suppose j*m - 2*m = d. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of v**4 - 160*v**3 + 9600*v**2 - 256000*v + 191. What is p in a(p) = 0?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7134*t - 8130*t - 8666*t + 21679*t.\nAnswer: -2251*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 447444767.\nAnswer: 7, 11, 41, 141731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, d: 5, m: 5}. What is prob of sequence dd?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8869.\nAnswer: 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/270 and 91\/240?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14832883 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 1583*d + 1564. What is n(-1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/421029 and 137\/8610.\nAnswer: 4210290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 2 + 2)*(-5 - 1 + 2)*(2 - 5 - 1)*(15 - 16 - 24).\nAnswer: -400*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 26*p + 7. Let u be y(25). Suppose -7*z - 200 = -u*z. Do z and 9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-38)\/(-14) + (-12)\/(-42). Suppose 0*n - 11 = 2*n - l*j, 0 = -3*n - 4*j + 26. Is ((-15)\/(-5))\/(n\/10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 943342 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.45006839 rounded to three dps?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 0.0297\nAnswer: -0.0594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 249348?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((14\/8)\/1*18\/(-21))\/(9063\/(-212)).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 - 4*q + 6. Let d = 146 + -239. Let k = d + 90. Let w be k\/(-8) + (-51)\/8. Determine c(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*a**3 - 29*a**2 - 32*a**3 + 26*a**2 to i*a + q*a**3 + n*a**2 + f and give q.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 10 = 5*t, 3*t - 40 = 4*n + 7*t. Suppose 0*m - 4 = m. Let l = 5 + m. Which is the smallest value? (a) 3\/7 (b) n (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a**2 + 112*a - 1028. Calculate v(-49).\nAnswer: 3088","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 230887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**3 - 4*o**2 + 6*o - 10. Let x be t(4). Let f be 147\/15 - (-8)\/(-10). Suppose 6*j - f = 3*j. Solve j*a + x = 2*w + 5*a, 0 = a - 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1113915 is divided by 107?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -8*p - 27. What is the remainder when v(-8) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, -2, -109, 0, -4, 17 in ascending order.\nAnswer: -109, -6, -4, -2, -1, 0, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 j when two letters picked without replacement from ejlkbjek?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16*(-5776)\/(-9728)*(-364)\/(-38)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/76530 or 0.1?\nAnswer: 1\/76530","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(704) + 1 - ((sqrt(704) - (sqrt(704) - (sqrt(704) + sqrt(704) + 1))**2) + -4).\nAnswer: 24*sqrt(11) + 710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.35 + -11.35. Let q = -3.2 + -7.6. Let c = w - q. Are 2\/3 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {f: 14, e: 1, n: 2}?\nAnswer: 91\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*u - 3*u - 5*i + 35, 4*i = -3*u - 21. Let s = -3 + 4. Let p(k) = -8*k**2 + 1. Let n be p(s). Is n at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 4*t. Let x be v(3). Let q = 6 - x. List the prime factors of 21\/q + -2*1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -1.79. Let a = -0.51 + l. Let j = 782 - 3908\/5. What is the third biggest value in 2\/9, j, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 16\/(-4) + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2465989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 5:56 PM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 AM and 2:57 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1952 and 288?\nAnswer: 17568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 + (-966)\/207)\/(3\/(-18))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*a + 403 = -5 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 1760 = -4*u + 8*g, 5*u + 2200 = 3*g. Let w = 846 + u. Suppose -4*n = 3*t - w, -204 = -2*n - t - 0*t. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 1. Let p(z) = 15*z - 3. Is p(v) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 10*b = -7*b - 3, o + 4*b - 4 = 0. Suppose 4*a - 13 - 63 = o. Do 29 and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321*a + 3320 + 4507 = 1407 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.9565m to nanometers.\nAnswer: 63956500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/3)\/(-1 - -2)*66\/(-44). Let w(l) = -l**2 - l - 4. Let m(o) = -1. Let t(r) = 3*m(r) - w(r). Let k be t(0). Sort k, j, 5, 3.\nAnswer: k, j, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r. Give p(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1016693 to the nearest integer?\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6124669045?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3129 - 3122. Solve -x + 19 = 3*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1212941, -1213038, -1213137, -1213238, -1213341, -1213446?\n\"Answer: -n**2 - 94*n - 1212846","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -26. Let d = 26 + b. Suppose 0 = d*w - 186 - 6. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 12*g**2 + 26*g - 12. Does 2 divide b(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + f + (-2 + 2*f + 2)*(5 - 2 - 1) - 2*f - f + 10*f)*(1 - 2 - 1).\nAnswer: -24*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 7*j - 24. Let b be c(7). Let g = b - 23. Let l = 4 + -1. Solve -1 = l*v + g for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w\/(w\/(w\/w**(-1)))*w))**(-2\/5)*w*w\/(w\/(w*w*w**4*w))*w\/w**(3\/2) assuming w is positive.\nAnswer: w**(87\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -6*d + 7*d. Find the third derivative of 3*q**d + 28*q**4 - 8 + 5*q**2 - 115*q**4 wrt q.\nAnswer: -2088*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(30)*1*2)\/sqrt(10) - (sqrt(33)\/(sqrt(33)\/sqrt(3)) - -6*sqrt(3)*-1)) + -4).\nAnswer: -24 + 42*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 17*q = 70. Solve -z - 4*k + 2*k = -3, q = -5*z + k for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 15 = 4*v. Suppose -v*g = -24 - 32. Suppose g*a + 2*o + 894 = 9*a, 0 = -2*a + o + 890. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (3 - (4 + (-9 - -4))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3814?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 0\/(-2) + 1 + 2 and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/(b\/b**(-10\/7)))\/(b*b*b**(1\/30)*b*b*b*b*b*b))**(-44))**(1\/4))**(-28) assuming b is positive.\nAnswer: b**(-43714\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 284841365 rounded to the nearest one million?\nAnswer: 285000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24910?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.21384 * -25\nAnswer: 5.346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in 7, -63, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.1 (c) 1\/68 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1442*o**2 - 348*o**2 - 1302*o**2.\nAnswer: -3092*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ygj when three letters picked without replacement from goeeeyygeojjegejo.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 117 and 1244.\nAnswer: 145548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q - 9. Let r(k) = -k**2 - 11*k + 21. Let g be r(-12). Calculate v(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 9. Suppose -h*g + 0*g - 21 = 3*z, 3*g = 5*z + 16. Sort z, 0, 1 in ascending order.\nAnswer: z, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -23. Let z(u) = u**2 - 5*u - 6. Let r be z(6). Suppose -8 = -4*v - r. Solve 28 = -v*g - g - 4*c, l*g + 2*c + 24 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 + (0 + -8 - (-6 + 8))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 38698393?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s + 82488*s**2 - 2*s - 82519*s**2 + s.\nAnswer: -31*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*o + 7*o - 28 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 16, 0, -16?\n\"Answer: -16*p + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101011101101 (base 2) to base 13.\nAnswer: 1372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 119835?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 347564?\nAnswer: 2, 7, 12413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3 + 116*m**2 + 226*m + 112.\nAnswer: 2*(m + 1)**2*(m + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.032017 months in centuries?\nAnswer: 0.0116933475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53908 divided by 919?\nAnswer: 53908\/919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -206.3+-1012\nAnswer: -1218.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixth of a minute?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - -29. Is 8487\/h + (-1)\/(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 10:22 AM?\nAnswer: 2:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**(11\/3)*t))\/(t**(-3\/13)*t) assuming t is positive.\nAnswer: t**(-212\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 v when two letters picked without replacement from oekooteokezovk?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 1:58 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 270 - 190. Let h be (i\/(-24))\/(2\/3). Which is the smallest value? (a) -1.1 (b) 2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**3 - y**2 - 3*y + 4. Let w be a(4). Is 5 a factor of ((-2)\/8)\/(2\/w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 q when three letters picked without replacement from {c: 1, a: 4, t: 2, q: 1, n: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -91 + 0*k + 1\/2*k**2. Let y(b) = 78*b**2. Determine x(y(q)).\nAnswer: 78*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.9, 1\/4, -0.46, -4.8, 0.1, -1\/7, 0.4?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 73.7 - 61. Let l = p - 13. What is the third smallest value in l, -3, -3\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84597 is divided by 16857?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(3\/10)*b**(14\/5)*b\/b**(-3\/7)*b**(-5)*b**12 assuming b is positive.\nAnswer: b**(807\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3050)\/(-28)*((-8)\/(-552) + 0). Let b = x + -74\/161. What is the common denominator of b and -113\/28?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + o - 2*o**5)*(-65 + 86 - 112).\nAnswer: 182*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**2 - 2*x**3 + x**4 - x**4 - 4*x**4 + 7*x + 0*x**2 as k + p*x**2 + y*x + z*x**4 + q*x**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 148*u - 70*u - 22620. What is the highest common divisor of 464 and u?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -c + 13, -3*b + b - 8 = -2*c for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 15 + 1 + -11 + 2 + 2 - (-95 - -55)\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 51337\/860111 - -3\/6467. Let w = 333\/437 - 26\/23. Let l = w - z. What is the smallest value in 3\/8, 1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/659 and -36\/55.\nAnswer: 36245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12 + 2 - -2)*2. Suppose -2*r - 2*z = -26, 3*z + 25 = 5*r - f. Solve -4*x - r = 4*v, 2*x - 2*v = x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by -96908.\nAnswer: 1\/6922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39944 by -19972.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - t**2 + 4. Let s be m(0). Suppose 3*l = s*l - 51. What is the remainder when l is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2221261*m - 1110570*m - 1110691*m + 5*m**2.\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.08 - 0.08. Let q = c + 5. Let h = -67\/142 + -2\/71. What is the second smallest value in -3\/5, q, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(((k\/((k*k**(-18))\/k))\/k)\/k)*k)\/(((k**(4\/17)\/k)\/k*k)\/k))**(4\/21) assuming k is positive.\nAnswer: k**(-300\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60666*y**2 - 114745*y**2 - 86405*y**2.\nAnswer: -140484*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.227 + -0.173. What is the closest to -17 in -2\/7, r, 0.3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 + -10 + -6 + -7.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 127001518.\nAnswer: 2, 7, 41, 97, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-1) + 10 + -5 + -2. Solve 5*b + 25 = 3*p - 0*b, 2*b = n*p - 19 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001101001111 (base 2) to base 4.\nAnswer: -1031033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1562548.15 and 1.\nAnswer: -1562548.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 42446 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -620606, -1241661, -1862716, -2483771, -3104826, -3725881?\n\"Answer: -621055*o + 449","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -63.62784 to 1 decimal place.\nAnswer: -63.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -8602738\nAnswer: 5\/8602738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4 + 3. Let j = 14 - n. What is the remainder when 150\/14 - (-2)\/j is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 16 - (3 - 3 - 11 - -2)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((-3 + 1 - (45 + -41)) + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2294155 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - 17) + -4 + (2 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 328520 times -57?\nAnswer: -18725640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 159 + -158. What are the prime factors of 3261\/33 + x + (-18)\/(-99)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0013843731 to 6 decimal places.\nAnswer: -0.001384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1230?\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -33, -40, -57, -90, -145?\nAnswer: -228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*w - 112*w - 46*w to i*w + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12203011302 + 2?\nAnswer: 12203011310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71752759?\nAnswer: 13, 19, 290497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, j: 2, h: 1, s: 2}. Give prob of picking 1 s and 1 j.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**2*f**2*q**2*z**2 + 80534*d**2*f*z**3 - 14*d**2*q**2*z**2 - 3*f**2*q**2*z**3 - 45*f**2 - 7*f*q**2*z**2 wrt z.\nAnswer: 483204*d**2*f - 18*f**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 207 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o\/((o*o\/(o\/(o*o**(-4\/3)))*o)\/o*o)))**(-3\/17))**(-4\/9))**(-5\/4) assuming o is positive.\nAnswer: o**(-25\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + (189\/30 - 9). Which is the third biggest value? (a) -2\/23 (b) h (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**3 + 5*w**2 - 5*w**2)*(-4 + 2 + 0) + 2*w**3 + 1 - 1 + (8*w - w - 2*w)*(4*w**2 + w**2 - 3*w**2) + 2*w**3 - 3*w**2 + 3*w**2.\nAnswer: 18*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3543518?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z = 2*z - 4*q + 246, z = -2*q + 48. Suppose 0*k = 3*k + m - 63, 2*k - z = 2*m. Let d(g) = -23 + k + 2*g - 5*g. Calculate d(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/(t*t**(1\/24)*t))\/t**19)\/((t\/(t\/t**(-9)))\/t*t**(-1\/9)*t*t*t))**(-3\/17) assuming t is positive.\nAnswer: t**(931\/408)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 48, 0.4 in ascending order.\nAnswer: 0.4, 4, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 3*z - 36, -z - 4*h + 6*h = -17. Let d be 2\/z + 165\/35. Let w be 56\/40 + (-2)\/d. Which is smaller: -2\/47 or w?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-12))\/(1\/2). Which is bigger: f or -13?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 514115474 to the nearest integer?\nAnswer: 801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8775313.\nAnswer: 29, 302597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/5 - 281*z**2\/5 - 566*z\/5.\nAnswer: z*(z - 283)*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 140 and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d**4 - d + d)*((2 - 6 + 3)*(5 - 1 - 2) + (1 - 2 - 1)*(-2 + 1 + 2) + 0 + 2 - 4 - 917 - 4593 - 4530) to v*d**3 + f*d**2 + m + o*d + r*d**4 and give r.\nAnswer: 10046","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -0.034, 0.7?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 116*m**5 + 32 + 40*m - 44*m - 151*m**5 - 389*m**5 wrt m?\nAnswer: -8480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 60 * -58\nAnswer: -3480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 393 = 14*a + 435 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 145900942 to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 125 + -82. What is the remainder when i is divided by 2\/11 - 326\/(-22)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1473 - 0.135. What is n rounded to 3 dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 132932 by 4.\nAnswer: 33233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/3 - 2*s**3 - 49*s**2\/3 + 98*s.\nAnswer: s*(s - 7)*(s - 6)*(s + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -24\/5 and 1\/62.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 6*z = -81. What is the units digit of (-128)\/(-9) - (-2)\/z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-36 - -16 - -65) + (2 - 7)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 - 75 - (-6 + -1 - -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107903, -215829, -323755, -431681, -539607, -647533?\nAnswer: -755459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 11:41 PM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168970483.\nAnswer: 11, 15360953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -36*b**3 + 2*b**2 - 106*b + 37. What is the remainder when c(-8) is divided by 88?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -158 divided by 923?\nAnswer: -158\/923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 462275\/1385923 + 2\/(-7). Is x not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 2:42 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + sqrt(48) + sqrt(363) + 1))**2.\nAnswer: 240*sqrt(3) + 2716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -12 (c) -2.59099 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28011000 rounded to the nearest one million?\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -3, 0.5, 0.54 in increasing order.\nAnswer: -3, 1\/5, 0.5, 0.54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13.3 + 13. Is 0 at least as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 3 - 1\/3*i**3 - 4*i + 0*i**2. What is the derivative of v(s) wrt s?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5308 + -5304. Let i = -8.5 - -1.5. Sort h, i, -0.1 in increasing order.\nAnswer: i, -0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -2 - (-5 + (-5 - 0))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxtt. Give prob of picking 1 t and 1 x.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h + 7*h - 36*h + 5.\nAnswer: -38*h + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 31\/101, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u + 1. Let p be c(-7). Let q = p - 20. Solve -3*i = 0, 5*i - 8 + 2 = q*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence esq when three letters picked without replacement from {s: 1, x: 1, e: 1, q: 1, j: 1, u: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j**2 - 2*j**2 - 4*j**2 + (2*j + 4*j - 4*j)*(2*j - 3*j + 0*j) + 2*j**2 + 0*j**2 - j**2 as u*j + k*j**2 + d and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 51*a + 2154. Let n(u) = -26*u + 1. What is -h(i) - 2*n(i)?\nAnswer: i - 2156","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(1100)*-1 - sqrt(1100)) + (-1*(sqrt(1100) + 1) + sqrt(1100) - sqrt(1100)) + 1 + -5*(sqrt(88)*-2*-3 - sqrt(88))\/(sqrt(512)*2).\nAnswer: 455*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17491 (base 15) in base 16?\nAnswer: 12616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 566552390 to the nearest integer?\nAnswer: 23802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -1809 + 3731 - 10*o - 1619. Let v be q(30). Let z(y) = -y**2 - y. Let n(d) = 4*d**3 - 3*d**2 - 4*d + 1. Calculate v*z(i) - n(i).\nAnswer: -4*i**3 + i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 5*u + 3. What is b(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (409 - 2) + (237 - 244) is divided by 26?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 + 29. Let w(h) = -3 - 11*h**2 + 3 + 7*h**r. Let y(j) = 11*j. Calculate w(y(l)).\nAnswer: -484*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*o - 6. Suppose -o*z + 12 - 3 = 0. Solve -4*m + 5 = -z for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 102*k*u**5 + k*u - 11937*k - 5*u**5 - 2362*u**2 - u wrt u.\nAnswer: 2040*k*u**3 - 100*u**3 - 4724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 5*y - 3. Let z be -4 + -3 + 4 - 3. Determine h(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 2*m**2 + 196650*m - 196648. Determine r(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 5, z: 3}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)\/(sqrt(9)*2*-6).\nAnswer: -sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 433676, 433664, 433652, 433640, 433628?\n\"Answer: -12*i + 433688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 461015?\nAnswer: 5, 92203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/99 - ((-5394)\/341 - -16). What is the fourth biggest value in 1\/3, -0.4, -5\/2, 3\/2, a?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20427, -20202, -19827, -19302, -18627, -17802?\nAnswer: -16827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -268, -1053, -2362, -4195, -6552?\nAnswer: -9433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*l + 7*l + 10*l)*(263*l - 46 + 261*l - 523*l) - 2 - 2*l**2 + 0*l**2 + 1.\nAnswer: 8*l**2 - 460*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 + 67. Let z be ((-7)\/(p\/50))\/(-2)*3. Put 3, z, -7 in descending order.\nAnswer: z, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68886966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101200112 + 110102221?\nAnswer: 212010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + q**2 + q + 1. Let r(m) = m**3 - 3*m**2 - 2*m - 3. Calculate -3*j(i) - r(i).\nAnswer: 2*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1243137310 by 94.\nAnswer: 13224865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 35660.\nAnswer: -142640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.5, -5, 0.985?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + (-17 - 7) + 3 - (-2 - -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 670292837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zndfnzz. Give prob of picking 2 d and 2 n.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 17053528 to the power of 1\/2, to the nearest integer?\nAnswer: 4130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 348508*f**3 - 697090*f**3 + 348579*f**3.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence orgo when four letters picked without replacement from rogoogg.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qib when three letters picked without replacement from vvvwwvfvqffwvib.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q. Let a(z) = -20*z**2 - 19*z**2 + 20*z**2. Give a(o(r)).\nAnswer: -304*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -34 + 56. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -3659*k - 14699. Give h(-5).\nAnswer: 3596","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*v**2 + 4 - 5 + 80*v**2 - 40023*v**3.\nAnswer: -40023*v**3 + v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r + 2. Let i be u(-2). Let w(k) = -k**3 + k + 17. Let h be w(i). Let a = 32 - h. What is the remainder when 43 is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -5\/6, -86846, 3, 1.\nAnswer: -86846, -5\/6, 1, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i\/i**0)**(5\/3)*(i*i*(i**0*i)\/i*i)**(-1\/50) assuming i is positive.\nAnswer: i**(247\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 627214673.\nAnswer: 6163, 101771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 2*m + 12. Suppose -21 - 47 = -m*s. List the prime factors of s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.142 (b) 0.3 (c) 7754\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 3*j**3\/7 - 22156230*j**2\/7 + 40908188494836*j\/7 + 81816465614616\/7 = 0.\nAnswer: -2, 3692706","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 823007568 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 971 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: Solve -13952 = -919*k + 1121*k + 2814 for k.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55 and 5049?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wpst when four letters picked without replacement from {w: 2, s: 1, p: 2, f: 1, t: 1, r: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(228) - -6*3*sqrt(228)) + -2*(sqrt(228)*-1 + sqrt(228)))\/(-6*(-2*sqrt(144))\/sqrt(3)))**2.\nAnswer: 6859\/576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 13) + 8 + 4 + 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*w = -317*w - 1494*w + 24167 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 t when two letters picked without replacement from kjmjjktjkmtjmjmjkjjj.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 627355043 - 5.7\nAnswer: 627355037.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 25*l - 27*l + 1356, w = -l + 690. Calculate the least common multiple of l and 1368.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of 5*v**4\/24 - 2*v**2. Let s(w) = -41*w + 62*w - 13*w. Determine r(s(a)).\nAnswer: 40*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) + -3)*-1*6)**2.\nAnswer: -864*sqrt(11) + 6660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -1\/27, -2, -18\/5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -11384017017839+4\nAnswer: -11384017017835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + -1 - (-8)\/14. What is the nearest to 1\/3 in 2\/3, -2, z?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -219 + 135. Let f = d - -91. Solve -2*n - 25 = -f*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/4)\/((-6)\/(-32)). Let w(c) = c + 5. Let i be w(-5). Suppose 5*j - x*j + 879 = i. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -4 (b) 1\/2 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**5 - 3*i**5 + 0*i**5 + (-4*i**4 + 2*i**4 + 3*i**4)*(-i + 3 - 3) + (-4*i + 2*i + 4*i)*(3*i**4 - 8*i**4 - 4*i**4).\nAnswer: -21*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 100 and 11292?\nAnswer: 282300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-1)*43560\/(-21175))\/(5\/((-560)\/12)).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z + 30531070 - z + z - 30531070 - 35*z**3.\nAnswer: -35*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 685 + 73*r - 685 in the form j + m*r and give m.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 1820645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4, -9, -28, -53?\n\"Answer: -3*s**2 - 4*s + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -10847, -4687, 5579, 19951, 38429, 61013, 87703?\n\"Answer: 2053*w**2 + w - 12901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ptpj when four letters picked without replacement from {p: 4, e: 3, j: 2, t: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 55*r**2. Let h(z) = -4*z - 1. Let d(v) = -7*v**2 - 20*v - 5. Let s(t) = 2*d(t) - 10*h(t). Calculate w(s(g)).\nAnswer: 10780*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -2\/17 (c) -0.2 (d) -1\/382 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.7 times 4?\nAnswer: -42.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -4, -5*c - 2*b - 3*b + 730 = 0. What is the smallest common multiple of 168 and c?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 481 and 4255.\nAnswer: 55315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of 11*m**4\/24 - 5*m**3\/3 + 13*m**2\/2 - 10. Let b(z) be the second derivative of w(z). What is the derivative of b(i) wrt i?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and -277.7337411?\nAnswer: 278.2337411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 - 58 = -m + x, 300 = 2*m + 4*x. What is the greatest common divisor of 104 and m?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 60.365 and -279.\nAnswer: -16841.835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 783506 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 42589 a multiple of 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1252, 4983, 11192, 19873, 31020, 44627, 60688?\nAnswer: 79197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 take away 6736994819903?\nAnswer: -6736994819902.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 6) to base 12.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5288?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**3\/4 - 21*y**2\/2 - 38*y = 0. Calculate y.\nAnswer: -38, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -352544 = -35*m + 31*m. Let d = m + -233136. What is d rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -5. Let o be (0 - (2 + -21)\/1) + 2. Suppose -m + f = -4, 3*f + 8 = -2*m + o. Solve -w*q + 4*q = -m for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -112.8222 - -112.9. Round y to 3 decimal places.\nAnswer: 0.078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i + 12. Suppose -d - u + 9 = 0, -72 = -5*d - 3*u + 7*u. Let x be w(d). Suppose -2*n - 4*r = -3*n + 22, -4*n - r + 37 = x. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*3\/63)\/((-7)\/14)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 27 and 2029347.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 3*k**2 + 3*k - 1. Let a be d(3). Let g(y) = -6*y + 67 + 4*y - 47. Calculate the smallest common multiple of g(a) and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3292385 nanograms to micrograms.\nAnswer: 0.0003292385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of 20*w**7\/21 + 22*w**6\/15 - 21*w**5\/5 - 4*w**4\/3 + 8*w**3\/3 - 12*w. Let o(i) = 0. What is i?\nAnswer: -2, -1\/2, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -365 or -355?\nAnswer: -355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 185377 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 558 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*t + 869 + 41 = 104*t - 55*t for t.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -22 and -4424 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 + 0*w - w**4 + 2*w**2 + 0*w - 16*w**3 + 8*w**3 + 9*w**3 in the form y*w + a + u*w**3 + r*w**4 + i*w**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56264493.\nAnswer: 3, 18754831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 22 - 1 = 0. Let r(q) = 185*q - 36. Is r(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000012553723 rounded to 5 decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of -o**5\/20 - 7*o**4\/12 + 7*o**3\/6 + 11*o**2\/2 + 41*o + 108. Let g(q) be the first derivative of a(q). Determine g(-8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 51*m**2 - 28*m - 113. List the prime factors of f(-4).\nAnswer: 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(1\/(-1)) - 2. Suppose o = 4*r - 5*d - 3, 3*r + 2*d - 10 = -r. Let m = r + -3. Which is the nearest to 1? (a) 0.1 (b) m (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1879 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 77920 by 5.\nAnswer: 15584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/63)\/(1\/7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1090 (base 12) to base 13\nAnswer: -ab3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 - 56 + 95 = 14*f. Solve 0 = f*s - h + 30 - 4, -5*s - 2*h - 23 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*x = -x - 6, 0 = -5*v - 5*x + 20. Let b be (-783)\/290 - (-1 + v). Which is greater: -2 or b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vm when two letters picked without replacement from ymguvii?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0)**(3\/10)*t**(-3\/5)\/t**2 assuming t is positive.\nAnswer: t**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 3258.\nAnswer: 1\/543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 102 + (-4 + (-7 - -12) - -14 - -7).\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 1:41 PM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 60*30\/(-240)*1\/(10\/(-8))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -5*p**2 - 6846095*p + 6846100 = 0.\nAnswer: -1369220, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 117001.1300023 - 117001. Let q = 0.13 - k. What is q rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 2:42 PM?\nAnswer: 12:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1955 divide 25801773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*i*n**2*w + 6*i*w**2 - n**2*w**3 + 97*n**2*w - 7*n**2 + n*w**3 - 4992*w**3 - 3*w**2 wrt n.\nAnswer: -26*i*w - 2*w**3 + 194*w - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5383 + -5380. Suppose 9\/2*p**3 + 3\/2*p**4 - 9\/2*p - z + 3\/2*p**2 = 0. What is p?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -17*w**5\/10 - w**4\/12 - 1180*w**3\/3 - 1237*w. What is the second derivative of x(m) wrt m?\nAnswer: -204*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 g when three letters picked without replacement from {x: 2, l: 5, g: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -12557 and 0.0428 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 291027 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: Divide 97785 by -159.\nAnswer: -615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24000 and 114126000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (289\/44 - 24\/32) + -6. Which is the smallest value? (a) -0.1 (b) 3\/5 (c) g (d) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1134 and 378.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**3 - 111*j**2 - 52*j - 213. Suppose k = -4*s + 24, -s = 3*s + 3*k - 24. Suppose c - s = -c. Calculate the remainder when g(56) is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91678.\nAnswer: 2, 23, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 22?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -270*w**2. Let m(l) = -19*l + 15*l + l + 2*l. What is m(d(c))?\nAnswer: 270*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 + 19168*d - 19164.\nAnswer: -4*(d - 4791)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - (21 + -46) - 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 282407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -1. Let b = 214 + -211. List the prime factors of (b + -41 - -2)*l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26193*y + 453762 - 453762 in the form j + k*y and give k.\nAnswer: 26193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 48 + 32 + 8 - 52\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, c: 3, b: 2, d: 1}. Give prob of picking 4 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -381878 = 5*j - 10*y - 382378, -j + 49 = -y for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.889187g in micrograms?\nAnswer: 4889187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/(-2)*4)\/5. Let q = -49\/3 - -83\/6. Sort -1, q, t.\nAnswer: q, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 4*2*((-2*sqrt(128) - sqrt(128))*-4 + sqrt(128))*3)**2 + 2.\nAnswer: 19968*sqrt(2) + 12460050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qhqbmbumzquz. Give prob of picking 1 m, 1 q, and 1 h.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 78367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) 0.06 (b) 4 (c) -2 (d) 1 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -13234276 (base 9) to base 7\nAnswer: -106255362","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11.9 + -1.9. Let q = c + -10.0072. Round q to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of 224*t**4\/3 + 277*t**2\/2 + 263*t + 3. What is the first derivative of v(h) wrt h?\nAnswer: 1792*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 79*v**4 - 37*v**4 - 25 - v - 43*v**4 to x + i*v + l*v**4 + y*v**2 + h*v**3 and give x.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2470181 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/((-70)\/(-18)) - (-9831)\/(-3045).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.31 in 0.5, 12, -55.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -39 - (-21 - -14) - (0 - 4).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 36\/(15\/6 - 1)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -1133*l - 45. Let s(y) = -2265*y - 110. Determine -5*d(n) + 2*s(n).\nAnswer: 1135*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, n: 1, q: 2, v: 1}. Give prob of sequence vll.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1420 - 1414. Solve 21 = -4*a + g, -a + g - 3 = u for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5346513 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.25 + 3.25. Let q = r + -3.5. Let t = 2.2 + -2. Which is greater: q or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 - 22. What is the greatest common divisor of 36 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 2:21 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-174)\/(-261)*(-33)\/4070.\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/5*f**3 + 0*f + 12\/5*f**2 - 4\/5*f**4 + 0.\nAnswer: -4*f**2*(f - 3)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 383011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3517 + 9849. Suppose 12385 = 3*l - g. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36028 divided by 41.\nAnswer: -36028\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1057 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8203761, 8203766, 8203771, 8203776, 8203781?\nAnswer: 8203786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2 = 5, -2*j + 318 = -2*s. Is 23 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((10\/(-22))\/((-41724)\/3762))\/(10\/8)?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 2*c**2 - c. Let k be b(-2). Suppose k*j = -j + 42. Let g(p) = p**2 + 4*p - 4. Let y be g(4). What is the greatest common divisor of j and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -397, -342, -283, -220, -153, -82?\n\"Answer: 2*w**2 + 49*w - 448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 14\/644487?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Express 11*b - 21*b - 7*b - 2*b as d + m*b and give m.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -85586 + 141522. Suppose p = 13*c - 287264. What is c rounded to the nearest 1000?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 4 = -32. Find the common denominator of (-9)\/p*(-60)\/(-450) and -7\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j - 2 = -15*j. What is the second derivative of -23*v**2 - j*v + 13*v**2 - v - 8*v wrt v?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 133024.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 0 + 0*t + 2*t - t**2 + 3 + 0. Suppose 0 = -3*h + 4*r - 0*r - 14, 5*h + 2 = -4*r. Let y(j) = 4*j**2 - 7*j - 10. Give h*y(n) - 7*s(n).\nAnswer: -n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1168 (base 12) to base 6.\nAnswer: -13012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, s: 2, z: 1, c: 3, q: 1, r: 1}. What is prob of picking 1 p and 1 r?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cccpccccccccccpcccc. What is prob of picking 4 c?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4014213 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, -5, 2, 2132 in decreasing order.\nAnswer: 2132, 2, -1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9.96 - -0.04. Let i = 10.16 - b. Let m = 0.159972 - i. What is m rounded to 5 dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2. Let o(f) = -31416*f**2. Determine w(o(c)).\nAnswer: 1973930112*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 567880 (base 13) to base 8\nAnswer: 7631372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 - 31. What is the third derivative of -t*l**2 + 2*l**3 - 9*l**2 + 0*l**2 + l**2 wrt l?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + 2\/4)*-8. Which is greater: y or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/2*(-140)\/80\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 43, 6, -69, -194, -381?\nAnswer: -642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2874*f**3 + 2864*f**3 + 2*f**2 - 2*f**2.\nAnswer: -10*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -755 + 1502. Let y = c + -768. What is the second smallest value in y, 2\/13, 1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/10 + 2116\/(-115). Does 17 divide 2672\/((-12)\/(h\/3)) + -2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4815839*p + 5*x + 14 = -4815837*p, 0 = -p + x + 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -1\/8*v**4 - 1\/6*v**3 + 0 + 7\/60*v**5 - 3*v**2 + 0*v. Is x(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*o + 8*o. Suppose 4*a - 2 = -o*a - 2*i, -3*a = i + 1. Put 1, a, -1, -15 in increasing order.\nAnswer: -15, a, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.548 * -0.4.\nAnswer: -5.4192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2821775.\nAnswer: 5, 11, 31, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28000482 a multiple of 743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -9, -11, -4, -53, 0.07?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 84669?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xdydydy. Give prob of picking 1 d and 1 y.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*q - 843 = 65*q + 801 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 254 - 422. Let k be (-3)\/18 + (-7)\/m. What is the smallest value in k, -5, 0.4, 2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*(4\/70)\/2. Is -0.2 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 1 - 1)*(11 - 62 - 18)*(-2*t - 3 + 3).\nAnswer: 138*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i - 24. What is k(-17)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1850?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 40*a - 87. What is the smallest common multiple of j(-35) and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9758.\nAnswer: 2, 7, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*c + c + c)*(2 + 0 + 0) + 0*c - 2*c + 6*c)*(-5 + 4 + 5)*(19*c - 287 + 287) in the form p*c**2 + y*c + s and give p.\nAnswer: 608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 234474 to the power of 1\/2, to the nearest integer?\nAnswer: 484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.12 + 0.12. Let j = -11390254.9999984 + 11390247. Let k = j - v. What is k rounded to 7 dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than -47\/300531?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -88 + 7*s**2 + 30 + 45 - 8*s. Let c be a(-15). Let o = 33561\/20 - c. Calculate the common denominator of o and 57\/62.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*d + 2988 + 137, -3*k + 3*d = -9450. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q - 620 = -26*q. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1728 and 12864?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = r - p, 0 = 4*r + 3*p - 3 - 6. Let i = 164 - 127. Let j(t) = t**3 - 37*t**2 + 5. Let b be j(i). Solve r = -c - 4*c - 20, 17 = -b*h - 3*c for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6 - (0 - 1 - -4). Suppose -5*h + 18 = -l*h. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ol when two letters picked without replacement from {h: 3, l: 5, o: 1}.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4.7, -5\/2, 0.2, -16, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*m - 7*w = -81*m + 39*m - 212, 5*m + 209 = 4*w for m.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38131259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 247\/(-35) - 22*(-638)\/(-97405)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135284 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((56\/2)\/4)\/1. What is the greatest common factor of 63 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 6:58 AM?\nAnswer: 7:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*s - b - 16, 5*b + 20 = 218*s - 214*s for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}