diff --git "a/data/dm_maths/full_data_1/10052_11255.jsonl" "b/data/dm_maths/full_data_1/10052_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10052_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Collect the terms in -46 + 22 + 24 + 386*t.\nAnswer: 386*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 3\/12144122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 - 2*v**3 + (4*v**2 - 2*v**2 + 0*v**2)*(1721*v - 585*v - 652*v) in the form j*v + a*v**2 + b + q*v**3 and give q.\nAnswer: 966","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13230 + -3?\nAnswer: 13223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o*o**(1\/3)*o))\/o*o)**(1\/6)*o**(3\/5)\/(o**(-2\/3)\/o)*(((o*o**(-9\/4)*o)\/o)\/(o**2\/o))**(-3\/5) assuming o is positive.\nAnswer: o**(641\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54 - 51. Suppose 7 = -5*r - 3*u - 36, 0 = -4*r - n*u - 32. Put 2, r, 3, -1 in increasing order.\nAnswer: r, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 12:09 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18 - 3771.262.\nAnswer: -3753.262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1355109, 2710192, 4065275, 5420358, 6775441, 8130524?\n\"Answer: 1355083*t + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -979813 = -11*k - 173436. Suppose -14636 - 34222 = -2*z + 4*g, 0 = -3*z - 4*g + k. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.9 + -2. Let z be 13\/(-26)*(4 - 2 - 16). Suppose -6*a = -7 + z. Sort a, 10, o, 3 in descending order.\nAnswer: 10, 3, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 3:02 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/7 or -3.26?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v and 1 d when four letters picked without replacement from {d: 3, y: 2, v: 3, j: 9}.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*25*(-21)\/(-3150)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/2334816 and -83\/15565440.\nAnswer: 46696320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 - 495*i**2 + 1002*i.\nAnswer: -3*i*(i - 2)*(i + 167)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h**3 - 941*h**2 - 12064*h = 0.\nAnswer: -928, -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 145911596 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*w + 537262 = -229385 - 376778. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 4 + 13*r - r + 6*r - 16*r. Let d be p(1). Let w(k) = -k + 3. What is w(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29408\/(-36760)*(-10)\/(-4)*2*(-3)\/14.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 353, 220, 75, -88, -275, -492, -745, -1040?\nAnswer: -1383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38 + -2 + (18 - 15) - 14) + 7.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of 0*s**3 + 1\/10*s**5 - 2\/3*s**4 + 0*s**2 - 56*s + 0. Determine g so that o(g) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*h - 143 = -0, 4*g - 158 = 2*h. Solve 0 = -5*d - 3*r - 3 + g, 4*d + r = 25 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 + 35 = -13*g. Let s(p) = p**2 - 5*p + 19. Let x(t) = -t**2 + 7*t - 28. What is g*s(d) + 5*x(d)?\nAnswer: 2*d**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2657.12 and 0.1.\nAnswer: -265.712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 25 = 0, -4*g = 5*u + 1971 - 5312. Calculate the remainder when g is divided by 83.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (11 + -11)\/((-2)\/(-1)). Let d = -7 + 9. Solve s = -5*i - 5*j + j + d, 2 = -j for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - t - 49, -3*t - 12 = 2*p + 30. Let l be -1*2 - (-5)\/(p\/(-129)). Find s such that 4*s**3 - 41 + l = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 6*p + 52. Let m be (0 + p)*1\/(36\/(-9)). Let u = -5 - -6. Which is the third smallest value? (a) m (b) 5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2439036 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 387 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 147646.2444 rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 510050661 to the nearest integer?\nAnswer: 799","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 29*k**2 - 26*k + 49. What are the prime factors of w(7)?\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 6*b**2 + 7*b + 3. Suppose -5*i = -i. Suppose -2*n = i, 4*p + n - 3*n - 28 = 0. What is q(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 502, 581, 582, 463, 182, -303, -1034, -2053?\nAnswer: -3402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-20) + 0)*-2. Let n = -2 + 2.4. What is the smallest value in n, i, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of j**6\/2 + j**5\/5 + j**3\/3 + 9*j**2\/2 - 30. Find the third derivative of n(a) wrt a.\nAnswer: 180*a**2 + 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 315482294*d + 3*d**2 + 315482298*d - 630964592*d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + -3 + (-2 - 0). What is the nearest to -0.1 in r, -2\/7, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - -1 - (0 + 2 - 8338). Let t = -166787\/20 + f. Let w = -5612 - -78531\/14. What is the common denominator of t and w?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b. Let j(v) = v**3 - 11*v**2 - 18*v + 12. Let k be j(12). Let c be (-8)\/k*-3*-5. Let a(y) = 6*y**c + y**2 + 3*y**2 + 0*y**2. Calculate d(a(p)).\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101001011001 (base 2) in base 6?\nAnswer: 122105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 241 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - (sqrt(77) - -2*sqrt(77))*-4)\/(sqrt(891) - sqrt(891)*-3).\nAnswer: 13*sqrt(7)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 - -6 - 1\/1. Suppose 0*g - 2*g + 14800000 = k. Round g to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than 1035568239?\nAnswer: 1035568237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 309\/5 - 2441\/45. Calculate the common denominator of f and 4\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 9*y + 10*y = -25, 0 = o - 5*y - 30. Solve -h + p - o*p + 17 = 0, 0 = -5*h - 3*p for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 c when two letters picked without replacement from {b: 1, i: 1, c: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 6*n**2 - n - 1. Let m(r) be the third derivative of r**5\/60 - r**4\/24 + r**3\/6 - 36*r**2. Give k(s) - m(s).\nAnswer: 5*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20701514 to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2616, 2635, 2672, 2733, 2824, 2951, 3120?\n\"Answer: p**3 + 3*p**2 + 3*p + 2609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 12 - (4540 - 4591).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 612523972?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.094 and -19.\nAnswer: 1.786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 766836 and 11124?\nAnswer: 236952324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + c + g + 92, -4*c - 4*g = -112. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2873 (base 13) to base 15\nAnswer: -1ae5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 438*s - 9498 - 4956 = 0 for s.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 + 47. Differentiate -46 - 13*r**3 - 15*r**c + 3*r + 2*r**3 + 15*r**2 with respect to r.\nAnswer: -33*r**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -4 + 2 - -2 - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -3, 4662\/17, -2\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z + 11 + 0*z - 12 - 3 to y*z + f and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 246 = -0*a - 5*i, 4*i = -2*a + 166. Suppose 325 - a = 4*l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507957997 to the power of 1\/2, to the nearest integer?\nAnswer: 22538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -29, -64, -123, -212, -337, -504, -719?\nAnswer: -988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 4 + (-7 - (-6 + -17)) + 4 + -144?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1502 - 1.1502. Let f be 0 - 1 - (-1 + -3). Which is the closest to k? (a) -3 (b) -1\/4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40 + 39. What is the closest to 0 in 2\/3, -13, a?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, 1512639, 2 in decreasing order.\nAnswer: 1512639, 2, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 103 and 700091?\nAnswer: 700091","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -11 + 6. Let v(c) be the first derivative of -3\/2*c**2 + 3\/4*c**4 + 7 + 3\/5*c**i + 0*c - c**3. Factor v(d).\nAnswer: 3*d*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2 - 5*i - 13. Let w be b(-7). Let h = 87 + w. Let x(f) = f**3 + 5*f**2 + 2*f - 3. Calculate the smallest common multiple of x(-3) and h.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -30, -65, -114, -177, -254?\nAnswer: -345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zax when three letters picked without replacement from {x: 2, z: 3, f: 5, q: 1, a: 3, d: 6}.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 6*v - 2 = -v, 3*d - 5*v = 22 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 413556\/(-182196) + (((-36)\/(-42))\/2)\/((-1)\/(-4))?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 26775 = -26649. What is the nearest to 100 in c, 2, 1\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 9*c = -7*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 10:17 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-45)*(15 + -6 + -11).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g**3 + 0*g**3 - 8*g**3 + 15*g**3.\nAnswer: 13*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**3 - 6*a**2 - 3*a - 6. Suppose 5*n + t - 29 = 0, -n + t + 3 = 4*t. Let h(d) = 3*d**3 - 7*d**2 - 3*d - 7. Let m(q) = n*h(q) - 7*w(q). Factor m(g).\nAnswer: -3*g*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.1 + 9.1. What is the second smallest value in x, 1, -1\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -5*g + 6. Let f(d) = 6*d - 7. What is 6*f(r) + 7*n(r)?\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.106*434\nAnswer: -46.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4059875*i**4 + 5146203*i**2 wrt i?\nAnswer: 97437000*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 3*d = -o - 11, -d + 3 = 0. Let n = 1 - 1.8. Let k = n + -2.2. What is the smallest value in o, -1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3529 is divided by 176?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -33 or -197\/6?\nAnswer: -197\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.9 + -1.1. Which is the smallest value? (a) -3 (b) y (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17792 and 0.2.\nAnswer: 3558.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 2, -0.3, 1\/2, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 247170 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 + 630.29427?\nAnswer: 630.41427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9578 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8081.116um in millimeters?\nAnswer: 8.081116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -m**6\/6 + m**3\/2 - 2363*m**2\/2 - 2554*m. What is the first derivative of h(j) wrt j?\nAnswer: -20*j**3 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -120? (a) -1 (b) -1.28 (c) -10 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4*c - 2. Let z(n) = n**2 - 18*n - 9. Let l(p) = -9*m(p) + 2*z(p). Let r(v) = -2*v + 4. What is r(l(u))?\nAnswer: -4*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4530080 (base 10) to base 15.\nAnswer: 5e73a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109241 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.1, -4\/7, 35?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -9, -14, -1\/4, 5, 2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 403 + 2138 = -5*a, w = -2*a - 694. Let f(k) = -k**3 - 25*k**2 - 15*k + 32. Let p be f(-24). Let h = p - a. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-6)*72\/152. Let o(u) = u**3 - 8*u**2 + 7*u - 3. Let s be o(5). Let q = 43 + s. Which is smaller: x or q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) - sqrt(2816))*-1 - -6*sqrt(176))\/((sqrt(4) + (sqrt(196) + sqrt(196)*-1 - sqrt(196)) - sqrt(20)\/sqrt(5)*-5)*6).\nAnswer: -19*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + 6*r**2 + 4*r + 2. Let a be j(-5). Let p(d) = 10*d**3 + 2*d - a*d**3 + 0 - 1 + 4*d**3. Calculate p(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-4)\/(-10)*-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -194 + 224. What is the second derivative of -14*l + 6*l**3 + 0*l - t*l wrt l?\nAnswer: 36*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16036296 divided by 12?\nAnswer: -1336358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 44 = 2*n + 2*n, 0 = 3*y + 9. Let a be (-9)\/(-9) - (-4)\/2. Suppose 0 = -a*i - 9 + 24. Solve -i*t - 11 - n = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*r + 14793 = 15773 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 607385 divided by -5\nAnswer: -121477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, 3, 2\/7, -0.05?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4693 (base 13) to base 2\nAnswer: 10011011000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0*(24\/108)\/((-4)\/(-6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 530067469?\nAnswer: 53, 71, 140863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65 + 175 - 113) + 134.\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1145*p**3 + p**2 - p**2 + 0*p**2.\nAnswer: -1145*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -344 - -432. Calculate the greatest common factor of p and 220.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -3\/2, 7, 2\/11, -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 34 = -2. Let j(g) be the second derivative of -g**3\/3 + 14*g**2 - 152905*g. Give j(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 31347 + 7858 + 51105. What are the prime factors of n?\nAnswer: 2, 11, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2663, 10209, 22781, 40379, 63003?\nAnswer: 90653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 45 in -2.2, -1.05, 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/3 - z**2 + 4*z\/3.\nAnswer: -z*(z - 1)*(z + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-203) - (-156 + 287)\/(-917)\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16558 + -16545. What is the remainder when -21*((-30)\/7 - 0) is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(54\/(-5)))\/(-34 - 3007\/(-93))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*r = -149*r + 420. What is the lowest common multiple of (-118)\/(-8) - 1\/(-4) and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -182*i - 106. Let r be q(-1). What is the highest common divisor of 114 and r?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -197.939 to the nearest integer.\nAnswer: -198","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.1 + 1.4. Let p be -1 - (-1 + 2*1). Let a be 7\/(-3) + 2 + 1. What is the biggest value in l, p, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 475*t = 687 - 5564 + 127 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 1134?\nAnswer: 1138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*sqrt(3630))\/((2*sqrt(100) + sqrt(100))\/sqrt(10)).\nAnswer: -22*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 1304 = t, -2*t - 781 = -3*i - 0*i. Let r = i + -390. Let h be (-1)\/(-8)*-2 - r\/(-12). Which is smaller: h or -6?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 0 + 4, o = -b + 253. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253096.\nAnswer: 2, 17, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3402.1 rounded to the nearest 100?\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*r**6 + 193*r**5 + 419*r**3 + 2*r**2 + 2*r + 23.\nAnswer: 240*r**3 + 11580*r**2 + 2514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/4)\/((-12)\/(-24))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-28) + 12\/140 + 1. Solve x*z - 2\/5 - 2\/5*z**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**(-1\/3))*c)**46\/(c**(1\/6)\/(c\/c**5))*(c*c**(-8)*c*c**(-4))**(5\/9) assuming c is positive.\nAnswer: c**(377\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*w - 87*w = -20*w + 290 for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxp when three letters picked without replacement from {v: 1, p: 12, x: 5}?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*t - 298*t - 293*t + 4*t**3 - 2*t**3 - 292*t + 893*t.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - -2 - -1163) + 4. Suppose 3*i - m = l + 3*l, 0 = 2*i - 2*l - 782. Suppose y + 6 = -i. Round y to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/189037 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152)*1 - sqrt(152))*1)\/(-2*sqrt(72) + sqrt(72) - sqrt(72)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s + 5*r + 20, -3*s - 13 = 4*r + 6. Let m = 42 + -45. Is 1\/m + ((-155)\/3)\/s a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/19420 and -50\/2227?\nAnswer: 43248340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 2*i + 9*i**2)*(-2*i**3 + 5*i**3 - 2*i**3) - 2*i**3 - i**5 + 2*i**3.\nAnswer: 8*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-1)*(-18)\/18)\/((-12)\/12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.129476958 to 2 decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 - 14. Solve 2*y + 5*n + l + 7 = 0, 10 = -3*y - 4*n for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 + 23d792?\nAnswer: 23d798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2, -5\/22, -3\/6314, -2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 + 4 - 4)*(-6 - 12 + 21) + 4*w**2 - 5*w**2 + 2*w**2 + 2*w + 2*w**2 + 0 + 0.\nAnswer: 12*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f + 2. Let t(d) = -3*d**2 + 19*d - 6. Let m(y) = -y**2 - y - 1. Let p(a) = 4*m(a) - t(a). Let n be p(-23). Give j(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (-33 - (-23 + -23)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppyyypmpp. Give prob of sequence mp.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n**2. Let h = 0 - 1. Let r be -1 - (2 + -1)*h. Let j(x) = -x - x + r*x. Give j(v(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*r - 7*r. Suppose -r*o - 5*f = -4400, -4*o + f = 2*f - 8782. Suppose -5*s + 10*s = o. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(108\/8 + 0). Let w = -4019 + 4019. Solve 3*n = -2*b + 10 + 3, 5*n - 2*b - c = w for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 32 = -3*f, 184*f + 2*u = 182*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 3*d**6\/8 - 39*d**5\/10 - 135*d**4\/16 + 12*d**3 + 15*d**2\/2 - 14487. What is f in t(f) = 0?\nAnswer: -2, -1\/3, 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 70 = 5*y, 5*z + 2*y = -0*z + 73. Suppose -21*p = -95*p + 1036. Let n(h) = p + 0*h - h - z. Determine n(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, 6, -6, 52, 5 in decreasing order.\nAnswer: 52, 6, 5, 4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1))**19*(f**0)**(3\/41))\/(f*f*f*f**1\/f*f**5*(f*f\/((f**(-3)\/f)\/f))\/(f**(-4\/5)*f)) assuming f is positive.\nAnswer: f**(-169\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8179.68 years in millennia?\nAnswer: 8.17968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -226760 (base 8) in base 16?\nAnswer: -12df0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 17*t - 6. Let l be o(15). Let g = l - 6. What is the highest common factor of g and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 0.2 (c) 0.08 (d) -1\/6 (e) 46 (f) 0.99\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of n**3 + 2*n**2 - n + 6. Is y(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x**3 + 2*x**2 - 2*x + 3. Let w(l) = 5*l**3 + 2*l**2 - 2*l + 4. Suppose 0 = -a - u + 1, 1120*a + u = 1116*a - 8. Give a*w(t) + 4*o(t).\nAnswer: t**3 + 2*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 9 + 5 + -5 + -4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5711, -5691, -5637, -5531, -5355, -5091, -4721?\n\"Answer: 3*r**3 - r**2 + 2*r - 5715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 32, 14, 3, 2, -30 in ascending order.\nAnswer: -30, 1, 2, 3, 14, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 4251.06968 to the nearest one hundred.\nAnswer: 4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 51571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -4*s - 66 - 1, 0*s - 4*s - 55 = p for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 5*z**2 - 413590*z + 8552834405 = 0.\nAnswer: 41359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*-18320677.\nAnswer: -403054894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 n when three letters picked without replacement from {n: 4, p: 7, w: 1, e: 1}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*d**4 + 36153*d**3 - 1818900*d**2 + 22783125*d = 0. What is d?\nAnswer: -12151\/2, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9\/(-6))\/((-3)\/(-9 + 3)). Let u = -11 + 6. What is the nearest to 0 in u, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1623 - 1622.91. Let h = -315\/8 - -39. Put h, t, -0.4 in decreasing order.\nAnswer: t, h, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27022267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 2*v - 12. Suppose -h = 3*t - 1, -h - 4*t - t = 1. Solve v = h*d - d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 + 7*a + 1. Let z be p(6). Let g = -193 + 108. Let q = g + 134. Calculate the highest common factor of z and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0103 + 318.0103. Let g = 310 - d. Which is the nearest to g? (a) -0.3 (b) 4 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h + 6. Let l(d) = 3*d - 7. Give 5*l(c) + 6*r(c).\nAnswer: -3*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 + 2 - 2)*(-3*m**2 + 3*m**2 + m**2) + 2 - m**2 - 2.\nAnswer: 13*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 3*y + 1. Let n be d(4). Suppose -n*w + 8 = -2. Let a(q) = 166*q - 166*q + 5*q**w. Let s(b) = 2*b. Calculate s(a(z)).\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-4*(-1 + sqrt(112)) + (0 + sqrt(112))*-2)**2 + (-1*sqrt(112)*1)**2 + (3 + sqrt(112) + 3)**2)*-4.\nAnswer: -17252 + 576*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7018, -7024, -7030, -7036, -7042?\nAnswer: -7048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12121, 10796, 9473, 8152, 6833, 5516, 4201?\nAnswer: 2888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 903*i + 156542. Calculate s(-234).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 4 - 34. Let b = 6 + j. Which is smaller: -2 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 28.119um?\nAnswer: 28119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 8 = 176. Let k = j - -26. Calculate the remainder when k is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2647.\nAnswer: 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 8*q**3 - 2*q**2 - 2*q + 2. Calculate n(2).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-14\/9)*r)\/((r*r*r*r*r\/r**(2\/7))\/r))\/(r\/(r*r**(2\/3)*r))**(-28) assuming r is positive.\nAnswer: r**(-3209\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37*b**4 - 4004*b**3 + 1317.\nAnswer: -148*b**3 - 12012*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 123687 - 33395533\/270. Calculate the common denominator of g and -1\/6.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 10:22 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4466759256 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 - 1c97498?\nAnswer: -1c974a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5*n + 2 + 13 = 0, 0 = -5*v + n + 29. Let h = 0 - -3. Suppose 17 = -2*z - 0*s + 3*s, -5*z = -h*s + 20. Sort z, v, -2 in descending order.\nAnswer: v, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -4. Let v = n - -8. Solve v*w - 4*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1505630 to the nearest 10000.\nAnswer: 1510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39059 is divided by 19508?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.07, -3\/5, -5, -3, -43, -4\/7?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -26*o + 5. Let c be p(-5). Suppose 10*a - 15*a + c = 0. What is the greatest common factor of 9 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 2*y - 15 = 0, 3*d = 2*y - 60. Let h = d + 26. Differentiate 3*r**h + r**2 - 104 + 115 - r**2 with respect to r.\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6, -20, -44, -78?\n\"Answer: -5*u**2 + u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 7*l + 4. Let k be o(-7). Let v(x) = -3*x**2 + 1 + 2*x**2 - 4*x + 0*x**2. Let u be v(-2). Solve 3*s = 0, -8 = u*r - r + k*s for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 804.58 times 1\nAnswer: 804.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/140)\/(428910\/138040).\nAnswer: 2\/145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 4:15 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -0.2, -0.333, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 401723217 and 344334186.\nAnswer: 2410339302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15629 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 - -43.31. Let b = -2.353 + 2.6724. Let g = d - b. Round g to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42742 is divided by 415.\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*s + 31*s**2 + 280 - 7*s - 30*s**2 - 3*s**4 + s**4 + 6*s to the form f*s**4 + o*s**2 + d + i*s**3 + y*s and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -119.94 - -121. Let m = -0.06 + f. Let i = -3.5 + 1.5. What is the nearest to 0.2 in m, -3, i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3805 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 10. Factor 6*j**z + 2*j - j**4 - j**4 - 6*j.\nAnswer: -2*j*(j - 1)**2*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 + 10*f + 13. Let k(b) be the first derivative of b**3\/3 - 11*b**2\/2 - 13*b - 1. Let t(c) = 4*d(c) + 3*k(c). Is 11 a factor of t(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62266224 a multiple of 358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 4. Let t = -3.000025 + k. What is t rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 80483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5*f**2 + 2*f. Let j(w) = 16*w**2 - 5*w - 1. Let g(i) = -7*b(i) - 2*j(i). What is g(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4846 minus 0.3?\nAnswer: -1.7846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.9303758kg?\nAnswer: 0.0009303758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h - 6. Let b be z(-6). Let q(x) = x + 32. Let k be q(b). Suppose 2*u + 4*m = 5*u - 21, k = 4*u - 4*m. List the prime factors of u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55822?\nAnswer: 2, 13, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84266640?\nAnswer: 2, 3, 5, 117037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Solve 723 - 1878 - 2695 = -103*z + 1094 for z.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.787191 kilograms in nanograms?\nAnswer: 5787191000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of l**2 + l - 44. Suppose -2 = 3*h - 2*h. Let k = h - 0. Let g(s) = 4*s + 3. Determine k*g(b) + 5*d(b).\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 39*y**3 + y**2 - 1. List the prime factors of z(1).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -3*b + 7. Let p be i(-5). Suppose 3*g - g - p = 0. Is g a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - -10 - -15 - (4 + -2 + -17).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.079486km to centimeters.\nAnswer: 7948.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(204) + sqrt(204) + sqrt(204)*-1) + sqrt(204) - sqrt(204)*2*-3)\/(sqrt(768) + sqrt(768) + 4*sqrt(768)*-6))**2.\nAnswer: 17\/7744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -4095 at most -4096?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 divided by 3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11100000 (base 2) to base 11.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -100*y**2 + 43*y**2 + 149*y**2 + (2 - 1 + 0)*(-y**2 + 2*y**2 - 2*y**2) + 5*y - 6*y**2 - 5*y to p*y + d + a*y**2 and give a.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04723 rounded to 3 dps?\nAnswer: -0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -4*r + 30, -3*r + 7*r - u = 34. Calculate the least common multiple of 292 and (180\/2)\/r*3\/5.\nAnswer: 876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/((-294)\/(-12)*7\/(441\/36))?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*j - 4284 = -26*j + 11*j. Calculate the smallest common multiple of 2 and j.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -5*y + 35, j - 4*j + 3 = 3*y. Suppose 0 = -2*k - 4*x, -4*k = -y*x - 14 - 22. Solve o = k*o + 10 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1 and 401.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 4. Suppose -2*l = -5*k + 31, -l + 0 - 3 = v. Suppose -2*p - 57 = -k*p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 6 - 2 = 0. Let j be 308\/6*a\/(-216). Let d = j + 2\/81. What is the closest to -3 in 0, d, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j + 10. Suppose 3*a - 46 = 2*w, 0 = 4*w + 13 + 7. Calculate the smallest common multiple of k(0) and a.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1776 divided by -49444.\nAnswer: -444\/12361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - a = -8. Let d = a - -4. Let c(n) be the first derivative of -2*n**3\/3 - 7*n**2\/2 - 6*n - 1049. Determine c(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - -0.07371464.\nAnswer: -15.92628536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -461 = -5*t + 4*n + 1, -345 = -4*t - 5*n. Let s(x) = -x**3 - 2*x**2 - 2*x + 3. Let d be s(-3). Calculate the highest common divisor of t and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -126811*n + 1141311. Determine j(9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14477 - 7407. List the prime factors of f.\nAnswer: 2, 5, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b. Let r(v) = 1. Let u(j) = -28*j**2 + 14. Let c(w) = -14*r(w) + u(w). Calculate c(i(t)).\nAnswer: -112*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 83989*d**2 - 2*d + 303917 wrt d.\nAnswer: 167978*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -95, 2\/5, 0.6 in decreasing order.\nAnswer: 3, 0.6, 2\/5, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33847 + 33854. Is j greater than 1.49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)*-1 - sqrt(16))*-5)\/((2*sqrt(512) - sqrt(512)) + sqrt(512) - (sqrt(800)*2 + sqrt(800))).\nAnswer: -10*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1, -25, -73, -143, -235, -349, -485?\n\"Answer: -11*a**2 + 7*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k - 4. Let d(f) be the second derivative of f**3\/6 + f**2\/2 + 273*f - 2. Determine 5*d(u) + i(u).\nAnswer: 6*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 0*t**3 - t**3 + 6*t**2 - 4 - 5*t + 0 + 8. Let p be l(5). Suppose 0*x - 3*x = 2*c - p, 5*c + x - 10 = 0. Is 2 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -144 times 8.92\nAnswer: -1284.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -98*(1140\/(-1425))\/((-5)\/((-50)\/28)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83218 is divided by 33.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -16*p + 8. Determine r(4).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, i: 7, h: 1, y: 7, o: 1}. What is prob of picking 2 y and 1 h?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-7)*z)\/z)\/(z\/(z\/z**(-5)))*(z**5\/z*z)\/(z*z**0))**(2\/3) assuming z is positive.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand o + 2 - 3 - 2 + (-30 + 1 + 7)*(o + 1 - 1) + 23*o - 14*o - 29*o.\nAnswer: -41*o - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72 by -271.\nAnswer: -72\/271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*r = -3*o - 1743, -r = 0. Let q = o + 1004. Let j = -170 + q. What are the prime factors of j?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100111110111000 (base 2) to base 8\nAnswer: 47670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4808.02 + -4808. Which is the smallest value? (a) 1 (b) o (c) -0.5 (d) 8 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107574 is divided by 558?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 312, 4, 13, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22 + 3?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3067 less than or equal to 3060?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 130.1 + -129.8. Let v = 5 + -7. What is the closest to v in 1, i, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/349, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -20, -16, 3.\nAnswer: -20, -16, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-66)\/88*4\/(-3))\/2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1533, 3226, 4919?\n\"Answer: 1693*j - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -153, -14 in increasing order.\nAnswer: -153, -14, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40556?\nAnswer: 2, 10139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 2\/5 (b) 6 (c) 2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1976131692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 403608, 403616, 403624, 403632, 403640?\n\"Answer: 8*v + 403600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8898489449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**3 - c**3 + 0*c**3)*((2*c + 2*c - 5*c)*(-2*c - 1 + 1) - 3707*c**2 + 3049 - 6094 + 3045 + 11077*c**2).\nAnswer: 14744*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 230230 + 1?\nAnswer: 230231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, d: 6, e: 2, q: 2, i: 1, a: 1}. Give prob of picking 1 u, 1 a, 1 q, and 1 i.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of -c**4\/12 + 5*c**2. Let i(n) = 7*n + 2*n - 5*n. Calculate i(b(f)).\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of 0 - 1\/8*a**4 + 2*a**2 + 0*a - 14\/3*a**3. Let g be y(-10). Solve g*c - k - 1 = -0*c, -3*k + 9 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -12.9. Let s = d + -2. Which is smaller: s or -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -842 - -847. Solve -r*y - 28 = -3*c, -3*c = -2*y - 6 - 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45205618477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2080 divided by -416.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5*v - 65 = 48, 127 = 3*c - 2*v. What are the prime factors of c?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.06 (b) -6 (c) 5\/6 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c + 5. Let o be z(-6). Let j be 0\/(o\/(-2)*2). Suppose j = q - 13 - 2. Solve t - q = 3*k, -2*t = -5*t + k + 13 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*z + 52 = 8*y - 53*z, 5*y - 34 = -3*z for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h - 6. Let l be t(-7). Suppose -2*m - 5*r = 19, -l + 0 = -m + r. Let q be (20\/18 + (-62)\/(-279))*(-3)\/(-2). Put -10, q, m in ascending order.\nAnswer: -10, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 52*d + 14*d - 27*d.\nAnswer: 39*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**(-2\/3))**(-6)*(h*((h\/(h*h\/(h*h\/((h*h**(-1\/2))\/h))))\/h*h)\/h)\/((h\/h**5*h*h)\/h))**(-4\/29) assuming h is positive.\nAnswer: h**(14\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - 9*i**2. Let v be m(-9). Solve -2*o + 5*s + 16 = 0, 5*o - 5 = -5*s - v*s for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 5022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4378602 (base 9) to base 13\nAnswer: -645cb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 8*o**2 - 8*o + 9. Let z be u(7). Let k(c) = -c**2 - 7*c - 6. Let f be k(-4). Factor f*i**3 - z*i - 7*i**3 + 2*i.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c - 2. Suppose 12 = 4*d + 36. Let j be w(d). What is the greatest common divisor of j and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 8:20 AM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 170 - 167. Suppose -z + r*t = 5 - 27, t - 58 = -2*z. What is the greatest common divisor of z and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4102923 less than -4102897?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -81558 divided by -3\nAnswer: 27186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**3 + 4*n**2 - 8*n - 5. Let b(q) = -6*q**3 - 7*q**2 + 16*q + 9. Determine 4*b(t) + 7*j(t).\nAnswer: -3*t**3 + 8*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 1:02 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 5*q**2 + q)*((0 - 3 + 2)*(-2 + 1 + 0) - 1 + 2 + 3).\nAnswer: -25*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-63)*(-14)\/15.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 257 + 2400 + 961 - 141 + 151*v - 149*v as o + n*v and give o.\nAnswer: 3477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 25525 greater than or equal to 3\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9558 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 33999961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -42748.843 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (8050\/(-840))\/((-45)\/216)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.241, 1.1, -5?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o**2 + 50*o - 115. Let w be s(14). Put -5, 9, 1, w in decreasing order.\nAnswer: 9, 1, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooycfysyyf. What is prob of sequence so?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d + 16. Suppose 102*a - 14 = 100*a. Let i(u) = 18*u**2 + 7. Let f(n) = -5*n**2 - 2. Let z(p) = a*f(p) + 2*i(p). Calculate z(s(h)).\nAnswer: h**2 + 32*h + 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j*j**19)\/j*j))**49\/(((j\/(j*j**(-5\/6)\/j*j))\/j)\/((j\/(j**(-13)\/j*j))\/j)) assuming j is positive.\nAnswer: j**(-5507\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -11011202222021?\nAnswer: -11011202222011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 84636.75 millennia in years?\nAnswer: 84636750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3 and 19485943.8009.\nAnswer: 19485940.8009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3*n**2 - 4*n. Let j(r) = 6*r**2 - r - 7*r**2 + 2*r. Let s(y) = y - 1. Let o be s(0). What is o*c(d) - 4*j(d)?\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2904*s**4 + 143066*s**3 + 32558018*s**2 + 911076432*s - 76149216 = 0.\nAnswer: -516\/11, 1\/12, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (36\/21)\/(2\/21). Let r be (-6)\/6 - 52\/3. Let j = o + r. Which is smaller: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-1\/2))**(-15)*(v**(-1)*v*v)**(-25\/3))**(1\/22))**(1\/19) assuming v is positive.\nAnswer: v**(-5\/2508)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n**3 - 44*n**2 + 17*n + 27. Determine i(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-5)*51\/(-102).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -98.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(-9)\/s))**(-5\/8)*((s**(-4\/11)\/s)\/s)**(-1\/85) assuming s is positive.\nAnswer: s**(-23271\/3740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, 3, -15, -10\/9, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 70\/315*(-9)\/(-5)*5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.22 - 0.42. What is the closest to y in 4, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 11:35 PM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 3643300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 4*i)*(-3*i**3 + 5*i**3 + 0*i**3) + (-5*i**4 - i**4 + 7*i**4)*(-4 - 4 + 6).\nAnswer: -10*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b**2 - 104*b - 23. Give j(-34).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 1 - 11*n + 4 + n**2 + 0 + 3. List the prime factors of p(-10).\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11*r**2 - 27*r**2 - 10*r**2)*(-6*r - 16*r + 0*r)*(-3 + 0 + 4 + (0 - 2 + 3)*(1 - 3 + 4) + 1 + 0 + 0) to k + x*r**3 + p*r + z*r**2 and give x.\nAnswer: 2288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w**2 - 9 - 7 - 1 + 17. Let f(o) = -24*o. Calculate q(f(r)).\nAnswer: 1728*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/(-182))\/(64\/(-112)). Let o = 41\/130 + u. Which is the biggest value? (a) 0 (b) o (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.9 in 0.1, -5\/6, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-8))\/(-15) + 3\/(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 1\/2)\/(14\/364). Let b(z) = -29*z - 55. Let o be b(n). Calculate the highest common divisor of 46 and o.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5579.5 - 5575. Which is the closest to -1? (a) z (b) -2 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 572 and 260.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 48735*a**2*n*v**3 - 6*a**2*n*v**2 + 68*a**2*v**2 + a*n*v**3 + 4*n*v**2 - n*v wrt v?\nAnswer: 292410*a**2*n + 6*a*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.642573km to nanometers.\nAnswer: 2642573000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 8:16 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 118 and 6962?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4bc (base 16) to base 15\nAnswer: -55c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of 3*s**5\/10 - 9*s**4\/8 + 3*s**3\/2 - 3*s**2\/4 + 997. Factor t(q).\nAnswer: 3*q*(q - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 129535*l + 4792789. Give f(-37).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5 - -2) + 3 + 3. Solve 2*z - 2 = i*y, 8*z - 3*z - y = -21 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1788106 is divided by 122?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 14*c**2 - 25*c + 16. Determine w(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.013 - 0.107. Let h = -454805.09400176 + 454805. Let f = h - u. Round f to seven decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 + 2)*(0*l + 2*l - l)*(-882*l - 171*l - 714*l) as d + y*l**2 + h*l and give y.\nAnswer: -5301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 15*k**2 - 35*k - 33. Give g(-11).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/((-189)\/(-31338)) + 10\/(-15). What is the greatest common divisor of q and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 81*p**4\/2 + 15543*p**3 + 3010033*p**2\/2 + 2638856*p + 1167392.\nAnswer: (p + 191)**2*(9*p + 8)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1725306 and 7128?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -363.919 minus -22.912407?\nAnswer: -341.006593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 204848 by 16.\nAnswer: 12803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*u - 14. What is the lowest common multiple of u and 25?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 5*u - 2. Let a(j) = 5 - 10 + j**2 - j + 4. Suppose 6*g - 11*g - 10 = 0. Let k(n) = g*a(n) + d(n). Calculate k(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -258 - 391 - 375 + 460*a**2 with respect to a.\nAnswer: 920*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/8 + (-3)\/2. Let d = g - -6. Let c(k) = -3*k + d*k + k. Let p(s) = -2*s. Give c(p(j)).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 168180 divided by 6\nAnswer: 28030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/18)\/(85\/765).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -4.43.\nAnswer: -13.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h. Let q(o) = 42374*o**2. Give c(q(v)).\nAnswer: 84748*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2\/5, -0.7 in descending order.\nAnswer: 0, -2\/5, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a decade?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y + u - 7, 0*u + 2*u = 2*y - 2. Suppose 16 = 6*i - y*i. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5*x - 6. Let l be q(24). Suppose 38*w = 36*w + l. List the prime factors of w.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 1000101?\nAnswer: 1000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*a**3 + 1911*a**2 + 7*a + 5759577.\nAnswer: -54*a**2 + 3822*a + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10252\/(-3728) + (-47)\/(-12)\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 15 + 38 + 605*j - 17.\nAnswer: 605*j - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 195312, 198043, 205464, 219921, 243760?\n\"Answer: 391*u**3 - u**2 - 3*u + 194925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 697943149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -10 - (-103 + 92)) + 8 + (-8 - -9).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -203322 - -3143031?\nAnswer: 2434204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 872 in 3, -4\/9, -4, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 2, -1.5, -2\/11, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2979 and 14?\nAnswer: 41706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, u: 17}. Give prob of picking 3 u.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(11) + (-3*sqrt(11) - sqrt(11))**2) - (5*sqrt(44)\/sqrt(4))**2 - 5*(-5 + (sqrt(11) + 0 + 0 - sqrt(11)))**2.\nAnswer: -1104 - 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**2 + 450*j + 467*j + 2 - 885*j + j**3 as o*j**2 + i*j**3 + z + k*j and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 - 31. Suppose -24*m + 22*m + 2 = c. Let t(i) be the second derivative of -7*i**3\/6 + i**2\/2 + 3*i. What is t(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 - 28. What is the second biggest value in i, -0.2, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -154 + 139 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a gram in milligrams?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -16 - 16265?\nAnswer: -16303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 5 - 10. Suppose f*q - 30 - 42 = 0. Calculate the highest common divisor of q and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -206 and -0.118.\nAnswer: -206.118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 4:31 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17117\/2892 + -1\/482. Calculate the common denominator of -19\/1418 and d.\nAnswer: 8508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -4 - (-1)\/(-4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14793 is divided by 100?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 34*m + 11. Let j be i(34). Suppose -7 = -2*g + j. Solve 4*u + g = -4*o + 25, 3*u - 12 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 911886762.\nAnswer: 2, 3, 31, 47, 104311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in -0.3, 4\/11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 - 13. Let k = b + -4. Differentiate -3*y**4 + 1 + 0 + 4*y**k with respect to y.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-273)\/(-28)*10660\/1599?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c**2 - c + 4. Suppose 9 = 9*p - 18. Calculate t(p).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2581, -9, 4, 0.1, 105 in descending order.\nAnswer: 2581, 105, 4, 0.1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jx when two letters picked without replacement from xxj.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11806, 47230, 106262, 188896, 295126, 424946?\nAnswer: 578350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -g**6\/120 - g**5\/12 + 5*g**4\/24 - g**3\/2 - 17*g**2. Let x be p(-6). Solve 2*k = k - x for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33290 and 266320?\nAnswer: 266320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 7. Let w = 35 + m. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -2122?\nAnswer: 2201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8039 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 u = -741266 - -411266. What is u rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82667 divided by -176\nAnswer: -82667\/176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*i**2 + i**2 - 11*i**2)*(-5*i + 4 + 0*i + 0*i).\nAnswer: 10*i**3 - 8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 n when two letters picked without replacement from knmjoqmj.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4086 is divided by 1019.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 + 0.2. Suppose -168 = -97*u + 153*u. What is the nearest to 1\/2 in u, -1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72*28\/(-3024) - -4?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j**2 - 30*j - 9. What is the remainder when p(-9) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 126*a - 693. Does 60 divide f(29)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwdddwwwwwwww. Give prob of sequence dd.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oidgdiglddididodidix. Give prob of picking 1 i and 1 d.\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -188, -0.1, 2226, -10.\nAnswer: -188, -10, -0.1, 2226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a + 16. Suppose 0 = 17*g - 18*g - 7*q + 38, 2*q - 10 = 0. Let o(f) = f + 15. Calculate g*o(p) - 2*u(p).\nAnswer: -p + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 4111?\nAnswer: -4114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 + 1 + 1011*a - 9 - 6 - 4 to m*a + b and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 85*o**2 - 957*o + 667. Give h(95).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11440716, -22881440, -34322174, -45762924, -57203696, -68644496?\nAnswer: -80085330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-6)*1 + 4\/120. Which is the second smallest value? (a) o (b) -3 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + (41 - 9) - (0 - -11)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.17 + -0.27. Let q = t - -0.08. Let i = q - -0.06. What is the third smallest value in i, 2\/21, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*i - i**2 - 16*i - 11*i + 11*i.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 349*t**2 - 18 - 3 - 328*t**2 with respect to t.\nAnswer: 42*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 116.9671 + 0.2329. What is t rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 4. Let s be u\/(-6) + 20\/12. Suppose -s*a + 9 + 6 = 3*k, -3 = -3*k. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -174981 divided by 174981.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -366, -2465, -8176, -19305, -37658, -65041, -103260, -154121?\nAnswer: -219430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1068)\/(-182) + 7*24\/(-1092). Solve -y*u - 18\/7*u**4 - 86\/7*u**3 - 124\/7*u**2 + 16\/7 = 0 for u.\nAnswer: -2, -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -9*r**2. Let s(f) = -2988*f. Calculate s(n(c)).\nAnswer: 26892*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - 1)\/((-2)\/6). Let v(i) = i**2 + 3*i - 13. Let k be v(-6). Solve z = k*a - 19 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -423*w + w + 4420 + 10772 for w.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 1\/2433613?\nAnswer: 1\/2433613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -160717.078 - -160384. Let m = c - -333. Let u = 3.9 + -4. Is m bigger than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2600 and 101800.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 14) + 8 + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 (base 6) in base 16?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-6)*6\/27*-3\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*x + 2*a, -5*x + 38 = -a - 2. Suppose -9*i + 4*i + 25 = 0. Let w = x - i. Solve -2*o + 6 = -0*u - 2*u, -4*o - w*u + 12 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1850 + -1847. Which is the biggest value? (a) 0.1 (b) m (c) 2\/57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + l**2 - 5*l + 9. Let g(a) = a**2 + 1. Let j(q) = 3*g(q) - m(q). Let d be j(-5). Round d to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*3*((sqrt(192) - (sqrt(192) + 1 + sqrt(192) + 1)) + sqrt(192) + 1*sqrt(192)*6))**2 + 0.\nAnswer: -248976 + 6912*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/2 + 1)\/((-3)\/(-12)). Suppose 6 = g*f - 2. Let p(l) = -l + 5. Let k be p(0). Solve 0 = -5*w + k*o + 11 + f, 0 = 2*w + 4*o + 6 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15.07 + -0.07. Which is the closest to m? (a) -1\/4 (b) -2 (c) -2\/13 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 10:24 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 3. Let n be -1 + l + 19891*-367. What is n rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17945967\/110 - 163144. Let f = -1103 - -5526\/5. Calculate the common denominator of f and o.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 102 * 47494.\nAnswer: 4844388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 6 = -g - 3, -16 = 4*w. Let l be -2 + (g - 10) + 310005\/1. What is l rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -1065 - 1565. What is the greatest common factor of 20 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 15*m**2 + 814*m - 14557. Give o(18).\nAnswer: -877","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*k + 65 - 740. Calculate the greatest common factor of k and 865.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - 3.8. Let h = 11.12 + -0.32. Let p = n + h. What is p rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*g + 106*g - 53*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 7*x + 20. Let u(a) = 8*a + 19. Let s(g) = 3*u(g) - 2*v(g). Differentiate s(t) with respect to t.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, x: 1, i: 1, e: 2}. Give prob of sequence xei.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2 - 2)*(-58*c**3 + 40*c**3 + 2*c**4 + c**4) to g + z*c**3 + k*c**2 + p*c**4 + n*c and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 162 and 4115.\nAnswer: 666630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5008, -15933, -26858, -37777, -48684, -59573, -70438, -81273?\n\"Answer: h**3 - 6*h**2 - 10914*h + 5911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2 - 4*x + 9*x - 3. Let l be q(1). Let p(y) = y**2 - 4*y - 4. Let a(n) = -n - 1. Let k(w) = -a(w) + p(w). What is k(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2005 - -1988. What is the closest to 1 in -1, 4, 5, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -2\/5, -4, -252?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 30.467?\nAnswer: 60.934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2729?\nAnswer: 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/924 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 36 = -3*z, -3*q - 25955 = 4*z - 25919 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*x + 17 = -g, -3 = -2*x - g. Suppose 2*d + 2*a - 22 = 7*a, x*d = 5*a + 24. Is ((-46)\/(-4) - d)*2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 576875223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245918 is divided by 2158?\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -4420*b + 1. Is t(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136475 a multiple of 265?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 1 + (-16 - -10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 c when two letters picked without replacement from hgqafch.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -87, -2, 9099 in increasing order.\nAnswer: -87, -2, 1, 9099","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, l: 1, r: 2, h: 1, f: 2, i: 5}. What is prob of sequence hfr?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2000020112 (base 3) in base 13?\nAnswer: 14cc9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30857616 by 6.\nAnswer: -5142936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 185011500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -463 in decreasing order.\nAnswer: 4, -5, -463","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 35 = -0*t. Let h = 8 + t. Let v = 1 + 3. Which is the third smallest value? (a) h (b) v (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -291700*-369.8\nAnswer: 107870660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*q - 44*q + 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1000111 (base 2) to base 14\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 480 = 4*q - 528, 0 = 5*q - 2*x - 6 + 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (5 + (-96)\/27)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 5*y - 5, -4*a = -2*y - 146. Suppose a = j - 11. Let m = 90 - j. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) -2 (b) 0.2 (c) -42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 - c + 1. Let k(a) = -4*a + 2. Let g(j) = -k(j) + 4*z(j). Differentiate g(p) with respect to p.\nAnswer: -8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 543343530 to the nearest 100000.\nAnswer: 543300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4872 divided by 8.\nAnswer: -609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 5:37 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 69426013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.69 - -54.69. Let j = l - 50.5. What is j rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6197.\nAnswer: 6197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97\/2037*26\/(-39).\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -139*f*q + 1286361*f + 3*q**3 + 302*q wrt q.\nAnswer: -139*f + 9*q**2 + 302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31566588 is divided by 225?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5269 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -62031657 and -3.\nAnswer: 186094971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11223*q**3 + 3*q**2 - 660829*q wrt q?\nAnswer: 67338*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -756 (base 9) in base 2?\nAnswer: -1001101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16719 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23.5 + -22. Let x = n + -10.5. Does -4 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 25738\/(6*3\/9). Let o = s - 128807\/10. Find the common denominator of -51\/8 and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 18*w + 273 - 220, 5*w + j + 27 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.002 and 3.64486888074.\nAnswer: 3.64286888074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 131179.\nAnswer: 131174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 27 = -4*v, v + 19*k - 20*k + 3 = 0. Solve x = -5*l - 16, 7*x - 10*x + l = v for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.2 + -6. Let i = j + 1. Let z = 1.24 - 0.24. Which is the third biggest value? (a) -3\/4 (b) i (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 600.72, -16?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 - -132228?\nAnswer: 132224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 11 + -5 + 8 + (17 - 50)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 - 4)*(-3 - 2*t + 3) - 3*t - t + 6*t + (5 - t - 5)*(3 - 3 + 1) - t + 4*t - t)*(10*t - 10*t + 6*t**2) + (-3 + 4 - 2)*(-t**3 + 4*t**3 - 2*t**3).\nAnswer: 41*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/11 - 1406*a**2\/11 - 253310*a\/11 - 2167362\/11.\nAnswer: -2*(a + 9)*(a + 347)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.019528 rounded to 3 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*k + 2 = -100*k. Put k, 1, 1\/9 in ascending order.\nAnswer: k, 1\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 - 30 - (10 + 6 + 2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3979141289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1647 (base 8) to base 14\nAnswer: 4ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -5*u - j + 12944, -u + 3*j + 2580 = 0. What is the common denominator of 59\/20 and 5 - 22*604\/u?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -260*q**3 + 260*q**3 + 21*q - 22*q**5 wrt q?\nAnswer: -440*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5884 - 266\/(-70)*-5. What is the highest common factor of 23 and r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + -211014680?\nAnswer: -211014679.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 35.03123t?\nAnswer: 35031230000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y - 16 = -136. Suppose -y*q - 121 = -q. Put -3, 1, q in decreasing order.\nAnswer: 1, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*u - 4*x - 4, 0 = -4*u + 2*x - 16. Let o be (-303)\/(-15) + 1\/u. Let g = o + -1. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 122770 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 17 - 2. What is the biggest value in 2\/5, h, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 + -0.1. Let k = -0.9 - -0.81. Let o = 1.91 - k. Which is the nearest to -11? (a) o (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 245441522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 233913560 rounded to the nearest one hundred thousand?\nAnswer: 233900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1812 and 755.\nAnswer: 9060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -489*f**3*x**3 - 20*f**3*x**2 + 6*x**2 wrt x.\nAnswer: -2934*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 354065187.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.82061 decades to millennia.\nAnswer: 0.2782061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-18) + (-227)\/9. Let b = y + 41. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -38899, -70885, -102871, -134857?\n\"Answer: -31986*y - 6913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 221 - 218. What is the highest common factor of 93 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 11. Suppose -2*q = -3 - d. Is 3 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 316260 = 2*x - 7*x, -x + 63250 = -2*h. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.4 - -4.1. Which is the third smallest value? (a) 2 (b) o (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.289, -3, 91, 7\/4?\nAnswer: 0.289","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5332 is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 589?\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -5045*r. Let j(i) = -i - 1511. What is o(j(z))?\nAnswer: 5045*z + 7622995","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 4829782.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -2931 + 2932. Let a(x) = 10*x - 5. Let u(i) = -i + 1. Determine z*a(w) + 6*u(w).\nAnswer: 4*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 8 = -10*d + 2*w, 0 = 5*w - 25. Which is the closest to -4? (a) -4 (b) d (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 796301 and 55?\nAnswer: 3981505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 6 + 18 = -3*z, 0 = 3*z - q - 6. Let s be z\/(3 + (-52)\/18). What is the greatest common factor of 99 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is bc6c + 8?\nAnswer: bc75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (-2 + 0)) + 8\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1635 is divided by 22.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 + 40 - 110*v**2 - 16)*(2*v + v + 4*v).\nAnswer: -770*v**3 - 14*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 202 - -43. Find the common denominator of 1876\/c + -2 + -4 and -13\/5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 3*n**2 - 3 - n - 1 + 9*n - n**3 + 3*n**2. Let w be u(7). What are the prime factors of (-4)\/6 - (-26)\/w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 12217?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 150 = 14*v + 122. Put 17, 5, 0, v in decreasing order.\nAnswer: 17, 5, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102600 is divided by 99487?\nAnswer: 3113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 217*0.3.\nAnswer: 65.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 0 + 1\/2*v**4 + 2*v + 0*v**2 - 3\/2*v**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 + y)*(3817*y - 59352 + 59352) as v*y**2 + o*y + r and give v.\nAnswer: 3817","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -14*x**3\/23 + 1592*x**2\/23 - 4650*x\/23 = 0.\nAnswer: 0, 3, 775\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 296\/(-3534) + (-352)\/(-3344). Let n = 41 + -41.5. Which is the second biggest value? (a) -3 (b) n (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 10, 21*j + 4 = 2*l + 19*j for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -4*j**2. Suppose 2*i - 3*i = -a - 9, 10 = -2*a. Let b(z) = -13 - 3*z**2 + i*z**2 + 13. Determine b(t(n)).\nAnswer: 16*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*v + 54 = 0. Let a = v + 3. Let f be (a\/(-9))\/((-5)\/15). Let m(w) = -w**3 - 5*w**2 + w - 3. Give m(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 12 - 22 = 0. Suppose n*l = 4*o - 1128, 3*l = -2*o + l + 558. What are the prime factors of o?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(6\/11)\/(f**9\/f))\/(f\/(f**(-6)*f))**(3\/29) assuming f is positive.\nAnswer: f**(-2576\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r - r - r - r**3 + 2*r. Suppose b = 3*b - 2. Let i(z) = z**3 - z. Calculate b*x(j) + 2*i(j).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 125246 (base 8) in base 3?\nAnswer: 2012221000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 26*z**2 + 1. List the prime factors of f(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 8*w**2 + w + 9. Let m(v) = 3*v + 40. Let q be m(-16). Let l be a(q). Solve 3*k = -b, -2*k = -l + 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8735 is divided by 990.\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -235054 - 3340?\nAnswer: -241424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -115818.8608 to the nearest 100.\nAnswer: -115800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 bigger than -241.545?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/336)\/(24\/(-21))?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nyxnzzzyzeeyx. Give prob of sequence ene.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-4)*10*-2. Suppose -5*h = -5*g - 20 - 115, 2*h = 10. Let t = m + g. What is the common denominator of t and 1\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -281, -572, -1065, -1766, -2681, -3816?\n\"Answer: -p**3 - 95*p**2 + p - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 45*m - 86. What is the remainder when 309 is divided by k(-41)?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 167 + 105 - 2*l**3 - 87 + 0*l**3. What are the prime factors of g(0)?\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3790.011 - -3799. Let g = 9 - w. Let a = 0.010846 - g. What is a rounded to 5 decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 813?\nAnswer: 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -103.253 from 6274592120.\nAnswer: 6274592223.253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3234 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hnrnnrhaharwnaah. Give prob of picking 2 r and 2 h.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*b - 17*b - 24*b - 2262 = 0 for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83339331 divided by 27779777.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -25, -63, -113, -181, -273, -395, -553, -753?\n\"Answer: -p**3 - 31*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2*g**4 + g**3 + g**2 - 4*g + 3. Let u(y) = y**4 - y + 1. Suppose -3*w = x - 0*x - 12, x = 4*w - 23. Let z(t) = x*u(t) + o(t). Factor z(s).\nAnswer: -s*(s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 6*q**2 - 5*q - 8. Let c be (10 + (-6)\/1)\/((25\/10)\/5). What is r(c)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 0.02, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.43 times -384.48\nAnswer: 165.3264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/5 - ((-3366)\/10 - -2). Suppose -6*u + j + 775 = 0. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 113437613?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5437 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -745, -12, -1, 6, 0 in decreasing order.\nAnswer: 6, 1, 0, -1, -4, -12, -745","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 79*v**2 - 4*v. Let u(l) = -877089*l + 2*l**2 + 877089*l. What is f(u(c))?\nAnswer: 316*c**4 - 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22021 - 0?\nAnswer: 22021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 - 38.3. Sort 3\/5, x, -0.1.\nAnswer: x, -0.1, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 16 + 8 + 4*m + 11. Let w be s(-11). Sort w, -2, 2.\nAnswer: w, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 137 (b) -2\/3 (c) 3\/2 (d) -2926\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 12 = 40 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 817?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 5. Calculate the common denominator of 75\/44 and 23\/j*(-9)\/24.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of d**5\/20 - d**4\/6 - d**2\/2 - d. Suppose 2*y - 9 = -n, 2*y - 3*n = 2*n - 9. What is the least common multiple of 10 and u(y)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eezze. What is prob of picking 1 e and 1 z?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*g - 6*g + 5*g - 1)*(7 - 7 + 6*g).\nAnswer: -48*g**2 - 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 0, -2, 9\/109 in descending order.\nAnswer: 4, 1, 9\/109, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 - -1.548053791.\nAnswer: 62.548053791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 18*y = -17*y + 9, 46*l = -14*l - 8*y - 72 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22801 - -684197\/30. Find the common denominator of 67\/6 and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*z**4 - 4*z**3 - 26*z**4 - 3*z**2 + 2*z**2 to the form g + f*z**4 + n*z + t*z**3 + o*z**2 and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 3*i + 29. Let l be z(8). Let q(h) = 5*h**2 + 9*h + 19. Does 15 divide q(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**5\/17 + 758*k**4\/17 - 25788*k**3\/17 + 11944*k**2\/17 + 25784*k\/17 - 12702\/17 = 0 for k.\nAnswer: -219, -1, 1\/2, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-139)\/(6950\/(-20)))\/((-1)\/(-10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/8 in 0.3, 2414, 0.5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -1. Let s(q) = -7*q**3 + 2*q**2 + 3. Calculate 3*j(b) + s(b).\nAnswer: -7*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 0*t - 9*t**2)*(-t + t - 2*t) + (1 - 1 + t**3)*(1 - 7 - 3) + (-4*t - t + 3*t)*(-2*t**2 + 4*t**2 - 4*t**2).\nAnswer: 13*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-10))\/(2\/(-7 + 27)). Sort 3, -1, w, 1 in decreasing order.\nAnswer: w, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4930 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14*(-8)\/(-280)*772325\/5 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(121)\/(-3*(sqrt(11)*-1 + sqrt(11)) + sqrt(11)) - (-5 + sqrt(88)\/(sqrt(8)*2)))**2.\nAnswer: 5*sqrt(11) + 131\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1407885797 - 1.06743.\nAnswer: 1407885795.93257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-10)\/(-2))\/10)\/(3\/6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 10, q: 2}. Give prob of sequence eeq.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -3*y**3 + 1144521*y**2 - 2289021*y - 3433545 = 0?\nAnswer: -1, 3, 381505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11458005 and 7472040.\nAnswer: 13155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18 - -39. Suppose -w - 3 = -2*f, -6*f + f + p = 2*w. Suppose 3*q - 2*n = 0, q - w*n + 11 = 2*q. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-17)\/85 + 261\/5. Suppose -4*w = f + 2*f - 76, -4*w + 3*f + d = 0. What is the greatest common divisor of 496 and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2180121 divided by 161\nAnswer: 2180121\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 534 = 50*a - 448 + 32. Calculate the remainder when 202 is divided by a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 2*d - 8. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5197351 centuries in months?\nAnswer: 623.68212","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 31 = -4*w + 39, 5*t = 3*w - 29 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -1799*p**4\/24 - 247*p**3\/3 - 67*p**2 - 8. What is the first derivative of x(b) wrt b?\nAnswer: -1799","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 117 = 3*p - 3*r, -r - 3 = 0. Let v be ((-126)\/(-15))\/((p\/(-30))\/(-3)). What is the highest common divisor of v and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ogcyotgcv. What is prob of sequence oct?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 7:29 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2019, 4122, 6225?\n\"Answer: 2103*n - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + u = -3*x - 54, -5*u = x + 32. Let r = 20 + x. Which is greater: r or 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0192 + -0.1192. Let h = 1193.89934 - 1194. Let v = x - h. What is v rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 12. Suppose d = u*d. Let l = -4 + 6. Solve 0 = c - d*c + l for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.06038 + -4.93962. Let j = -1367\/13 - -105. What is the closest to m in 0.05, -1\/2, j?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/(-14) - 1*-3. Suppose 3*y + 367 = z*x + 2*y, 4*y = 4*x - 728. Suppose -3*i + x + 106 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4022473?\nAnswer: 7, 13, 44203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of 13*p**4\/4 + p**3 - p**2\/2 - 3. Find the third derivative of m(a) wrt a.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2205001*v**2 + 12*v + 28. Let f be d(-2). What is f rounded to the nearest 100000?\nAnswer: -8800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*z - 5*y, 9*y = -2*z + 2*y - 22. Let i(o) = 2*o. Let g be i(-1). Is z\/6*g + 632 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100100000100010 + 100101?\nAnswer: -1100011111111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + 133\/49 - (-20)\/21. Let k be (-1)\/(-4) + (-17)\/4. What is the second biggest value in 5, k, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (-7)\/(14\/(-4)). Suppose 0 = f*y + 4*o - 29, 8 = y - o + 3. What is the derivative of y*i**4 - 6 - 19*i**4 + 6*i**4 wrt i?\nAnswer: -24*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 643 - 397. List the prime factors of p.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 10*z**2 - 9*z + 4. Let j = 58 + -39. Let q = j + -28. Does 4 divide b(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 5. Let b = 9 - r. Let n = -12.9999991 + b. Round n to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 273 and 637.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25504755 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y - 11. Calculate x(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vs when two letters picked without replacement from sqshyycvsccyyyyccssy.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700) + (sqrt(1700) + 0)*-2 - sqrt(68)\/(sqrt(4)*-2*-1 + sqrt(4) + sqrt(4)).\nAnswer: -41*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/24 + (-100)\/(-24). Let g(h) = -h - b*h - h + 4*h. Let c(s) = -35*s. Determine g(c(q)).\nAnswer: 70*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*l + 31*l + 14*l - 18*l.\nAnswer: 58*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 208*u - 250*u + 378. What is the common denominator of 49\/12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.1752322 rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 240285983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30 + 35 + 3*b**3 - 10*b**2 - 2*b**3 - 53 to c*b**3 + q*b**2 + a*b + g and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1364*k + 1364*k - 14144*k**3.\nAnswer: -14144*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 - 2*f - 4. Let s(z) = 3*z**2 - 3*z - 7. Let o(m) = 5*r(m) - 3*s(m). Let p be o(2). Find the first derivative of -4*b**2 + 1 - p + 7 wrt b.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10588, -10634, -10694, -10768, -10856, -10958?\nAnswer: -11074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7756*w**3 - w + 21356.\nAnswer: -23268*w**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19552297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 89 (b) -4 (c) 3\/14 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 126161363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 420 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**4 + 2*f**2 - 17*f**2 + 16*f - 6*f.\nAnswer: 5*f*(f - 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 - 10*l - 10. Let t(z) = -2*z**2 + 9*z + 10. Give -4*c(p) - 5*t(p).\nAnswer: 2*p**2 - 5*p - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/18 and 73\/7302.\nAnswer: 21906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -42.2 + 47. Let s = v - 0.8. Let t be -2 + 12\/6 + -1. Which is the closest to s? (a) 4\/7 (b) -3\/2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 - 32*l + 13. Let c(i) = 5*i. Determine f(c(g)).\nAnswer: -50*g**2 - 160*g + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*d - 25. Let h be (0 - -2)*(-6)\/d. Suppose -l + 8 = h*l. Solve 4*c - 4 = -4*z - 16, 4*z - l*c + 18 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 7:52 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1705.\nAnswer: 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 336\/1079 - 4\/1079. What is the third smallest value in 2\/9, r, 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/3 + 2 + 3. Suppose 3*s = o + 7, o + 12 = 4*s - 3*o. Suppose 3 = -5*v + i, s*v + 2*i - x*i + 6 = 0. Solve -2*c - 3 - 5 = v for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*(-4)\/(4\/(-3)). Let h = 19 - w. Calculate the lowest common multiple of 9 and h.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 24*o**2 - 94*o + 19. Let j be x(-19). Suppose 2*u + 12*u - 42 = j. What is the nearest to -20\/7 in 4, -4\/9, u?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 681 - 682.462. Let i = -15.4 - -14. Let j = i - w. What is j rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1335 is divided by 103?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b. Let s(h) = 8*h + 1. Suppose -o = 5*r - 9 - 24, -57 = -4*o - 5*r. Suppose 10 + o = 3*j. Give j*z(y) + s(y).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06529 rounded to 3 dps?\nAnswer: -0.065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26406235 and 9?\nAnswer: 237656115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of r**6\/24 - r**5\/30 - 21*r**2. Let o(q) = -4*q**3 + 2*q**2. Suppose -13 - 3 = -4*i. Give i*o(z) + 3*p(z).\nAnswer: -z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 61751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22.26*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.064 + -0.064. Put 5, k, 0.1, 0.4 in descending order.\nAnswer: 5, 0.4, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10400 and 1489072.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - y - 6. Let d(p) = -p - 1. Let c be 2*3\/(-6)*1. Let x be d(c). Calculate j(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j + 12. Let h(r) = -r + 1. Suppose -4*t = 2*y - 20, 4*y - 2*y = 5*t - 7. Let s(u) = t*h(u) + d(u). List the prime factors of s(-7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216900.\nAnswer: 2, 3, 5, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 381, 1535, 3459, 6153, 9617?\nAnswer: 13851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, k: 3, l: 5}. What is prob of sequence kkn?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 2:41 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -17. Let j(n) = -n**2 - 5*n + 13. Let h be j(y). Let f = h - -22. Calculate the highest common divisor of 99 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i = -34 - 190. Suppose c = i*c - 286. Calculate the smallest common multiple of c and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r + 3*r - 3*o - 6, -3*r - 4*o = -9. Let g = r - 16. What are the prime factors of (4 - 5)\/(1\/g)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 5. Let d = l - -4. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -3)*1\/2. Let o = 24 + -24. Suppose 2*k + 0*k - 8 = o, 5*n + 2 = 3*k. Put 0, q, n in descending order.\nAnswer: n, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 16080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21203196 + 4*t - 21203196.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52061 - -1457909\/28. Let t = -29\/4 + s. Calculate the common denominator of 55\/8 and t.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -8*b. Let a(w) = b + 0*w - 3*w + 0 + w**2. Give a(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -44*f - 3. Let c(g) = -4050*g - 275. Give 6*c(d) - 550*r(d).\nAnswer: -100*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 12316 = 2*o - 5*j, -3*o + 2*j = -18454. Does 181 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -182025 (base 9) to base 10\nAnswer: -113018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/1)\/((-30)\/(-40)). Solve 15 = -o*p - p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 980, 997, 1014, 1031, 1048?\nAnswer: 1065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x - 2*x**4 + 188*x**2 - 6*x**3 - 374*x**2 + 194*x**2 - 4 + 4*x**3 - 4*x to p + k*x**3 + j*x + d*x**2 + t*x**4 and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11\/8 or -3.618?\nAnswer: -11\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -1593.44634 to the nearest 10.\nAnswer: -1590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g*((g\/(g**(29\/4)\/g*g))\/g)\/g)\/g*g))**10 assuming g is positive.\nAnswer: g**(165\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5303 + 15536. What are the prime factors of a?\nAnswer: 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmmmmm. Give prob of picking 4 m.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 3:13 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2 (b) -0.12 (c) -6 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o**3 + 27*o**2 - 47*o - 30. Let l be k(-15). Solve -4*v + 13 - 29 = l for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 116*m**2 + 551*m - 425. Calculate a(4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (240\/(-396))\/(-2*95\/114).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 16. Let n = 959 - 938. Calculate the greatest common divisor of j and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uqhhuubhhh. What is prob of sequence hq?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qqleqeckke.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-8)\/10)\/((-6)\/15). Let p = l - -8. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16785062 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1010111011000 (base 2) to base 15\nAnswer: 19cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*m - 2. Suppose m*q + 2*q = 48. Let s = 15 - q. Solve -2*b - s = 7 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04 - -0.26. Let m be (89 - 85)\/((-8)\/(-20) + 136\/10). Which is the nearest to m? (a) 0 (b) -2\/5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -f**6\/5 - 3*f**2 + 2*f - 3. Let l(z) be the first derivative of t(z). Differentiate l(r) with respect to r.\nAnswer: -24*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 55\/45 + 7 + 56\/(-7). What is the nearest to -3 in 4, 5\/8, 2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45225174.99881 - 45225430. Let d = -255 - h. What is d rounded to 4 decimal places?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a decade in months?\nAnswer: 792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(119) + 2*sqrt(119)) + sqrt(119))\/sqrt(7) + -3*sqrt(17)*-6*5)**2.\nAnswer: 98192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.2 (b) 0.3 (c) 3\/4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g - 1032 = 4792. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(25\/(-550)*-22). Let p(z) be the second derivative of o*z**3 - 17\/10*z**5 + 11\/12*z**4 + 0*z**2 + 0 - 31*z. Find the third derivative of p(s) wrt s.\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2*g = -54, 3*z - g = 18 + 10. What is the remainder when z is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*c**4 + 3*c**2 - 21*c**4 + 3*c - 2 + 29*c**4 - 2*c**2 to t*c**4 + l*c**3 + a*c + f*c**2 + p and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4753 and 3136?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x + 43. Let g be q(11). Solve g = 92*a - 90*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 - 22 - (-232 + 235 - (3 - -4 - 2))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -100 and 192.\nAnswer: -19200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 - 2*t**2 - 441*t**3 - 18 + 446*t**3.\nAnswer: 5*t**3 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 370*k**4*o + 170*k**3*o**2 + 105250*k*o**2 wrt k?\nAnswer: 4440*k**2*o + 1020*k*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 206 + 169. Let b = c + 75. What is the tens digit of (-1)\/2 + b + 4875\/50?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*i**3 + 13*i - 13*i.\nAnswer: -13*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (402\/4020)\/(12 + 1314\/(-45))?\nAnswer: -1\/172","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(612) + 0 + sqrt(612))*-6 - (sqrt(153) + (sqrt(153)*1 + -3)**2)) + 1)*6.\nAnswer: -342*sqrt(17) - 966","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13314936577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/4 of a millennium?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66585 = -1895*k - 9215 for k.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b. Let j(n) = 49*n**2 + 2747. Give z(j(s)).\nAnswer: 49*s**2 + 2747","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -148 - 3?\nAnswer: -14b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3373 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/4))**8)**0*u**7*u**4*(u*u*u*u**(4\/9))\/u**6 assuming u is positive.\nAnswer: u**(76\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 1 + 1 + 0*c - 2*c. Is 6 a factor of q(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -250 and -7203423517?\nAnswer: 7203423267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 - 12609*m + 26 + 12618*m - 38.\nAnswer: 9*m + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 10. Suppose 5*m + a*o = m - 132006, -5*m - o - 165003 = 0. Round m to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = n - 33, -83*d + 96 = -86*d + 2*n. Sort 4, 2, -1, d in descending order.\nAnswer: 4, 2, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50242510 divided by -5024251\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 7*a**2 - 12*a - 104. Let k be w(-4). Solve 0 = 10*y - 126 + k for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.036093 and -417.\nAnswer: -416.963907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 35*t**2 - 49*t + 5. Let m(r) = -31*r**3 - r**2 + 5*r + 4. Let y be m(-1). Is f(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -31) + (175 - 210).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2471281 (base 12) to base 4\nAnswer: -123020331001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhii. Give prob of sequence iiih.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*w**3 + 45*w**3 + 19*w**2 - 21*w**3 + 19*w**2 - 38*w**2.\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.14 and 244325?\nAnswer: -34205.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/700 and 27\/266000.\nAnswer: 266000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*l**2*r + 81*l**2 - 26*l*r**2 + 27*l - 46*r**2 + 1691*r + 108 wrt l?\nAnswer: -6*l*r + 162*l - 26*r**2 + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 3724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.83 - 0.87. Which is the fourth smallest value? (a) g (b) -0.4 (c) -3 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 418099969?\nAnswer: 7, 103, 631, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 376 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 433499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/1*2\/3. Suppose -3*r + 1 = -g*r. Let i = r - 35. Calculate the common denominator of -6\/5 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5 = -3. Let t be (-1266)\/(-21) + c\/14. What is the greatest common factor of t and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, z: 15}. What is prob of picking 1 a and 1 z?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -m**2\/2 + 6*m + 7. What is g(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.937187 millilitres to litres.\nAnswer: 0.001937187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) -0.0255 (c) -5 (d) 0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q - 27. Let c(j) = j - 2*j**2 - j**3 + 2 + 12*j**2 - 15*j + 3*j. Let w be c(9). Is a(w) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77)\/sqrt(28) + (sqrt(11) - sqrt(176))*-6)*-3 - 3*((sqrt(11)*-2)**2*-2 + -6*(sqrt(11) + 0)).\nAnswer: -75*sqrt(11)\/2 + 264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cx when two letters picked without replacement from xxcxxcxxxxxx.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(242) + -1) - sqrt(242) - sqrt(242) - 5*(0 + sqrt(162) - sqrt(162)))*-5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 10 + -20 - (1 - -1) - 13.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2979 from 22.5004.\nAnswer: -2956.4996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 4*p + 4*x + 129, -5*p - 133 = 3*x. Let i = p + 69. Suppose -r - r = -i. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -83, 2, 0.5, 1 in decreasing order.\nAnswer: 2, 1, 0.5, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1678 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 255551 and 2555510.\nAnswer: 2555510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*a**4 + 119672*a**3*z + a**2 + 10256888*a*z wrt a?\nAnswer: -192*a**2 + 718032*a*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-110)\/44*4\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*j + 66330597 - 360188677 - 755301920. Round j to the nearest 1000000.\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(684)*-1 + 3 + -5)**2 - ((sqrt(684) - -1*sqrt(684) - sqrt(684)) + -4)*5) + -2.\nAnswer: -30*sqrt(19) + 3538","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1047015*g**5 + 117*g**4 + 2*g**3 + 23680*g**2 - 2202*g - 3 wrt g.\nAnswer: -62820900*g**2 + 2808*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-5))\/((-37298)\/(-93245)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61 - 75.9. Let t = x - -15.3. What is the biggest value in -0.05, t, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**3 - 508*f**2 - 12160*f = 0. Calculate f.\nAnswer: -95, -32, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l + 28. Determine b(15).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*y + 4*q + 17, -18 = 4*y + 2*q. Let c be (17\/(-4))\/(y\/16). Suppose 0 = -5*g - c + 97. Is 6 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 56542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 3*m**4\/7 - 459*m**3\/7 - 927*m**2\/7 - 465*m\/7 = 0.\nAnswer: -1, 0, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -115*c**2*u**3 - 2*c**2*u + 2*c*u**3 - 291*u**2 + 2*u wrt u.\nAnswer: -690*c**2 + 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence redd when four letters picked without replacement from {d: 3, e: 4, r: 2}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2)\/(12*(-13)\/(-936))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a**3 - 243*a**2 - 56*a - 101. Let q be c(61). Solve 199 - q = -5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1.12, -4, 106\/147 in increasing order.\nAnswer: -4, -1.12, 106\/147, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1809181201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 6)*(-2 + 3 + 0)*(17*b + 15*b - 31*b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 1677 divide 786458507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/376 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 1 = -63. List the prime factors of (-1)\/2 + m*14\/8.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - -22011?\nAnswer: 22022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 7:12 PM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -3*x**5 - 906*x**4 - 30615*x**3 - 125976*x**2 + 2895516*x - 5027616 = 0?\nAnswer: -264, -23, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-209)\/76)\/((-3)\/12). Suppose 3*w - 112 = -k*w. What is the remainder when 89 is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -615\/4?\nAnswer: -615\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -4*u + 31. Is (1255\/u)\/((-1)\/(-4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*r + 923 + 292 = 2*r for r.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-5)*(-90)\/(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04 and -12.922.\nAnswer: 0.51688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of 1\/8*o**8 + 0*o**7 + 0 + 0*o**3 - 3*o + 0*o**5 + 0*o**2 + 0*o**6 + 1\/12*o**4. Find the third derivative of d(g) wrt g.\nAnswer: 840*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*m + 35 = 0. Let v = m - -10. Suppose -v + 9 = 2*j. Is j a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15366 times -0.152\nAnswer: -2335.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -2\/13, 4, 0.2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-14)*(y\/((y**23\/y)\/y))\/y)**35)**14 assuming y is positive.\nAnswer: y**(-17150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 279 (c) 0 (d) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 5*p + p + 22 = 0, 3*a - 13 = -p. Solve 5*j - 7 = a for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32)*-6 + 2.\nAnswer: -24*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -c + 2*c - 11, 4*l = -12 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-82)\/41*((-40)\/(-30))\/(4\/54).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*a**2 - 5*a**2 + a**2 - 4*a**2.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-6) - (-23)\/3. Let x = 13 - b. Suppose -5*u - v + 29 = -0*u, 2*u + x*v = 7. Solve -l + u*l - 10 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -3*r**5\/4 + 5709*r**4 - 142317*r**3 + 920403*r**2\/2 + 21505095*r\/4 + 15363675\/2 = 0.\nAnswer: -3, -2, 15, 7587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31132 (base 4) to base 6.\nAnswer: -3554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14736, -60536, -136870, -243738?\nAnswer: -381140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5 = -11. Let a = -13006 + 13003. Is a at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 10:57 PM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1a4734 (base 13) to base 10\nAnswer: -666917","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 100695898697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - d = -9101, -4*l + 5*d = 4*d - 18217. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 955 is divided by 46?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.7 + 26.7. Let t = 3 - y. What is the nearest to t in 0.2, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 629008 is divided by 305.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2 - 10*j - 8. Let t be w(-3). Let q be ((-6)\/t)\/(10\/(-20)). Find the first derivative of -11*v**3 - 5 - 6*v**q + 2 - 15 wrt v.\nAnswer: -51*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 7*y + 24. Let k be l(-3). Suppose k*v - 430 = -5*p, 0 = p - 4*p - 5*v + 274. List the prime factors of p.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 2:36 PM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m**4 - m + 5 + 3*m**4 - 2 + 0*m + m**2 to k + w*m**2 + r*m**4 + o*m + b*m**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, f: 10}. Give prob of sequence ffff.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*s**3*v*x**4 - 12*s**3*v - 3*s**2*x**2 + 448*s*v*x**3 - 4*s*x**2 - 4*v - x**4 wrt x?\nAnswer: -48*s**3*v*x + 2688*s*v - 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*l = 66, 3*f = -2*f + 5*l + 135. Let k be 2\/(-3)*(-9 + f). What is the units digit of 10\/(k\/4 + 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10727, -21775, -32815, -43847, -54871, -65887?\n\"Answer: 4*u**2 - 11060*u + 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -5 + g**3 + 21\/4*g**4 - g**2 + g. Is q(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**5\/7 - 204*k**4\/7 + 26*k**3\/7 + 2628*k**2\/7 - 2448*k\/7 = 0.\nAnswer: -102, -4, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 26 + 1. Suppose 0 = t*m + 34 - 14. Sort m, -5, 1 in decreasing order.\nAnswer: 1, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82470 and 375?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -88306061\/504030 - -1\/100806. Which is bigger: -175 or q?\nAnswer: -175","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*s**3 - s**3 + 3*s**3)*(2 + 3 - 7) to v*s**2 + o*s + m + q*s**3 and give q.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -180423, -180426, -180429, -180432?\nAnswer: -180435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.05 (b) -15 (c) 131\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/3 + 34\/6. Let g = 46 + -44. Let f(x) = -4*x**g + x + 4 + 2*x**3 - x**3 - 8*x. Calculate f(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 50 - 2. Let y(r) = r**2 + 10*r - 19. Let b be y(o). Suppose -2*d + b*p = -335, p + 3 = 4*p. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.004829 rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 3*d - 204, -5*r + 2*d = -0*r - 201. What are the prime factors of r?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) -3614 (b) 2\/5 (c) -1 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, g: 1, k: 3, h: 3, c: 1, u: 1}. Give prob of picking 1 k, 2 t, and 1 u.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3595194 is divided by 202?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 36 - 67 + 33*l + 32 - 32*l - 73*l**2 as i*l**2 + r + g*l and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.48 + -0.22. Let t = p + -3.1. What is t rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k + 16. Let n be u(11). Suppose 3*r - 41 = -2*h, 0 = n*h + 5*r - 79 - 11. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -20, 521, 5, -238 in decreasing order.\nAnswer: 521, 5, -2, -20, -238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 + -0.4478.\nAnswer: -4.4478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -2*s - 16, 4*s - 18 = 5*z - 46. Suppose h = z*h - 30. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75292901.7 rounded to the nearest one thousand?\nAnswer: 75293000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 48505329 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**2 + 2. Let x(h) = -15*h - 152. Let u be x(-10). What is the remainder when i(5) is divided by 6\/u + (-23)\/(-11 - -10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17978 and 6961324.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + q**2 - q. Let i(s) = 2*s**3 + 5*s**2 - 5*s + 1. Let l(o) = -o + 15. Let g be l(8). Suppose 3*w - 20 = g*w. What is w*m(t) + i(t)?\nAnswer: -3*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 2*q + 3. Let y be s(-2). Suppose -3*u = -y*o, 0*o - 2*o - 5*u = 0. Suppose 3*z = -4*g + 158, 5*g + 205 = -o*z + 5*z. Is 23 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4283 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3, -106, -539, 1, 3 in descending order.\nAnswer: 3, 1, -1, -3, -106, -539","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 3, -3*u + 4 = 5*y - 2. Solve -2*f + 9 = -k - 3*f, -y*f = 12 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 10:38 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*l**2 - 94*l**2 - 96*l**2 + 262*l**2 + 100650 - 100650.\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/2480 and 5\/(-100)*(-2338)\/21 - 1.\nAnswer: 7440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000118805674 to seven decimal places.\nAnswer: 0.0001188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 27 = 69. Let t be l\/6 - (-12)\/18. Sort 3\/2, -5, t in ascending order.\nAnswer: -5, 3\/2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 703, 1343, 1983?\nAnswer: 2623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-2)*-2 - (-70)\/21. Let q(y) be the first derivative of j*y**3 - y**2 - 2 + y. Solve q(s) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) -16719 (c) -0.05 (d) -0.0121 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 387\/29 at least as big as 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(3\/15 - (-7)\/(-14)). Let o = 6 - 6. Put t, o, -3 in decreasing order.\nAnswer: t, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 161*f**2 + 56*f - 404. What is the units digit of g(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 22 = 3*l - b, 0 = -4*l + 2*b + 6 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*z - 2*z + 2*j, 2*j - 15 = 5*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/80752 and -25\/575358.\nAnswer: 4602864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(120))\/sqrt(4))\/sqrt(10) + -3 + 2 + sqrt(147) + -1 + -2*(sqrt(147) - (0 + sqrt(147))))**2.\nAnswer: -44*sqrt(3) + 367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 33*p + 133. Let x be u(-7). Let n be 4\/26*(-637)\/x. Solve j = -3*d + 4, -d + 3 = -j - n for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 4) + (0 + 0 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2243870 rounded to the nearest ten thousand?\nAnswer: 2240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-112)*4*5*(-348)\/(-6)\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 6123267*f**2\/2 + 12246537*f + 12 = 0. Calculate f.\nAnswer: -4, -2\/2041089","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 156389 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/((499700\/(-200))\/(-263)).\nAnswer: -16\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = v + 14. Suppose 2*f = 2*b - 18, -v*f - 3 = -5*f. Suppose -b*y + 668 = 68. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 487033188.\nAnswer: 2, 3, 23, 31, 56923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence av when two letters picked without replacement from {a: 2, v: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5 = -1. Let p = 147 - 427\/3. Find the common denominator of p and 23\/(-3) - 2\/s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 13*z + 8. Let v = -235 + 247. Give s(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 76127.45 nanograms?\nAnswer: 0.00000007612745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5*t + 61 = 6, -2*t = 4. Let p = -1197 + l. What is p rounded to the nearest 10?\nAnswer: -1210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -850, -5765, -14748, -27799, -44918, -66105?\n\"Answer: -2034*n**2 + 1187*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2409177?\nAnswer: 3, 803059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190 - 31 - 32 + 2*t - 43 - 55 - 41.\nAnswer: 2*t - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 - 8*x**2 - 6*x - 30. Let u be w(9). Let r = -27 + 32. Suppose -5*v = -r - 5. Which is the nearest to -2\/7? (a) -1\/5 (b) v (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3786 divided by 14?\nAnswer: -1893\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 182 - 38. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8047590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 3*l + 88 = 0, 30 + 52 = 5*t - 3*l. Suppose -4*b = -k + 3697, -t*b - 18485 = -5*k - 20*b. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 478 in decreasing order.\nAnswer: 478, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 773, 781, 791, 803?\n\"Answer: k**2 + 5*k + 767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -2 - -5) + 8 + 1 + 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 351.4372 minutes?\nAnswer: 21086.232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 18 = 4*h, -4*x - h - h - 2 = 0. Let n be ((-20)\/(-6))\/(1\/3). Suppose -4*i + 9*i = n. Which is the closest to i? (a) 3 (b) 2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.03 + -0.05. Let k = n - -1.08. Let g = 0 - -0.2. Which is the second biggest value? (a) g (b) k (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/5 - 48688\/(-895)) + 16\/(-20).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/3)*i)\/(i*i**(1\/34)) assuming i is positive.\nAnswer: i**(65\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -22*d**3 - 2*d**2 - 7*d. Let t(i) = 69*i**3 + 7*i**2 + 21*i. What is 7*j(y) + 2*t(y)?\nAnswer: -16*y**3 - 7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 130126744.4+2\nAnswer: 130126746.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 7*q**2 + 370*q - 4391. Calculate r(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6844.8 - 6845. Sort u, -0.35, -5\/6 in decreasing order.\nAnswer: u, -0.35, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 9:19 AM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -7*x**2 + 2*x. Suppose -n - 3 - 3 = 0. Let t(j) be the third derivative of -j**5\/10 + j**4\/12 - 2*j**2. What is n*t(i) + 5*y(i)?\nAnswer: i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413735 is divided by 1388?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**14))\/(d\/d**(-40))*(d**1*d)**10 assuming d is positive.\nAnswer: d**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.1, 0.12, -4\/73?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 3*n - 15, -26574 + 26598 = v + 7*n for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3518466389 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fl when two letters picked without replacement from mfcccmzmccmclzz?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 691800319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -14*f - 74. Let l be 180\/(-22) - -8 - (-128)\/(-22). Let g be x(l). Solve 12 = -g*t + 13*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15402330 (base 6) to base 14\nAnswer: -1027dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9\/11 in 0.5, 96.97, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11252 divided by 29.\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.4 - 0.6. Let z = 16 + a. Let s = z + -8.000003. Round s to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d**2 + 9*d**2 - 18*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1213100 (base 5) in base 16?\nAnswer: -5974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34732929509 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 0. Let z(a) = -a. Let m be z(k). Suppose 160 = t + m*t. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/45 - (40\/45)\/(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 4047.\nAnswer: 7\/4047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s - 5*r - 30 = -16*s, 0 = -5*r - 15. Suppose -2*x - 4 + 10 = 0. Suppose -s*n = -2*g - 35, 2*n + n + x*g - 15 = 0. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 7 - 17 - 267*r**2 - 543*r**2 to m + i*r**2 + n*r and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -669 (base 11) in base 9?\nAnswer: -1080","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1210330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 1339 divide 1139440277?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1 (b) 114 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/3)*y)\/y)**39*(y*y\/((y*y**3*y)\/y)*y*y)**5 assuming y is positive.\nAnswer: y**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 PM and 2:27 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 80398409 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-6) - 2\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12, 208, 652, 1320, 2212, 3328?\n\"Answer: 112*f**2 - 116*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) + 1 + sqrt(153))*-4)**2.\nAnswer: 192*sqrt(17) + 9808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d*d*d**5*d*d\/(d*d**(-7)))\/(d*d**(-2\/7)*d**(4\/3)*d)*(d\/(d*d**(-1\/4)))**8\/(((d**0*d)\/d)\/d)**(5\/13) assuming d is positive.\nAnswer: d**(4460\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/18 + (-42)\/(-36). Put -5, -4, -18, j in increasing order.\nAnswer: -18, -5, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 15016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3824)\/(-10)*(-115)\/(-46) + -8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 10:49 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 0\/(9\/(-3)). Sort v, 6, -1 in decreasing order.\nAnswer: 6, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -148 - 111 = -13*f + 57 + 74 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6611554681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzyzyzzzyzzz. Give prob of sequence zyzz.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 1\/4, 0.5 in ascending order.\nAnswer: 1\/4, 0.5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s. Let q be r(1). Let l be (-14)\/(-10) + (-12)\/30. Let g be l*2\/q*-1. Solve 0*m - 5*m + 30 = -3*c, -c = g*m - 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.425 times 13?\nAnswer: -18.525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 9*g**2 + 97*g + 2. Let h(w) = -6*w**2 - w + 1. What is 2*h(t) + l(t)?\nAnswer: -3*t**2 + 95*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 197742939?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) - sqrt(117)\/sqrt(3))\/sqrt(3) + (sqrt(13) + 2*sqrt(13) + sqrt(13) + -2)**2 + -5*sqrt(117) + (sqrt(208) + 0)**2.\nAnswer: -31*sqrt(13) + 420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g + 5. Suppose z = -4*w - 23, -6*z + 3*z - 34 = 5*w. Let k(x) = -1. Let o(u) = w*k(u) - c(u). Let q(r) = -88*r. What is q(o(t))?\nAnswer: -88*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3 - p + 5 - 1 - 5*p. Let k be b(-1). Calculate the greatest common divisor of 21 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -98892280 divided by -2472307?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-26) - 50677\/2431?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 966\/114310*(-180)\/54?\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -5 + 0*d**2 + 1 - d**3 + d - 6*d**2. Let q = 454 - 460. Give b(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -783014*m**4 + 522719?\nAnswer: -3132056*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 8 + -8 + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/38 - 0)*-16. Let u = 169\/133 - w. What is the second biggest value in u, 4, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -60, -121, -180, -237, -292, -345?\n\"Answer: j**2 - 64*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 12 = -45. Suppose 0*w + 532 = 4*w. What is the greatest common factor of w and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -183 + 178. Let w = -5 + 2. Which is the third smallest value? (a) w (b) v (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 2 = 2*f, -2*f + 11 = 17 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - m. Let c(h) = 16*h**3 - 20*h. Give c(i) - 20*v(i).\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 n when three letters picked without replacement from {h: 1, n: 2, d: 4, y: 1}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -7*s**4\/12 - 5*s**3 - 4*s**2 - 18*s. Let n(t) = 0. Calculate t.\nAnswer: -4, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**3 - 441360*d**2 + 15443925*d = 0.\nAnswer: 0, 35, 147085","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -498427*f = -497988*f - 12731 for f.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -7. Let l(g) = -n - 7*g + 5 + 3*g. Give l(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h - h - 4*h + (h + 2*h - 2*h)*(-6 - 14 - 3) - h - 2*h + 10*h to the form b*h + g and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*c = -22*c - 70. Suppose 187 - c = 12*p. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -103*w. Let u(a) = -63*a**2. Calculate z(u(c)).\nAnswer: 6489*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f**2 + 14*f + 11. Let u = 79 + -70. What are the prime factors of r(u)?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3621 + -3621.7. Sort w, -3, 2, -1\/5.\nAnswer: -3, w, -1\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 480 = -h. Let a be (1\/(-4))\/(8\/h). Suppose -5*q + a*s + 141 = 2*s, 0 = 3*q + 5*s - 79. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 15*g**2 - 20*g + 6. Let s(x) = -3*x**2 - 3*x + 4. Let o be s(-3). Let i be q(o). What is the highest common factor of i and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 0*f - f + f + 3*f. Is 9 a factor of d(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00013971 rounded to 5 decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-4))\/((-10)\/(-40)). Find the first derivative of 353 + 15*i**2 - 368 + 2*i**f wrt i.\nAnswer: 34*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 46519?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140 and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -81 + 15. Let o = l - -59. Which is greater: -0.1 or o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 4*w = -f, -4*f - 5*w - 27 = 0. Let t be 0\/(f + -2 + 4). Suppose -v - 1190 = -3*m, m + 2*v - 462 + 77 = t. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8499*c - 139434 + 365319 + 931740 = -6936*c for c.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/sqrt(3) + -5)**2 + ((-2 + sqrt(11))*1)**2.\nAnswer: -14*sqrt(11) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2 = 0, 4*t - 5*q + 16 = 5*t. Suppose 0 = -4*p, 5*n = 7*n - 5*p - 8. Let i be (-8)\/(-5) + (-2)\/(-5). Solve i*s + n + t = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -69 - -249. Calculate the greatest common factor of 45 and i.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s - 2007 + 2371 = 0. Sort 4, 9, s in descending order.\nAnswer: s, 9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1336436?\nAnswer: 2, 29, 41, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (285\/(-2))\/(1*3\/(-4)) is divided by 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (0 + (9 - 8) + 2 + -3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 158663525?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -108, 0, 5, -2313 in increasing order.\nAnswer: -2313, -108, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 460 divide 1781771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17253392603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yus when three letters picked without replacement from yruouuoysunrurrooyy.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(700) - sqrt(7)) + -1 + (1*(sqrt(7) + 2)*4)**2.\nAnswer: 33*sqrt(7) + 175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzpppz. What is prob of picking 1 p and 3 z?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bym when three letters picked without replacement from {f: 3, z: 2, b: 1, m: 1, y: 5}.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.785372 to 0 dps.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m - 2. Let v be c(3). Suppose -10 = 2*i, 2*i - 303 + 108 = -5*p. Suppose -7*w = -p - v. Is 5 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19635564?\nAnswer: 2, 3, 13, 191, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 62878?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1383873 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 85\/(-68) - (-1 - 241\/4). Let n(h) = -5*h**2 + 5 + 1 + 6*h**2. Let b be n(0). What is the greatest common factor of b and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 0*p + 0*p)*(62*p**4 + p**4 + 100*p**4).\nAnswer: -163*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.86 - -2.868. Put s, -2, 0.1, 1\/4 in increasing order.\nAnswer: -2, s, 0.1, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302434554611 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of v**4\/4 + 7*v**3\/3 - 45*v**2\/2 + 8*v - 391. What is y(-11)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*m**4 - 40*m**3 - 5*m**2 + 70*m - 40 = 0. Calculate m.\nAnswer: -4\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/15030 or -1?\nAnswer: -1\/15030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20598322?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*u**2 - 5*u**2 + 13*u**2 + 6*u**2.\nAnswer: 20*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/6*l**4 - 864 - 73\/3*l**3 - 5473\/6*l**2 - 1752*l = 0 for l.\nAnswer: -72, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*a**3 - 24*a**3 - 114*a**3.\nAnswer: -224*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -13. Suppose -a*u + 680 = u. Suppose -8*g + u + 59 = 0. Calculate the remainder when 31 is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -2*w - 9, -w - 34*a - 9 = -38*a for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-24))\/((-2)\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5816.20813 - 2\nAnswer: -5818.20813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.94 - -16.57567?\nAnswer: 20.51567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-105)\/(-25))*(-7 - -10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.695771 weeks in microseconds?\nAnswer: 5864002300800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a hour in minutes?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -280 + 464. Let a = k - 208.75. Let n = 0.05 - a. What is n rounded to zero dps?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 39 + 4 = 3*o, 26*s + o = 30*s - 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 75\/4 of a micrometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3163 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/3221175 and -71\/19575.\nAnswer: 28990575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1))**(21\/8))**(1\/9)\/(((d*d*d**(-4))\/(d**0*d))\/(d**(-2)\/(d\/(d*d**(1\/5)*d)))) assuming d is positive.\nAnswer: d**(229\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -8. Let k = 17 - 15. Solve b - q = -k for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*25.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 13*n**2 + 4*n + 5. Suppose -3*w = 27*b - 23*b + 14, 5*b = -10. What is x(w)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.3782463 to 1 decimal place.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 14*x**2 + 11*x - 6. Let r be g(-13). Let p = r - 11. Is -1 <= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 + -9fc58?\nAnswer: -9fc55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 3*h + 13. Let g be f(-5). Suppose 272 = -6*j + 8*j - k, -4*j + 542 = -g*k. Calculate the remainder when j is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1\/28)*a**(3\/19))**(3\/28) assuming a is positive.\nAnswer: a**(1791\/14896)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + sqrt(704) + -2 + sqrt(704) + -1)**2 - (-4*sqrt(1100)*-1)**2.\nAnswer: -11255 - 144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211 = 6*k - 1487. Suppose j - k = -n - n, 4*n + 307 = j. Suppose -j + 807 = -6*x. What is x rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -81 in 18.07, -0.5, 1, 4\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19049.2 plus -4?\nAnswer: 19045.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*i + 21. Suppose -2*v = -i + 3. Calculate the remainder when 4 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -6*sqrt(55)\/sqrt(5))*5.\nAnswer: -30*sqrt(11) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 49471, 49492, 49525, 49576, 49651, 49756?\n\"Answer: v**3 + 14*v + 49456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*(-4)\/8 - 42. Let n = d - -51. Suppose -3*r + 12 = -2*y, -39 = -3*r - 5*y - n. Solve 0 = -4*a + r - 22 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + 12 + (-7 - -14) + -7 + -1.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d + 8*d - d - 10*d + 3*d. Let l(r) = -21*r - 4. Determine h(l(p)).\nAnswer: 21*p + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y + 81. Let d(a) = -16*a - 450. Let v(g) = 2*d(g) + 11*n(g). Give v(-8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82 * -1147\nAnswer: -94054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/(-9)*(-5076)\/(-987)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 6:13 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 3\/13387?\nAnswer: 3\/13387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 12*b**2 + 15*b - 22. Let t be c(13). Let m be ((-1)\/(-4)*10)\/(2\/t). What is the nearest to 0.2 in 1, m, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 l when three letters picked without replacement from {d: 3, l: 8}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*k + 5, -5*x - 15 = -4*k + 17. Suppose 3*t = 2*g - 39, 0*g + k*t = g - 24. Is g > 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 0.1717334?\nAnswer: 0.0858667","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7541007*q**5 + 364516*q - 10 wrt q?\nAnswer: -150820140*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -27*i**2 + i**3 + 18*i**2 + 2*i**3 + 22 + 12*i - 4*i**3. Let u be v(-10). Suppose 0 = u*p + 1 - 5. Solve 1 + 3 = -p*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 17749930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12228061 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2571 and 0.04568?\nAnswer: 117.44328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 2)*(763 - 367 - 351)*(0*p**2 + 0*p**2 + 3*p**3).\nAnswer: 135*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 71851.5078 rounded to the nearest one hundred?\nAnswer: 71900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86279493 is divided by 545?\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 1. Let r(i) be the third derivative of -1\/12*i**4 + 0 + 0*i + 0*i**3 + 33*i**2. Determine 2*n(c) + r(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**4 + 12*b**3 + 6*b**2 + 8*b + 4. Let p(t) = -681*t**3 - t + 682*t**3 + 1 - t**2 + 2*t. Let v(d) = n(d) - 4*p(d). Factor v(q).\nAnswer: 2*q*(q + 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 - (255 + -249 - (-1 - -42)).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/(-96)*24\/(-54)*-1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 5*l - 3. Let z(d) = d**3 - 7*d**2 + 7*d - 13. Let n be z(6). Let v be o(n). Let f be 95\/v*4\/(-10). Is 2\/55 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -123*f + 123*f + 420*f**4 + (-2*f**3 + 2*f - 2*f)*(-3*f + 2*f + 0*f) in the form p + l*f**3 + i*f**2 + j*f**4 + h*f and give j.\nAnswer: 422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2942*q**5 - 3613*q wrt q?\nAnswer: -58840*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = -10*k + 3*y, -15 = 22*k - 27*k - y for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -7, -294 in descending order.\nAnswer: 0, -7, -294","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 38270421*a**4 - 36*a**2 + 3*a - 36104?\nAnswer: 918490104*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55908, 112937, 169968, 227001?\nAnswer: 284036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 362823160 a multiple of 1855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -381, -818, -1247, -1668, -2081?\nAnswer: -2486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - j - 38 = -83, 11*j + 15 = 4*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Is 364999577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 360*q + 89 = -140*q + 1380 - 7291 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13611583 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1200444 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -174 + -34. Let s = 291 + h. Let u = s - 79. Solve -3 = b - u for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-20))\/((-3)\/60). Suppose 12*a - y*a - 232 = 0. Does 29 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17.073 - -0.073. Let n = -13 - q. What is the second smallest value in 1\/2, -0.2, n, 1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 2*l**2 - 2*l + 4. What is p(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 2*s + 4. Let n be (4 + -2)\/((-2)\/(-4)). Let r be i(n). Suppose -q + r = q. Calculate the lowest common multiple of 10 and q.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4 = o + 757, -5*w = 2*o + 1467. Let a = o + 746. Solve b - 4*j = 11, 2*j - j + 4 = a for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-5)\/2)\/(24\/(-48)). Let h be (7 - 6)\/((-1)\/(-5)). Suppose 0 = -23*g + 83 - 37. Solve g*b + x*f + h = 7*b, 5*b - 13 = -3*f for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 w when four letters picked without replacement from {w: 2, t: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -131, 5, -1, 541, 0, 2, 3.\nAnswer: -131, -1, 0, 2, 3, 5, 541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4254278.3 rounded to the nearest one hundred thousand?\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 31 + 89?\nAnswer: ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4122 and 16937676?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 6*r**2 - 7*r - 12. Let d be c(-6). Let p = 53 + -18. What is the remainder when p is divided by d*((-144)\/(-27) - 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19743767 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 33*j - 1623. Determine w(27).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/5*1)\/(22*(-33)\/76230).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1174641 (base 9) in base 2?\nAnswer: 10011100001101110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b. Let o = -92 + 108. Let x be (6\/(-8) - -3)*o\/12. Let j(k) = 20*k + x - 18*k - 2. Give j(g(y)).\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 511 and -218.\nAnswer: -111398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 13 + 4 + 54*s - 8*s.\nAnswer: 46*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*x - 285 = 37*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + s + 2)*(-698 - 249 - 415)*(-3 + 18 - 5 + 20 + 11).\nAnswer: -55842*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 779794605?\nAnswer: 3, 5, 127, 136447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 17 - 64. List the prime factors of o.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(2 - 1)*17\/(-34). Which is the closest to -0.1? (a) k (b) 0.21 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-10)*s*((s*s*s**(-7)*s)\/s)\/s)\/(s**(-2))**48 assuming s is positive.\nAnswer: s**81","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/1*2024\/379500.\nAnswer: -2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*z - 42*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**4 + 20*f**3 + 76*f**2 + 96*f - 455. Suppose p(g) = 0. What is g?\nAnswer: -12, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*i = 0, -3*u - i - 3 = 0. Let q = 10985 - 10985. Suppose -2 - 2 = -2*s. Put u, q, s in descending order.\nAnswer: s, q, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 - -2. Let y = l - 15. What is the lowest common multiple of y and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 697 divide 68141508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 27086541 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2409\/(-3465) + ((-144)\/(-40) - 3).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h**3 + 8*h + 16*h**2 - 8*h - 30*h**3 + 2*h**4 - 14*h**2 to the form p*h + m*h**4 + v*h**2 + f + j*h**3 and give j.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 863 and 228258322.\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -12. Let z(g) = -g**3 + 5*g**2 + 6*g - 8. Let b be z(6). Let k be (-2)\/(-1) - (-18)\/b. What is the closest to k in y, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 AM and 12:14 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -422.90097\nAnswer: -845.80194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1*sqrt(1573) + sqrt(1573))**2 + ((sqrt(1573) + sqrt(1573) + -2 + sqrt(1573) - sqrt(1573))*3)**2 + 2 + -2.\nAnswer: -792*sqrt(13) + 62961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 402\/505 + 2\/505. Suppose 0 = f - 5*z + 14, -2*z + 0*z = -5*f - 47. Let p = -4 - f. Put p, -5, a in decreasing order.\nAnswer: p, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (242\/4)\/((15\/320)\/((-252)\/2688))?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00421140251 rounded to 4 decimal places?\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*b - 41*b - 3*n - 8243 = 0, 30 = -5*n. Sort -2\/7, 0.3, b in descending order.\nAnswer: b, 0.3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the third derivative of 1\/420*d**6 + 0 + 0*d**5 - 1\/84*d**4 - 2*d**2 + 0*d**3 + 0*d. Factor c(s).\nAnswer: 2*s*(s - 1)*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-14) - (-36)\/21. Let i(t) = 1 - 4*t**x - 3*t**3 + t**2 + 5*t - 3*t + 5*t**2. Calculate i(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 33*u - 37*u - s + 16, 0 = 4*u - 3*s for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 - -23 - (-1 - 16).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/5, -0.3, 25\/3, 142.6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46 - -45.97. Let k = -6.03 - u. Sort k, -1\/6, 1 in decreasing order.\nAnswer: 1, -1\/6, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 5*i = 15, -w + 2*i = -2*w + 12. Solve 3*v + v + 3*q = 19, -v + w*q - 9 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.03, 1446, -2, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -2*v + 64*v**2 - 26*v**2 - 40*v**2. Let a(j) = -j**2. Give 6*a(h) - g(h).\nAnswer: -4*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*((-6)\/(-2) + 0). Let w(z) = -2 + 2*z**2 + 14 - n*z**2 - 1 - 5*z. Let u be w(-8). What is u rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (192390\/8)\/((-2)\/(-8)). Let q = 27438 - 75633. Let j = i + q. What is j rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249631 is divided by 83201.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.4 and -11038.925 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.05 - 573.15. Let m = r + 554. What is m rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3 - 3*p + 2*p - 1 + 3*p. Let h be q(12). Suppose -64 = -2*s + 5*a, h = 3*a - 8*a. List the prime factors of s.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1301027793 to the nearest integer?\nAnswer: 36070","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 1 = 6*a - f, 0 = -2*a - 2*f + 14. Let p(k) = -3*k + 35. Let w be p(12). Sort -2, a, w in ascending order.\nAnswer: -2, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 4*u + 4*u)*(405*u**4 + 187*u**4 + 60*u**4 + 132*u**4 + 273*u**4).\nAnswer: 2114*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*l**5 - 3*l**3*r**3 - 2*l**3*r - 209*l**2*r**2 - l*r**3 wrt l.\nAnswer: 660*l**2 - 18*r**3 - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 2:44 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 45272*s - 51 + 4*s**2 - 3*s**2 - 45271*s. Give v(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-513)\/228*2*-1*2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 6 - 0, 112*a - 111*a - 2 = -2*f for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*d**3 + 8195*d**2 - 24909 wrt d.\nAnswer: 6*d**2 + 16390*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*l - 19 = -2*p - 39*l, 0 = -p - 2*l + 12 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 2*v - 1, 4*v + 6*c = 2*c - 4 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4 = 8*n - 5*n, -2*n - 3*z - 10 = 0. Let d be ((-15)\/(-110)*n)\/((-6)\/(-4)). Sort 3, -2, d, 1\/10 in ascending order.\nAnswer: -2, d, 1\/10, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 718725503?\nAnswer: 1559, 461017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*h**3*k + 154029*h**3 - 4*h**2*k + 6*h**2 + 446654026*h*k wrt h?\nAnswer: -72*h*k + 924174*h - 8*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*2*20\/32*(1566\/60)\/29.\nAnswer: 45\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*a = 2*g + 26*a + 77, -g - 61 = 4*a for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*q = 64*q, 5*q + 4 = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -221*s**8\/56 + 35*s**4\/2 + 31*s. Find the third derivative of n(d) wrt d.\nAnswer: -26520*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 452*c - 166 + 5347*c - 168 + 334.\nAnswer: 5799*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 32 = 2*d, d - 4*u - 11 - 14 = 0. What is the greatest common divisor of d and 78?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3 or 6\/2705?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*z = -8*z + 40, -3*z + 31 = 4*w. Suppose 0 = -4*q - a + 5, -a = 4*q + 2*a + 1. Solve -20 = q*i - w*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1520 = 7*m - 26*m. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 4*t + 0*t)*(-1326*t**2 - 4 - 12 + 1347*t**2).\nAnswer: -42*t**3 + 32*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17819 + -17812. Solve 0 = b + w + 2 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a**3 - 5*a**2 - 3*a + 48. Let w(o) = -o**3 - o**2 - o + 1. Let d(r) = c(r) - 4*w(r). What are the prime factors of d(0)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 330 - 30121233030?\nAnswer: -30121232100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = -2*d - 5*r, -12215*d = -12210*d + 5*r - 55 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 2*g**5\/5 - 68*g**4\/5 + 494*g**3\/5 + 1644*g**2\/5 - 2808*g\/5 - 3888\/5 = 0?\nAnswer: -3, -1, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 556766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23055 is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*(sqrt(2) + -3*2*sqrt(2))**2 + -5 + (-2*(sqrt(1800) - sqrt(1800)*4))**2.\nAnswer: 64848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**2 + 17*h - 6*h - 2*h**2 - 11*h.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177966017 is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 4*i - 9 = 21, x - 5*i - 9 = 0. What is the tens digit of 2*((2 - 3207\/x) + -6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 10 = 5*m. Let x(d) = -148*d - 2. Let a be x(m). Let b = -88 - a. What is b rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 3*k - 189397 = 0, a - 37881 = -57*k + 56*k. List the prime factors of a.\nAnswer: 2, 5, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1101 (base 2) to base 8\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 153587648663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 3:02 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 161, 630, 1415, 2516, 3933?\nAnswer: 5666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 80016 smaller than 80019?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 - -74?\nAnswer: 7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14389232 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 125484 divided by -12?\nAnswer: -10457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/5*t**3 - 18\/5*t**2 + 16\/5 - 4\/5*t + 2\/5*t**4 = 0. What is t?\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 9:06 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20714112 by -64.\nAnswer: 323658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 - 15*a - 2*a**2 + 20 + a**2 - 3*a**2.\nAnswer: -5*(a - 1)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*m = 23 - 137, 2*m = 2*x + 54. Let v be x*(4 + (4 - 7)). Let c = v + 48. Does 6 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 646*j**2 + 21*j - 46. Determine d(0).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(2) + sqrt(2) + (sqrt(128))**2 + sqrt(20)\/((-2*sqrt(80) + sqrt(80))\/sqrt(8)) + ((-1 + sqrt(200))*-3 - 3*(sqrt(2) + 0)*1)**2.\nAnswer: -197*sqrt(2) + 2318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2350*z**3 - 7040*z**3 + 12*z**2 + 2348*z**3 + 2346*z**3 - 12*z**2.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -151 + 149.7. Let l = t - -0.8. Let y = 8 - 8. Which is the third biggest value? (a) -0.1 (b) l (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 7.06. Let c = -0.060018 + s. Round c to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17047257.\nAnswer: 3, 5682419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 2*o - g, o - 4*g = 3 - 19. Let w = o + 28. What is the highest common divisor of w and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 178 + -18. Let m be (-3)\/((-30)\/4)*n\/384. What is the third biggest value in m, -2, 3\/56?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 17*q*w**3 - 2*q*w**2 + 61*q + 11299*w**3 + 4055 wrt w.\nAnswer: 51*q*w**2 - 4*q*w + 33897*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 651300 to the nearest ten thousand.\nAnswer: 650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2332443 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-360)\/(-15))\/(((-40)\/4)\/(-5))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 316 + -209. Suppose s = 4*u - f, 3*u + 0*s = 5*s + 76. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5627, -11254, -16881, -22508?\n\"Answer: -5627*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 20 - 14, 2*p - 424 = -5*l. Let t be 1\/(-1*3\/144). Let b = t + l. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-3\/11)*n*n\/n**(-1\/14)*n**(-2\/19)\/n**(11\/2) assuming n is positive.\nAnswer: n**(-4106\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 7*t)*(2585 + 592*t - 2585).\nAnswer: 4144*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(931) + sqrt(931) + 3)*-4)**2 - -6*-2*sqrt(931))*5.\nAnswer: 6300*sqrt(19) + 298640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01783951762 rounded to six decimal places?\nAnswer: -0.01784","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, z: 7}. What is prob of picking 1 z and 3 q?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 3 + 29*y - 28*y - 1 + 4*y**2. Let x be i(3). Suppose -r - x = -28. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.28 - 50.12. Let c = g - -60. What is c rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -15*v**3 - 11*v + 3. Let x(h) = -7*h**3 - 5*h + 1. Let f(d) = -d**2 + 2*d - 6. Let j be f(0). Give j*q(z) + 13*x(z).\nAnswer: -z**3 + z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4991606.\nAnswer: 2, 2495803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 3*x - 4. Let k be u(5). Let v(g) be the second derivative of 0 - 2*g - 7\/6*g**3 + 1\/12*g**4 + 3\/2*g**2. Calculate v(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**4\/19 + 82*l**3\/19 + 42*l**2\/19 - 24138*l\/19 + 69984\/19 = 0. Calculate l.\nAnswer: -16, 3, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(475) + (sqrt(475) + 1 + 1 - sqrt(475)))*1 + 4*(sqrt(475) - (sqrt(475) + sqrt(475) + 2 + sqrt(475) + 2 + sqrt(475))))**2*-3 + 1.\nAnswer: -173012 - 4620*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 + (-104 + 53 - 142)?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 43\/4 of a year?\nAnswer: 129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/682 and 83\/9548.\nAnswer: 9548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 25\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mqqq when four letters picked without replacement from qqmqqqmqqqmqqqqqqm.\nAnswer: 91\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4222*b**3 - 3*b**2 + 10856*b + 2.\nAnswer: -25332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 8*i**2 + 3*i + 4. Let b be r(-10). Is b\/18 - (-2)\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 129 - 127. Solve -2 = a*o, 5*l + 5*o = -9 - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 33208534*x**4 + 39904785 wrt x?\nAnswer: 132834136*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 15392 = h, 9*h - 8*h = -2*g + 15395. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -2. Suppose -m*a + 15 = 5. Suppose -3 - 2 = 2*i - 3*p, a*p - 9 = 3*i. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 8:15 AM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 61.8 + -18. Let u = c - -13.2. Let k = 57.0016 - u. What is k rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/(-6)*(-9)\/6. Let s = r + 8. Let o(p) = p**2 + 51*p + 238. Calculate the remainder when o(-5) is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 4*i - 2. Determine o(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (0 + 3\/1))\/(68\/(-1088))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-156*l**2 - 2*l**3 - 2 + 3*l**3 + 208*l**2)*(-2 - 1 + 5) in the form b*l**2 + z*l + k*l**3 + a and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 442273*2.\nAnswer: 884546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3, -3*j - 25 = -7*j - 5*n. Let x = j - 3. Let p(h) = -4*h**2 + 4*h**2 - x*h**2. Let l(v) = -3*v**2. What is p(l(c))?\nAnswer: -18*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a millisecond in microseconds?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3*v = 0, 0*p - 4*p - 28 = -3*v. Let m(q) = q + 4. Let u be m(p). Suppose -5*b = s + 2, 4*s + 2*b + 3*b - 7 = u. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 6*t + 1. Suppose -1 = -4*s + 3. Calculate the smallest common multiple of j(1) and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1012 divided by -11\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 2 s when four letters picked without replacement from syygsyydg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 30141 = 5*j, 22607 = 3*v + 6*j - j. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/5*(-1 - 12). Suppose k - 1 = -3*f, -4*z + f = -20. Solve z*x - 2*x = -10 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.088 + -0.312. What is the third smallest value in y, 0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1365 = 32*w + 1109. Solve 579*k = 575*k + w for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49.38 - 0.38. Let b = -49 + d. What is the closest to b in -0.3, -2, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -58*(-2)\/4 + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/1305, 62, -2\/3, -3, -2, -3\/7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4952492 divided by -2.\nAnswer: -2476246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l**2 - 10*l**2 + 7*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 6 + 8 + -5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 291 divide 2172521?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1160*l**2 - 1436*l**2 + 2669*l**2.\nAnswer: 73*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -6*h**2 + 5*h + 105. What is w(0)?\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l = 5*l - 75. Let z = -10782 + 10756. Is l smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**2. Let m(u) = -51*u. Suppose 0 = -w + 23 + 4. Let a(q) = 4*q. Let f(k) = w*a(k) + 2*m(k). What is v(f(z))?\nAnswer: -72*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-1 + -2 - 0). Let g = 4 - 3. Sort -4, g, i.\nAnswer: -4, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4183 and 12706797.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1)\/m**(-1\/2))**(6\/17)*(m*(m**(-1\/5)\/m)\/m)\/m*m**(-3)\/m*m\/(m**(-2\/3)*m)*(m\/m**(2\/3)*m)\/m assuming m is positive.\nAnswer: m**(-457\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(14) - (sqrt(14) - sqrt(70)\/sqrt(5)))*-2 - sqrt(14))\/sqrt(7) - (-3 + sqrt(32) + 3))**2.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2002 or -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48060 and 740.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -17 (b) 0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 12\/9)*3702\/(-4). Suppose -3*l + a = 118. Suppose l = 4*v - v. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(1 + 2)\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmkmmkmmmmkkkmmm. Give prob of picking 2 m.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.024 - 20.976. Let d = 22 + h. Which is the nearest to 1\/9? (a) d (b) 0.3 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + -1. Let z = -9 - w. Suppose 0 = 113*u - 547 + 999. Which is the second biggest value? (a) u (b) z (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0683 + 388.0683. Let i = -388.2 + j. What is the closest to -5 in -1\/2, -3, i, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*u + 7. What is the smallest common multiple of 9 and (-6)\/u + (0 - -3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of j**3\/6 - 2*j - 43. Let p(w) = -59*w - 1. Determine p(o(s)).\nAnswer: -59*s - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30935 - 112011 = -3732*y + 239876 for y.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6641 + 6640.6. Let u = -3 - -3. Let y = 0.5 + u. What is the nearest to 0 in -0.2, l, y?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4338 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 21\/3692?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.62812 tonnes to kilograms.\nAnswer: 89628.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29129 + -12306. Let o = 41388.9904 + k. Let x = o + 46. Round x to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26435 and 0.14.\nAnswer: -3700.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 5*x**2 + 4. Suppose 3*d = 2*d + 2. Suppose 3*m - d*q + 6 + 5 = 0, -3*q - 1 = -m. What is the units digit of f(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -8*p + 2 - 9*p + 0. Let r be (-3)\/(3 + 3\/(-2)). Let n be k(r). What is the greatest common divisor of 4 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2915 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*p - 170*p - 29 = -56*p - 55*p + 4*a, 0 = -2*a - 10 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y - 54. Let o be g(20). Let v be 32\/48*o\/4. Is 1*(-2 - -1) + v + 631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 5:57 AM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26.082 - 26.252. What is the closest to -3\/7 in u, 0.4, 3\/7, 1\/27?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11101010110 (base 3) in base 5?\nAnswer: 10223430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + (-1043)\/(-63) + -7?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggsggsg. What is prob of sequence sg?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 706 + -3531\/5. Sort -1, q, 2, 0.\nAnswer: -1, q, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2365 + -703. What is the remainder when c is divided by 104?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/3)\/((-6)\/9). Is z\/6 + (600\/9 - 2) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s**2. Let b(t) = -29877*t**2. Determine b(w(l)).\nAnswer: -268893*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**2 - 46*x - 13. What is the remainder when 105 is divided by m(16)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of m**5\/60 - 41*m**2. Let q(i) = -131*i**2. Calculate q(f(k)).\nAnswer: -131*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/90 and -41\/117?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 9*u + 147. Let j(q) = 65*q + 1031. Calculate 2*j(g) - 15*l(g).\nAnswer: -5*g - 143","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 183 divide 14 - (7436\/(-4))\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, -12, 0.16, -1, -0.08 in ascending order.\nAnswer: -12, -1, -0.08, 1\/7, 0.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -7*p + 143. Suppose 2*s = 13*b - 11*b - 32, -84 = -5*b + 3*s. Let m be n(b). What is the highest common factor of 323 and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*s - 3. Let b = 814 + -486. Suppose -88 = s*n - b. Round n to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -120\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k. Suppose 4*i - 28 = 32. Let j(r) = -9*r**2 - i*r**2 - 13*r**2. Give j(q(w)).\nAnswer: -37*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-4))\/(40\/16). Put -3, k, 0.08 in descending order.\nAnswer: k, 0.08, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 568*k - 572*k + 2*t, -4*k + 5*t - 34 = 0. Is -270\/41 less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dvffdjxvjdvdvffvvdfj. Give prob of sequence dv.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 3.7. Let v = 54884\/13 + -4222. Which is the fourth smallest value? (a) 3\/5 (b) 2 (c) k (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 197712, 197204, 196700, 196200, 195704?\n\"Answer: 2*h**2 - 514*h + 198224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 2*y**2 - y + 2. Let d be j(-2). Is -4 - (-21)\/9*60\/d a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*z - 16, 0 = -5*y - 5*z + 125. Solve -3*h + 8*h = -y for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*z - 3*g + 5*g, 2*z - 2 = 2*g. Let c be z\/(-4*(-1)\/100). Let x = c - 16. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.41428 + -9.\nAnswer: -7.58572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1308840)\/(-58730))\/((-26)\/(-14))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**3 - m**2 + m**2 - 2*m**3 - 4*m**3 + 4*m**3 + (0*m + 0*m + 2*m**3)*(21 - 55 - 19) as j*m + x + g*m**3 + h*m**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 31 = 2*o + 3*o, -5*f + o = -25. Let y be f\/(-4)*52\/(-39). Suppose 0*m = -y*m + 134. Is m a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o. Let b be 35\/(-28) - (-6)\/(-8). Let a(x) = -2. Let r(c) = b*a(c) - 2*h(c). Is r(-6) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 1\/6, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*g**2)*(-18 + 16*g - 3*g - 7*g) + g**3 - 3 + 3.\nAnswer: -11*g**3 + 36*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 81 - 76. Suppose -308 = -k*r - 6*r. Calculate the smallest common multiple of 8 and r.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a millennium in decades?\nAnswer: 1850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oojnjjvnj. What is prob of sequence joj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -45*v**4 + v**3 - 3*v**2 + 143*v + 1692108?\nAnswer: -180*v**3 + 3*v**2 - 6*v + 143","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggrgggggrg. Give prob of sequence rg.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17286 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 3*k - 4. Let o be z(-9). Let b = -67 + o. What are the prime factors of b?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -361421, -722863, -1084305, -1445747, -1807189, -2168631?\nAnswer: -2530073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*o**3\/8 + 72483*o**2\/4 + 437779197*o\/2 - 437851683 = 0. What is o?\nAnswer: -24162, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 6, i: 2, l: 1, j: 3}. What is prob of picking 1 v, 1 l, and 2 i?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 861024017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-15936)\/8632*234\/(-8)\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*c + 2 + (-122 + 35 - 20)*(-1 + 5 - 3)*(-5 + 2 + 4)*(1906 - 1906 - 79*c).\nAnswer: 8455*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*q - 14. Suppose -3*z + 18 = w, -2*z + w - 3*w = -16. Let d = q - z. Solve -d*n + 7*n = -20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 116931, 116918, 116905, 116892, 116879, 116866?\nAnswer: 116853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29 + 38. Let v(u) = 2*u - 15. Let l be v(f). Suppose 182 = 5*h - c, -2*h - l*c = -6*h + 139. What are the prime factors of h?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -s - 15. Suppose -z = 4*y - 29, -2*z = s*y - 4 - 14. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 5*u = 10, -5*o + 8 = -5*u - 12. What is the derivative of -4*k**3 - 13 + 6*k**3 + 11*k + 8*k - 4*k**o wrt k?\nAnswer: -6*k**2 + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1368\/56)\/9 - 3\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 11*t + 7*t = 21*t + 41, 45*t = 3*f + 40*t + 33 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (256\/(-896))\/(((-2)\/8)\/((-7)\/76)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cj when two letters picked without replacement from {c: 1, l: 1, j: 2, e: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.8 take away 20103147?\nAnswer: -20103144.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*f + f + 0*f)*(-8 - f - 2*f + 10)*(3 + 99 + 84) + 8*f**2 - 17*f**2 + 12*f**2 in the form i*f + p + s*f**2 and give s.\nAnswer: -1671","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -n - 9*n + 4*n + 3*n in the form a*n + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 387 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67390596?\nAnswer: 2, 3, 7, 13, 6857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of r**3 + r**2\/2 + 5*r + 4. Calculate the lowest common multiple of 21 and g(4).\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 488287188 and 20984?\nAnswer: 10492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 3*d - d)*((d - 2 + 2)*(4 - 4 - 3*d) - 718*d + 718*d - 255*d**2).\nAnswer: -258*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4739*a**2 + 30781*a**2 + 12144*a**2)*(-a - 2*a**3 + a**3 - a**3).\nAnswer: -76372*a**5 - 38186*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/23 (b) -0.73 (c) -0.1 (d) -1\/8 (e) 3.94 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6315 + -6313. Let q(l) = 2*l**2 - 2*l - 1. Let m be q(2). Solve 3*n - o*n - 26 = -5*a, m*n - a + 2 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6093844?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 649527*t**4*z + 16*t**2 - 2*z + 1872131 wrt t.\nAnswer: 2598108*t**3*z + 32*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a century?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*y - 3*w + 17, y - 9 = -4*w. Is 14 > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 8974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 + (-1 - (33 - 32) - (2 + -3)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-4))\/(w**(-4\/19)*w*w) assuming w is positive.\nAnswer: w**(-91\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 320242344 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 6*z + 174. Let s be d(-29). Let w(p) be the first derivative of s*p + p**2 - 5 + 0*p**3 - 7\/4*p**4. What is the second derivative of w(m) wrt m?\nAnswer: -42*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x*x*x*((x\/x**(31\/4))\/x)\/x*x)\/x)\/(x\/(x\/(x*x**(6\/5)\/x)))*(x**20)**(-45) assuming x is positive.\nAnswer: x**(-18099\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 27017?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 168.78685 and -0.4.\nAnswer: 168.38685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.0187, 0.4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 36 = -30. Suppose u*i - 4*s - 20 = 0, 4*s = -0*i + 3*i - 28. Solve 0 = -5*b + b - i for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 7067997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43354 or 43636?\nAnswer: 43354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 z, and 1 w when four letters picked without replacement from {w: 3, a: 4, b: 1, z: 6, c: 2}?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59289300 divided by -15.\nAnswer: -3952620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -985?\nAnswer: 2955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(700) + 1) + (sqrt(700) - (sqrt(700) + (sqrt(700) - sqrt(700)*-3*5) + sqrt(700)) - sqrt(700)) + sqrt(700))*-4 + 0)**2.\nAnswer: -21120*sqrt(7) + 1355776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*q - 24*q + 6032. Suppose -18*x + 194 = q. Solve 0 = x*g + 2*p + 9 + 14, 2*p + 20 = -4*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6624*x - 14329*x + 6737*x)*(-5 + 6 + 4 - x**2) as n*x**2 + r*x**3 + w + o*x and give o.\nAnswer: -4840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 170, 128, 86, 44?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 277, 7882, 20571, 38356, 61249, 89262, 122407, 160696?\nAnswer: 204141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p - 2907. Let t(g) = 12 + 22 - 3 + g**2 - 31. Calculate k(t(o)).\nAnswer: -o**2 - 2907","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-53)\/(-636)*6)\/((-10)\/(-60))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 74890577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -7. Suppose 70 = k*b + 2*b. Let a = -13 + b. Let y(l) = -4*l**3 - l + 1. Calculate y(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (105*t**2 + 310*t**2 + 27*t**2)*(2*t**2 - 2*t**2 - t**2).\nAnswer: -442*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -14998 divided by -32258\nAnswer: 7499\/16129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24*o**3 - 150*o**2 + 8630*o*u - 42730626*u + 1 wrt o?\nAnswer: -72*o**2 - 300*o + 8630*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 31806 = -13*r - 52*r. What is the remainder when r is divided by 180?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((17689\/14)\/7)\/(1 - -1). Let y = -8247\/92 + d. Are y and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-4)\/(-920))*(-35)\/(-70). What is the greatest common divisor of u and 265?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 12*y**2 - 4*y + 7. Let u be ((-2)\/6)\/((-2)\/(-42)). Let i be t(u). Suppose s - 2*w + 21 - 182 = 0, i = 4*s - w. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a century in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -2*g + 100. Suppose l - g = -l. Is l a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + -4 + -3 - (-5 + 2 + 15)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 83 and 709?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*((q*q**(1\/17)*q)\/q)\/q*q*q)\/q**(-1))\/(((q\/((q**7*q)\/q))\/q)\/(q*q**(-10)*q*q)) assuming q is positive.\nAnswer: q**(69\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 13. Let t = y + 2. Let u = 1.8 - 2. Which is the nearest to u? (a) 2 (b) t (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (6\/(-27))\/((-2)\/(-186)) and (-7)\/5*(48\/(-112) - 243\/(-231)).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -4 - (-96 - -91)) + (1 - (52 + -4)).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -451.7596472253 + 1360110.5296577253. Let p = d - 1359745.77. Let u = 87 + p. Round u to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-5))\/((-54)\/20)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**4 + a**3 + 26 + 2*a - 121 - 10 - 2*a**4 + 28 to the form f*a**2 + i*a**4 + v + d*a**3 + l*a and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -82*u**2 - 3*u - 3. Let c(l) = -6*l**2. What is -15*c(g) + i(g)?\nAnswer: 8*g**2 - 3*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**3 - 37*s - 5*s + 0*s**3 - 4*s**3.\nAnswer: -2*s**3 - 42*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012792 less than -979.44?\nAnswer: -979.452792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123340142 (base 5) to base 3.\nAnswer: 1010202211022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/112*24 - 5\/20?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = 4*a - 9*a - 5*j, -5*a + 2*j = -109. Calculate the least common multiple of a and ((-9)\/(-2))\/(4284\/(-240) + 18).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9113*l**3 - 2*l**2 + 170968*l + 1?\nAnswer: 54678*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17918 take away -16047?\nAnswer: 33965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2047 + 6*8\/(-18)*(-27)\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 5*u**2 + 14*u - 2. Suppose -4*w - 3*h = 29, 0*w + 30 = -5*w - 5*h. Is a(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*r - r**4 + 8*r)*(-2 + 1 - 1)*(-4 + 3 + 4).\nAnswer: 6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = -0*h - 13*h. Suppose 0*z + 4*z = 0. Let x = 0 + z. Solve g + x = h for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 - 12 + 13)*(-3*k**4 + 11*k**4 + 12*k**4) in the form r*k**2 + i*k**4 + h*k + v + g*k**3 and give i.\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61230 = -2638*x + 46928 for x.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/450)\/(1*(-2)\/20).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 529 = 9*p + 2*l, -4*p + 2122 = -5*l. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1704 (b) 0 (c) 1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.066 + -64.066. Let d = 1 + n. Let c = d + 62.69. What is c rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 6. Let h = 302 + -304. Let p = 20 + -161\/8. Which is the nearest to h? (a) p (b) 2\/5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34\/51)\/(3\/((-9)\/2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/5050 and -14\/225.\nAnswer: 45450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j*j*(j**5*j)\/j*j*j)\/j*j**(-1\/2))\/(j*(j*j*j**0*j*j*j)\/j)**1)\/(j**1*j**0)**1 assuming j is positive.\nAnswer: j**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 2)*(f - f - f**2).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-9))\/5*0\/4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*x = 54 - 404 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -87712000 to the nearest one million.\nAnswer: -88000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-2) + -1 - 256\/(-128). Let m(u) = 2 + 10*u**2 - u + 9*u**h - 14*u**2. Let a(o) = 6*o**2 - o + 2. Determine -6*a(n) + 7*m(n).\nAnswer: -n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of 422*k**5\/15 + k**4\/6 + k**3\/6 - 73*k**2 - 2. Is j(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 c, and 1 y when three letters picked without replacement from {y: 1, c: 3, v: 2, l: 1, d: 8, q: 1}?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/5)\/(v**(-2\/7)*v**(1\/6)))\/(v**(-18))**(2\/135) assuming v is positive.\nAnswer: v**(41\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/10 of a meter?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 96 - 220. Let v = z + 64. Is (v\/18)\/(4\/(-42)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)\/sqrt(11))\/sqrt(12) + (sqrt(432) + -3)**2.\nAnswer: -71*sqrt(3) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4*r**2 - 10687*r - 10683. Determine g(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/90 and 82\/105.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y + 2*y - 2*y)*(5 + 0 - 2).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of 7*p**4\/4 + 7*p**3\/3 + 15*p. Find the second derivative of d(h) wrt h.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117*j - 46 - 188 = 0. Let k(a) = -a**3 + a**2 - 2*a - 2. What is k(j)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n = 11*n + 3. Let b(f) be the first derivative of 1\/2*f**2 - n + 0*f. Let x(p) = -7*p. Give x(b(m)).\nAnswer: -7*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (324\/(-15))\/(76\/(-1400)). Let x = k + -398. Let s = x - -1441\/152. Calculate the common denominator of -76\/3 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2017*c**5 - 12*c**4 + 29872*c**2 + 2 wrt c?\nAnswer: -121020*c**2 - 288*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1388484 by -6.\nAnswer: -231414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of k**6\/40 - k**5\/15 - k**4\/12 + k**3\/3 - 3*k**2 - k. Calculate w(3).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {k: 5, t: 9, m: 2, h: 2, r: 2}.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6819381653 less than -1.8?\nAnswer: -6819381654.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 5*o - 6. Let z be w(-6). Let m be 22 + -12 - 117\/12. Which is the closest to z? (a) 4 (b) m (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23\/(3703\/138))\/((-30)\/(-14)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*((-7)\/5 - (-25)\/375). Solve 2*l + 5 = -p + u, 4*l + 32 = 4*p for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1751266367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u**3 - 7*u**2 - 3*u - 15. Let z be p(-5). Let a = 373 - z. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0048671 rounded to 4 dps?\nAnswer: 0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -540 = l - 7*l. Suppose -l - 42 = -6*h. What is the lowest common multiple of h and (96\/78)\/8 + (-102)\/(-13)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5516\/11 + 501. What is the common denominator of (-13)\/(1950\/(-356)) - (-1)\/(-3) and u?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 10*a. Let w(t) = -5*t + 59. Let y be w(12). Calculate q(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 85482843*b**2. Let g(i) = -5*i. What is j(g(n))?\nAnswer: 2137071075*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000063793574 to seven dps.\nAnswer: 0.0000638","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*a - 0*a + w, -7*a - 14 = -5*w for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 666, 1109, 1552, 1995?\n\"Answer: 443*z + 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**2\/4 + 791*x\/4 - 787 = 0. Calculate x.\nAnswer: 4, 787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 + 2799*o + 80331. Give c(-29).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/585*-87 - 1\/(-13)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-44)\/154*(-26)\/(1872\/(-11844))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1326\/36 - 36 - (-57313)\/6?\nAnswer: 41, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q**5 + 4*q. Suppose 0 = -5*t - 11 - 4. Let m(b) = 3*b**5 - 5*b. Let v(f) = t*m(f) - 4*z(f). What is the second derivative of v(o) wrt o?\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2048763128 to the nearest integer?\nAnswer: 45263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05353*-0.04.\nAnswer: 0.0021412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4, p: 2}. Give prob of sequence eep.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -119933, 4, 6, 5, 1 in descending order.\nAnswer: 6, 5, 4, 1, -119933","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 8*l**2 + 7*l - 1. Let v be h(-7). Let d be (v - 1)\/(8\/(-28)). What is the units digit of 1 - (4 - d) - -23?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/10 and ((-1)\/(-355))\/((-312)\/1950)?\nAnswer: 1420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 287892123*v - 350744751.\nAnswer: 287892123","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 PM and 3:30 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, w: 8}. What is prob of picking 3 w?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1853 (base 14) to base 4.\nAnswer: 1010201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2309342 rounded to four decimal places?\nAnswer: -0.2309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2479 divided by -6\nAnswer: 2479\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**3\/3 - 428*n**2\/3 + 20608*n\/3 + 250880\/3 = 0. Calculate n.\nAnswer: -10, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2137 + -2136. What is the closest to i in 3\/5, 4, 1, 0.03?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -67145.\nAnswer: -335725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/1 - 0)*-5. Let c be 26 - 4 - (-3 - 6\/(-1)). Let q = c - f. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 + -0.6. Let s be 1\/(-1) + 36\/6. Suppose -3 = -4*v + h, -s*h - 6 = 4*v - 39. Which is the second biggest value? (a) 0.6 (b) v (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-3 + (3 - 3 - -4))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 7755 = 370*u + 2*i - 2*i, i + 18 = -u for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 176 and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 234663.2662442 less than -41?\nAnswer: -234704.2662442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, 0.06, -8, 0.3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-805)\/120 - -7)*(-100)\/28. Let m = 77\/8 - g. What is the common denominator of 61\/24 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 478.8 + -478. Which is the second smallest value? (a) -0.08 (b) 2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z + 6 = 13*z. Suppose 7*j + 18 = 4*j. Let u = j + 6. Sort u, -2, 1, z in ascending order.\nAnswer: -2, u, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {d: 16, u: 4}.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -4*l**3\/3 + 9*l + 1469. Give n(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1744081 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/14)\/((-230)\/2415).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186*s**3 - 2*s + 2*s + 0*s.\nAnswer: -186*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(70)\/(sqrt(8)\/sqrt(4)))\/(-4*(sqrt(20)\/sqrt(4) - sqrt(5)) - (sqrt(40)*2)\/sqrt(8)).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9224 is divided by 2806.\nAnswer: 806","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002064163 rounded to six dps?\nAnswer: -0.000206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -8*x**2. Suppose 10*c + 40 = 18*c. Let l(h) = -c*h - 9*h - 30*h + 5*h. Determine l(s(o)).\nAnswer: 312*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 742255, 1484513, 2226771, 2969029?\n\"Answer: 742258*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -735 - 123. Let t = u + 858. Which is the biggest value? (a) t (b) 3 (c) 10 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(6)\/(sqrt(12)\/sqrt(36)))**2*-1.\nAnswer: -450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/617 and -27\/4?\nAnswer: 2468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18218.\nAnswer: 2, 9109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 8*a**2 - 1. Let w(g) = 62*g**2 + 2 - 26*g**2 - 3 - 27*g**2. Suppose -b - 8 = -3. What is b*w(t) + 6*z(t)?\nAnswer: 3*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 11 = g. Let m be 27\/243 - 1\/9. Suppose m = -4*s + 4*h + 32, -2*s + g*h = -0*h - 14. What is the remainder when 45 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 7*x**2 + 9*x - 8. Let t be q(8). Is 2\/429 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -198*l**2*n*w**2 - 40*l**2*w - 6*l*n + 156*l*w - 2040*n*w**2 wrt w?\nAnswer: -396*l**2*n - 4080*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*u**2 + u**2 - 2*u**2)*(u**3 - 3*u**3 + 4*u**3).\nAnswer: 12*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 2*h**2 + 0*h**4 + 0*h + 0*h**5 - 2\/3*h**3 + 179\/6*h**6 - 220. What is the third derivative of t(v) wrt v?\nAnswer: 10740*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 6:05 PM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 42, 37, 30, 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1491 + 1441 + 3704 + 2212 + 950)*(-3 + 2*i + 3).\nAnswer: 19596*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - (-5)\/25*16. Which is the closest to -1? (a) 2\/3 (b) z (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 664*b - 588*b**2 - 664*b.\nAnswer: -588*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k. Let y(r) = -11061716*r**2. What is y(d(x))?\nAnswer: -44246864*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 3) + (4 + -3 - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 85740128 and 10717516.\nAnswer: 85740128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -719825, -1439864, -2159903, -2879942?\nAnswer: -3599981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208*s**3 + 424*s**3 - 3*s - 214*s**3.\nAnswer: 2*s**3 - 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g - 4. Let q be z(-7). Let b be 59 + -1 - (-9)\/q. Suppose b = 3*d - 2. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5013 - 35214. Let l be (-3 + 1)*u\/(-33). Let q = l + 14719\/6. What is the common denominator of 6\/167 and q?\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56.215778 rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -3, -1.\nAnswer: -4, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(95) - (sqrt(95) + -4*(sqrt(95) + 2*sqrt(95) + sqrt(95)) + sqrt(95))))\/(3*sqrt(5)*-1*-6).\nAnswer: -5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 2:55 AM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45 is divided by 34?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 41 - -12197?\nAnswer: 12218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 4:52 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 3 = -3*a. Suppose -d = 1, -j + a*j + 4 = -4*d. Sort -1\/11, 0.14, j in descending order.\nAnswer: 0.14, j, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -41 + (-29 - (-6897)\/99)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 w when two letters picked without replacement from ereweeeeereewee?\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zeozooeooooeyeoozoz. What is prob of picking 2 z and 1 o?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 10*f + 9. Let u(h) = -h - 1. Let i(b) = o(b) + 5*u(b). Determine i(-4).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-95)\/(-25) + -5)\/((-3)\/10). Suppose 32 + v = 3*m. Let u(g) = -5329*g - 52. Let n be u(m). Round n to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 + 36 = 4*y. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -7. Let r = -0.3 - -0.8. Let m = -0.71 - -0.31. Sort n, r, m in ascending order.\nAnswer: n, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*p**4*q - p**4 + 36*p**2*q + p*q wrt p.\nAnswer: -288*p*q - 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14789*h - 3416 = 14850*h for h.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1682, 1685, 1690, 1697, 1706?\n\"Answer: v**2 + 1681","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m**2 - 11*m**3 + 7*m**2 - 2 - 7*m**3 + 20*m**3. Suppose -2*o - 1 - 3 = 0. Determine n(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.21 - -10.21. Let i = -10 + l. What is the biggest value in 2, -0.1, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*3\/(-6)*2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/19)*y**11*y**(2\/7)*y**(1\/13)\/y assuming y is positive.\nAnswer: y**(17735\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - (-25)\/5 - 16. Let y = 74 + z. What is the greatest common divisor of 10 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 9:56 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + sqrt(2057) + sqrt(2057) + 1*sqrt(2057) + sqrt(2057))*4*-3.\nAnswer: -540*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 38.1? (a) -1\/4 (b) 102 (c) 4 (d) 6 (e) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k - 1. Suppose 4 = n - 2*f, -8 = 5*n - 3*f - 28. Let u(p) = 3*p + 2. Calculate n*u(c) + 7*t(c).\nAnswer: 5*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 9:09 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrzzrrrr. Give prob of picking 1 r and 2 z.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 7974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**2\/5 + 8294*y\/5 + 17197609\/5 = 0.\nAnswer: -4147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r*r*r**(-2\/3)))*r*r**(-1\/6)*((r**(-1\/14)\/r)\/r)\/(r\/(r**(-12)\/r)))**(3\/13) assuming r is positive.\nAnswer: r**(-292\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 7*b + 6. Let u be n(7). Is (-1846)\/(-6) - u\/9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56 + -25. Let o = -28 + h. Solve -20 = o*w + w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000458559 rounded to six dps?\nAnswer: -0.000459","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 10*q**2 - 18*q + 12. Let i be t(8). Let d be (i\/(-6))\/(22\/(-33)). Which is smaller: 1\/11 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 49\/35*(-136)\/238\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1.8 (b) -5 (c) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -32ea (base 15) in base 11?\nAnswer: -8124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7489 take away -0.5?\nAnswer: 7489.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.892096um to meters.\nAnswer: 0.000006892096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**3 + 463*i**2 - 2224*i - 637. Calculate u(5).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12653 by 5.\nAnswer: 12653\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - t. Let k(p) = -2*p**3 - p**2 + 7*p - 1. Let w(d) = d**3 + d**2 - 8*d. Let h(x) = -4*k(x) - 3*w(x). What is h(i) - 4*s(i)?\nAnswer: i**3 + i**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -1409*y**5\/20 - 755*y**3\/3 + 736*y. What is the second derivative of t(l) wrt l?\nAnswer: -8454*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 4*u + 2*u**2)*((4 - 1 - 5)*(-3 + 6 - 4) + 23 + 9 - 59 - 2 + 3 + 1 + (-1 + 0 + 0)*(-2 + 4 + 0) - 1 + 3 - 4 + 8 - 19 + 0).\nAnswer: -76*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23 and 640573.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**4 - j**4 + 0*j**4 + (-12*j**4 + 11 + 11 - 25)*(-6 - 2 + 2).\nAnswer: 73*j**4 + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together 19.8 and -85.9918.\nAnswer: -66.1918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**2 - 612*f + 2480 = 0?\nAnswer: -310, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 5*z + 22, 2*z - 5 = -4*x + 11. Suppose v - f + 11 + 10 = 0, -x*v + f - 46 = 0. Is 19 a factor of (-15)\/v + (-377)\/(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2582 + -2579. Solve -a = -19*v - 60 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168*m + 201*m + 278*m.\nAnswer: 647*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n**2 + 8219*n**3 - n + 1 - 452*n**4 - 8219*n**3 in the form i*n**2 + m*n**3 + o*n + w*n**4 + b and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 199 + -151. What is the highest common factor of v and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(833) + -1 + -2)*2 + sqrt(833) + (sqrt(833) - (sqrt(833) + -1)) + -1 + (1*sqrt(833) - sqrt(833)) + -1)*1)**2.\nAnswer: -2646*sqrt(17) + 67914","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 1 = 6*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, t: 4, p: 1, d: 3}. What is prob of sequence ptht?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32879957377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 13*r - 1. Let b be y(1). What is the second derivative of x + 12 - b - 2*x**5 wrt x?\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/15)*c*c\/((c*c**(1\/5)*c)\/c)*c)\/((c*((c\/((c\/(c**0\/c))\/c))\/c)\/c)\/c*c**8) assuming c is positive.\nAnswer: c**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/12 + (-84)\/72?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 8:27 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/((-10)\/4 + 2). Let j(z) be the second derivative of -3\/2*z**2 + 0 - 5\/6*z**3 + 4*z. Determine j(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -441363709, -441363706, -441363701, -441363694, -441363685, -441363674, -441363661?\n\"Answer: u**2 - 441363710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/5 (b) 4 (c) 2\/7 (d) -4 (e) -7044 (f) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14227 - 14151. What is the remainder when 1910 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22118808 (base 9) to base 10.\nAnswer: 10700918","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3 = -5*f, 2*r - 7*r - 5*f + 15 = 0. What is the tens digit of r - (-27 + 2 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w**3 - 2*w**2 + 80*w - 114. List the prime factors of q(14).\nAnswer: 2, 5, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2893 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 406234 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 12:26 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of -3\/5*i**5 + i**2 + 0*i**4 + 3 + 0*i + 0*i**3. What is the second derivative of k(x) wrt x?\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2886761?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 620516323 + -1?\nAnswer: 620516322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*z**3 - 70*z**3 + 88*z**3 - z - 85 + 4*z**2 + 3*z.\nAnswer: 121*z**3 + 4*z**2 + 2*z - 85","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1040 a factor of 164416789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -734\/9*y**2 + 2*y**3 + 0 - 164\/9*y = 0.\nAnswer: -2\/9, 0, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 + 1614*l\/5 + 2608\/5.\nAnswer: -2*(l - 163)*(5*l + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 20 = -d. Let n be (-28)\/(d\/1) - -2. Let o be (-6 - n)*(-1)\/7. What is the third biggest value in 3, o, 1\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20933 - 18813. Solve z = -2*t + 2108 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.5, -4, 5, -7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j + 12 - 5*j - 5 + 10*j - 3 - 14*j**3. Calculate k(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3262 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*m - 378 + 10 = 0 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -7090138 at most -7090153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 26 = -233. What is the smallest common multiple of 15 and s?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*d**4 + 4)*(-6*d + 5*d - 8*d) + (2 - 2 + 2*d**4)*(-d + 3 - 3).\nAnswer: -20*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k = 25*k - 4*f + 64, 3*f - 27 = 2*k. Which is the nearest to -1? (a) 2\/19 (b) 2 (c) -1 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-10)*135\/(-36))\/((-1014)\/(-260)).\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153)*1*4)\/(sqrt(63)\/(sqrt(7)*-1)) - (2 + (sqrt(17)*-1)**2)*-3*4.\nAnswer: -4*sqrt(17) + 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140)\/(-5*sqrt(100)))\/(5*5*sqrt(35)\/sqrt(7)))**2 + 4.\nAnswer: 1562507\/390625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -21\/44 (b) 52\/17 (c) 0 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 - 2*v - 10. Let a be g(-5). Let q(m) = -m**2 + 17*m - 23 - 21 + a. What are the prime factors of q(14)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cncnccccncncnccc. What is prob of sequence ccnc?\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1 (b) 5 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b*b\/b**(1\/36)*b*b\/((b\/(b\/(b\/(b**(3\/7)\/b)*b)))\/b*b)*b*b**(2\/13)*b**9 assuming b is positive.\nAnswer: b**(41129\/3276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -3*v - 5, -567*q - v = -567*q + 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 383238952?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 10:08 PM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3da + 4?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1005552.055 rounded to the nearest one hundred thousand?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 37656652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-10)*2)\/(54\/4)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -v**5\/60 + v**4\/24 - v**3\/3 - 3. Let p(y) be the third derivative of s(y). What is the first derivative of p(t) wrt t?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 452 is divided by 203?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -9*g - 33. Give h(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2865420 to the power of 1\/2, to the nearest integer?\nAnswer: 1693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3 - 3)*(-25*k - 4*k + 14*k + (-k + 3*k - 3*k)*(-1 - 2 + 4)) to the form u*k + p and give u.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 3*j + 0*j = 0, -k = 2*j - 1. Let b be 13 - 9 - 1\/k. Solve 0 = 3*i - 5*t + 8, 0*t = -5*i + b*t for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8\/801 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8817672?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = v + 2, -2*h - 10 = -4*h. Let p = v + 11. What is the third derivative of -3*n**2 - 2*n**2 - n**4 - 2*n**4 + p*n**2 wrt n?\nAnswer: -72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 480061 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4325*y + 6740*y - 3498*y + 0 + 0.\nAnswer: -1083*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 7 = 5*x. Calculate the remainder when 42 is divided by (-15)\/(-2) - (-12)\/x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -1088*u**2. Let q(r) be the first derivative of 2*r**3\/3 - 64. Give m(q(t)).\nAnswer: -4352*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16692.\nAnswer: 2, 3, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n - n**5 - 3*n - 3 + 3 + n**5 + (-1 + 3 - 1)*(3 + n**5 - 3) - n**3 + n**5 + n**3 + (-4*n**2 + 3*n**2 + 8*n**2)*(-2*n - n**3 + 2*n).\nAnswer: -5*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -2*g - 3*g + 5*t, 0 = 4*g - 3*t - 33. Suppose -12*c + g*c + 18 = 0. Solve 12 = -c*l - 0*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 720461?\nAnswer: 7, 19, 5417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/27 in -6\/61, -1, -0.5, -3, -2\/5?\nAnswer: -6\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 5*d = 5, 0*g = 5*g + 4*d + 4. Let m = -2.07 - -0.07. Is g bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3428008550 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 220 and 56219640.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1182\/4 + (-43)\/(-86)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14985183.7 plus -902.71?\nAnswer: -14986086.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 10:49 PM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47979349.\nAnswer: 11, 499, 8741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/4*0\/(-1). Let k(j) = j**3 - 4*j**2 + 5*j - 22. Let w be k(4). Which is the second biggest value? (a) q (b) w (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2188494 divided by -66318.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**3 + 26*k**2 - k + 5. Let z be o(13). Sort 4, 0, z in decreasing order.\nAnswer: 4, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 33 = -12. Suppose -5*b - 5*h - 10 = 0, -4 = -0*b + b + 3*h. Calculate the remainder when (-2 - b) + (-60)\/(-3) is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 s, and 1 i when four letters picked without replacement from cvvvvccicvsscvcvvv?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1392\/20 - 2\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/5*(-175)\/10. Let l = z + -12. What is the second derivative of -6*c**l + 52 - 2*c**2 + 10*c - 52 wrt c?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 17. Let v = 0.6 - -1.4. Which is the second smallest value? (a) s (b) -6 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1048 (b) 19 (c) 5 (d) -1\/5493\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (28*p**2 - 22*p**2 - 17*p**2 + (-2*p**2 + 0*p + 0*p)*(3 + 0 - 2))*(5 - 6 + 3)*(-p + 4 - 4) as r + k*p + n*p**3 + o*p**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81928129 to the nearest integer?\nAnswer: 9051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2*9\/(-12) + 30\/(-20)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 1704?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/10 of a century?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -86 * -19.8.\nAnswer: 1702.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -13*v**2 - 45*v + 10. Let s(r) = -35*r**2 - 119*r + 28. Let z(a) = 8*o(a) - 3*s(a). Let q(j) = 4*j**2 - 8*j - 11. Calculate -3*q(l) + 8*z(l).\nAnswer: -4*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 2, 295\/3, 0, 0.7?\nAnswer: 295\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*z + 46, 0*w = 2*w + 4. Solve -o = -4*o + v - 9, o + 5*v = -z for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1517 is divided by 195 - ((-783)\/(-99) - (-10)\/110)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15431 and 51935?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31340*l**3*p**2 - 2*l**3*p - 394*l**3 - 2*l**2*p**2 - 2*l**2*p - 2*l*p + 22*p wrt p?\nAnswer: -62680*l**3 - 4*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 2*t**2 - 8*t + 28. Let j be v(-12). Let l = 420 - j. Solve -6*w = -l - 22 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 15)*1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1730 + 4?\nAnswer: -1727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4\/11133 - -293105\/178128. Find the common denominator of r and -5\/36.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/3149832 and -43\/2.\nAnswer: 3149832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.465525353 + -0.46555. What is y rounded to six decimal places?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 0*p - 14 + 9*p + 12*p.\nAnswer: 21*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*k + 24*k - 4 = 8*k, -3*n - 3*k = -54 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.4 - -1. Let m = -0.14 - -0.09. Let j = -0.55 - m. Which is the closest to -1\/2? (a) j (b) 0.1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 358 + -353. Which is smaller: q or 40?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-36)\/(-306) + (-104)\/17?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**4 + 53414*n**3 + 374052*n**2 - 1496024*n + 1068560 = 0. What is n?\nAnswer: -10, 1, 2, 26714","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of k**3\/3 + 3*k**2\/2 + 4*k + 1. Let a(c) = -3*c - 64. Let o be a(-20). What are the prime factors of l(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 3)*(-13)\/((-39)\/(-18)). Suppose 7*n - 2482 = k*n - 3*z, -3*z = 4*n - 9955. Is n 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) 0.4 (b) -2\/13 (c) -0.12 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-18)\/8)\/(12\/912). Let o = j + 264. Let i = o - 69. Solve 5*p - z = -i, -3*p = -0*p + 2*z + 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**2 + 5*m - 3. Let v(c) = 2*c**2 - 6*c + 4. Give 7*n(x) + 6*v(x).\nAnswer: -2*x**2 - x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4 = -4*a, 3*h - 5 = 7. Suppose -5*z - a*b + 74 = -2*z, 0 = -4*z - 2*b + 102. What is the highest common divisor of z and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + -2)*6 - (-1 + (sqrt(8)\/sqrt(4))**2)) + ((sqrt(198)*-5)\/sqrt(9))\/sqrt(11).\nAnswer: -13 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 646*s + 4540. What is the remainder when 1672 is divided by a(-7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 219 or 272642?\nAnswer: 272642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24639*v**3 - 3052*v**2 + 172195150*v?\nAnswer: -147834*v - 6104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 340\/(-60) - 7\/(21\/(-2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1560387 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -77\/277 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 67462671, 67462668, 67462665, 67462662, 67462659, 67462656?\n\"Answer: -3*r + 67462674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34*-0.2153.\nAnswer: -7.3202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/((f*(f\/f**(-2\/7))\/f*f*f)\/f)*f)**27*(f**6\/f)\/(f\/(f\/f**(1\/8))) assuming f is positive.\nAnswer: f**(1353\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {j: 5, c: 13}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -16. Suppose l = 3*p - p. Suppose 4*r - 58 = p*u + 70, -64 = -2*r + 5*u. Is 11 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -34\/5 or 0.00644?\nAnswer: 0.00644","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**3\/6 + 43*h**2\/6 + 71*h\/3 - 92\/3 = 0. What is h?\nAnswer: -4, 1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rrrrr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2. Let m(o) = -6*o**2 + 8. Let u(i) = 8*d(i) + m(i). Let g(l) be the first derivative of u(l). Let r(k) = -k - 3. Let p be r(-5). Calculate g(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*d - 0*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 + -0.2. Which is the closest to g? (a) 5 (b) 0 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccvcvyoovcvyccbo. What is prob of picking 3 c and 1 b?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -14650000 to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -5*a**3 + 16680*a**2 + 2182995*a - 6698970 = 0.\nAnswer: -129, 3, 3462","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2520 and 2298520.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-4\/7))**(-20)*(k*k\/((k\/(k\/(k**(-1\/8)\/k)))\/k))**(-27\/4))**38 assuming k is positive.\nAnswer: k**(-154983\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -123882 or 1?\nAnswer: -123882","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 p when three letters picked without replacement from gmmmmqxmmmxxxgxxxpp.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -145.35 and 5?\nAnswer: -726.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -18715*m + 4599. List the prime factors of w(-3).\nAnswer: 2, 3, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 0.03\nAnswer: 0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 36*z**2 + 6*z + 30. Let j(q) = -71*q**2 - 11*q - 59. Let r = -35 - -38. Suppose r*p + 55 = 22. Let i(v) = p*o(v) - 6*j(v). Differentiate i(h) wrt h.\nAnswer: 60*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -s + 56. Calculate the remainder when ((-20)\/14)\/(2\/s) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-five quarters of a gram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 8 - -3) + 6 + -9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12149 or -12148?\nAnswer: -12148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*2*sqrt(228) - 2*sqrt(228)*2)\/(sqrt(588)*-2 - sqrt(72)\/(sqrt(6)*2)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*u**6 + 1008 - 499 - 508 + 7*u**2 wrt u.\nAnswer: -1800*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/2)\/(-2)*3. Let q(d) = -38 + 2 + 6 + 18 - 3*d + 5. Calculate q(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44377*r**3 + 26*r - 3 - 2 + 44378*r**3 + 1 to the form z*r**3 + l + m*r**2 + o*r and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101 + 10?\nAnswer: -11011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 7, -0.7, 3\/7 in ascending order.\nAnswer: -0.7, 3\/7, 1\/2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8875, 35666, 80321, 142840?\n\"Answer: 8932*y**2 - 5*y - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-90)*-3 - (-224)\/(-4830).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -3\/2*a**2 - 1\/3*a**3 + 0 - 3*a. Determine m(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41762, -82179, -122596?\nAnswer: -163013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxpxxxxoxxxxxpx. Give prob of sequence xxxx.\nAnswer: 143\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - v**2 + 0*v**2. Let d(z) = 2*z**3 - 22*z**2 + 6. Let n be d(11). Let l(k) = -6*k + n*k + k. Give l(r(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1520676 (base 8) to base 15.\nAnswer: -88b9c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of t**4\/12 - t**3\/3 - 7*t - 20. Let u(l) be the first derivative of w(l). Solve u(a) = 0 for a.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -291*x - 627*x**2 + 133*x**2 + 194*x**2 + 3*x**3 + 194*x**2 + 190*x**2 - 372.\nAnswer: 3*(x - 4)*(x + 1)*(x + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 45. What is the highest common factor of 208 and v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.14, 0.4, 20 in decreasing order.\nAnswer: 20, 0.4, -0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1.965, 1\/11, -1\/19?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**2 - 4899043*u**3 + 4899042*u**3 - 5*u**2 - 2 + u**4 + 13*u in the form a*u**4 + q + j*u**3 + m*u**2 + n*u and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -8*w + 9. Let a(p) = -17*p + 19. Let y(h) = -2*h + 1. Let d be y(7). Calculate d*f(u) + 6*a(u).\nAnswer: 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000115069915 to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -85*c**2 + 1945*c + 98. Calculate x(23).\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 9*w**3 - 5*w + 4. Give p(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 7 = -8, z = -3*k - 8. Let c(b) = -b**3 + 7*b**2 + 4. Let w be c(z). Suppose 2*x = -j + w*j + 605, 0 = -x - 3*j + 316. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -y - 1. Suppose -q - n = -5*q + 4, y*q = -n - 4. Suppose -1 + 7 = 2*m. Solve q*w = m*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1044 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 - 9*h**2 - 9*h - 17. What is z(-8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63 + 58. What is the units digit of r*(1 - (-468)\/(-5) - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (10 - 10) - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-24)\/10)\/(138\/(-120) + 1). Solve -4*j = -2*d + c - 0, -d + 3*j + 13 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1485 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 178*v**3*y**3 - 23*v**3*y + 3*v**3 wrt y.\nAnswer: 1068*v**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5844901857 to the nearest integer?\nAnswer: 1801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.1 + -3. Which is the smallest value? (a) y (b) 1\/4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 192*j**3 + 204 with respect to j.\nAnswer: 576*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -5*j**3 + 2*j**2 + 1. Let h(v) = 9*v**3 - 2 - 6*v**2 + 2*v**2 + 0*v**2. Let i = -67 - -37. Let q be (12\/i)\/(4\/(-40)). What is q*h(p) + 7*y(p)?\nAnswer: p**3 - 2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**2 - 30*c**2 + 5*c**2.\nAnswer: -31*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13683*w = 4217*w - 1646800 for w.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 602170 divided by 120434\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/99 and 44\/7101.\nAnswer: 78111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/4 + 4691*f\/2 + 22005481\/4.\nAnswer: (f + 4691)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -3. Suppose -2*j + 5*h = -149, 0 = h + 1 + q. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 175376058 to the nearest integer?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -232, -157, -86, -19?\n\"Answer: -2*c**2 + 81*c - 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5238*t**2 + 2644*t**2 + 2587*t**2 - 114.\nAnswer: -7*t**2 - 114","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - b**2 + 4*b + 1. Let r(o) = -o**3 + 12*o**2 - 7*o + 11. Give r(k) + y(k).\nAnswer: -2*k**3 + 11*k**2 - 3*k + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 8*c + 5. Let y(x) = -6*x + 1. Calculate the remainder when y(-1) is divided by o(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 4*t**2 + 3. Let k(a) = 2*a**3 - 6*a**2 + 5. Determine 8*g(o) - 5*k(o).\nAnswer: -2*o**3 - 2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249 - 723*s**2 + 29*s - 35*s - 249.\nAnswer: -723*s**2 - 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-14) - 746\/14. Let l = y - -1217\/23. Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2341142 - 41?\nAnswer: 2341101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 110 - 90. Let h be 1 + (180\/3 - 1). Calculate the greatest common factor of h and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 6. Let z(c) = 2*c**2 - c + 17. Let n(v) = -8*p(v) - 3*z(v). What is n(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.019 times -2?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, 4, 0.1, -1, 0.5, 13 in increasing order.\nAnswer: -1, 0.1, 0.5, 4, 13, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 16 - 58 + 16 + 17 + 8. Let i(y) = y + 10. What is 2*i(m) + 4*z(m)?\nAnswer: 2*m + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 53181.06ug?\nAnswer: 0.05318106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 174 - 156 = 6*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 10321.2483 to the nearest ten.\nAnswer: 10320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n - 2 - 17 + 21 + 48*n**4 to the form x*n + i*n**3 + u*n**4 + y + p*n**2 and give u.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 758844*h**3 - 7*h**2 - 758844*h + 7.\nAnswer: (h - 1)*(h + 1)*(758844*h - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 2, -828266, 1\/4 in descending order.\nAnswer: 2, 1\/4, -0.06, -828266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 34937 and 2989?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19650 and 345.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 16555628029 and -0.0869?\nAnswer: 16555628029.0869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2536*z**2 + 1278*z**2 + 2689*z**2)*(-5*z**3 + 0*z + 2*z**3 + z).\nAnswer: -4293*z**5 + 1431*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -183284 (base 9) to base 2\nAnswer: -11011110100101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 6 + 0*q - 8*q**2 - 2*q + 7*q. Let c(p) = -16*p**2 + 11*p + 13. Let s(t) = -6*c(t) + 13*i(t). What is s(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36058317*l - 7211662*l - 7211664*l - 7211666*l + 3*l**2 - 7211666*l - 7211659*l.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*n**4 - 10*n**2 + 1487?\nAnswer: 24*n**3 - 20*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -1. Let s(o) = 8 + 8*o**3 + 0*o - 1 - o**3 + y*o. Let m(v) = 2*v + 3*v**3 + 0 + 0*v**3 + 3. What is 5*m(w) - 2*s(w)?\nAnswer: w**3 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 5:57 PM?\nAnswer: 3:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 9 (b) -3\/10 (c) -0.1 (d) -2\/5 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-3))\/((-6)\/27). Let j be ((-9)\/w - -2) + -1. Is (37\/j + 0)*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 2*l**6\/5 - 9*l**5\/20 - 5*l**4\/4 + 3*l**3\/2 + 3*l**2\/2 + 93*l + 28. Let w(v) be the first derivative of i(v). Factor w(j).\nAnswer: 3*(j - 1)**2*(j + 1)*(4*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 35 - m - 52 + 53. Let u(b) = -b - 10. Let i be u(-10). What is the tens digit of z(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 3805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1462597148?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/26)\/(-572*76\/(-51376))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 15*m**2 + 2*m**2 + 29*m**2 + m**2 - 5*m**2 + 2*m**2 - m**2 - 2 + 2 + (-m + 3*m - 3*m)*(-2*m + 0 + 0).\nAnswer: 45*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1805420 is divided by 451338?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25925?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11\/1 + 0 + 1. Suppose 2*n = 5*n - m. Solve 4*s - 10 - 5 = 3*q, -n*q + 4*s = 20 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-126)\/1365)\/((-6)\/26)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*d - 803*d**2 - 34*d - 1072*d**2 as v*d**2 + o + u*d and give v.\nAnswer: -1875","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of 0 + 1\/9*u**3 + 0*u + u**2 + 1\/4*u**4 + 9\/40*u**5. Suppose i(f) = 0. Calculate f.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 185 and 48062260?\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve -16328 = z - r - 16385, -3*z + r + 49 + 120 = 0 for z.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -123915, -123921, -123941, -123981, -124047, -124145, -124281, -124461?\n\"Answer: -j**3 - j**2 + 4*j - 123917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17988 and 63893.\nAnswer: 1149307284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.44 minus 1343669064?\nAnswer: -1343669063.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 5*n**2 - 22*n + 22*n - 12*n**2. Let x(w) be the second derivative of -w**3\/6 + w. Calculate q(x(o)).\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*n = 203 + 109 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4232 (base 6) to base 2\nAnswer: -1110111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.03, -5.8, 2.\nAnswer: -5.8, -3, 0.03, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -f**10\/756000 + f**8\/100800 + 11*f**5\/60 - 6*f**2. Let o(r) be the third derivative of i(r). Factor o(n).\nAnswer: -n**2*(n - 1)*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -92176*o**4 + 75300 wrt o.\nAnswer: -368704*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-10)\/12*(-2)\/25\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8860*q - 27328*q - 501341 + 739565 + 1959468 = 0 for q.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.102 rounded to 2 dps?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ozzzoozzzozozooz. What is prob of picking 1 z and 2 o?\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + -22)\/(6\/(-9)). Let p be (-18 + 0)*(2 - (-25)\/(-10)). What is the highest common divisor of g and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6504 times -11?\nAnswer: -71544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in -2, -4, -0.04, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 34 = 24*c - 2*c, 211*w = -3*c + 212*w for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and 2280.\nAnswer: 2280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 29 = -2*w, w = 4*g - 2*w - 38. List the prime factors of g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 11904 and 12650 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/10*46\/((-2576)\/140)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -897*x + 104039. Determine u(116).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 + 8*m**2 - 10. Calculate p(-7).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - j - 14 = 0, 2*j + 9 = 5*i - 14. Suppose 3 = -u + 3*q + 29, q = i*u - 74. Solve 0 = 3*p + 3*o - 6, 0 = -p + 2*p - 3*o - u for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from arrarr. Give prob of picking 3 r.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*i**2 - 17*i - 16*i - 20*i + 74*i - 21*i.\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -48968 divided by 1\nAnswer: -48968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1954119?\nAnswer: 3, 47, 13859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.17 * 0.243565.\nAnswer: -0.04140605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p - 16. Let n be r(5). Suppose -5*v - k + 6 = -n*k, 2*v = k + 3. Suppose -6*h + v*h = -78. Calculate the remainder when 50 is divided by h.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 4, -4, 1 in increasing order.\nAnswer: -13, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 7*j**4 + 5*j**2 + 3*j. Let l(n) = -n**4 - n**2. Let a(p) = -b(p) - 6*l(p). Let r(w) be the second derivative of a(w). Differentiate r(s) wrt s.\nAnswer: -24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 2 + 0 - 8 = y, -2*l - 3*l - 20 = 10 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, v: 2, p: 1}. Give prob of sequence vpv.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4539837kg in micrograms?\nAnswer: 453983700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8015 and 420.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2 (b) -2\/3 (c) 9\/4 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 = 2*n + 2*i, n + 19*i + 12*i - 27*i = -156 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 10*x**2 - x + 7. Let z be p(10). What is the nearest to 0.1 in 0.5, z, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of -g**9\/12096 + g**7\/3360 - g**3\/6 + 4*g. Let r(t) be the second derivative of x(t). Solve r(u) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, g: 2, r: 2, m: 1, h: 2, l: 1}. Give prob of sequence ggl.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -317*o**3*s**3*z**2 + 9*o**2*s**3*z**2 - 2*o*s**3*z**2 - o*s*z**2 wrt o?\nAnswer: -1902*s**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/5, -3, 0.5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-five halves of a millimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2174?\nAnswer: 2, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7d5 + -676?\nAnswer: -106b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4, 0.068, -3, 3?\nAnswer: 0.068","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17318 + 17317.8. Which is the closest to -2? (a) 4 (b) 5 (c) -287 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1625 - 377859673.\nAnswer: -377858048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 33*r + 640. Give k(-19).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 53.80723 to 0 dps.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.66 - 0.16. Let v = -4.3 + 5.8. Let j = k + v. What is the third biggest value in 0, j, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 3*p - 1 + 12, 5*m + 4*p = 16. Let q(f) = f - 1. Let i be q(m). Let h = 11\/182 - 9\/26. What is the second biggest value in h, i, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305.9631ng in tonnes?\nAnswer: 0.0000000000003059631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -77578, 3.\nAnswer: -77578, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74278080?\nAnswer: 2, 3, 5, 8597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/2*(-1 - 0). Suppose p*g - 2*g = -26. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 1\/2 (c) 0.25 (d) 11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 12*o - 1. Let q be w(-8). Let m = 45 - q. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a decade in years?\nAnswer: 285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6723241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/100 of a kilometer in centimeters?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.244285 to one dp.\nAnswer: -20.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -14*i**3 - 2*i**2 - 26*i - 68. Does 5 divide g(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(1\/2))**(-1\/13))**(-2\/109)*((q**6\/q*q)\/q*q*q**5)**(-10) assuming q is positive.\nAnswer: q**(-155869\/1417)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 - 6*o + 5. Suppose 2*y = -y + 4*d + 23, -3 = y + 4*d. Suppose 3*r = 2*h + 27, -y*h = -r + 39 - 4. Determine x(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1128*p - 4477*p + 1074*p + 1377*p - 7266*p as y*p + n and give y.\nAnswer: -10420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**2*j**3*q*z + 2*a**2 + 9*a*j**3 + 15*a*j*q - 16*j*q*z wrt z.\nAnswer: 2*a**2*j**3*q - 16*j*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 3*d + 4, d - 2 + 5 = 0. Put u, 0, 2, -1 in descending order.\nAnswer: 2, 0, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/6*1*-9. Let w = -8 + z. Suppose -8*t - 5*x + 63 = -4*t, -w*t - 4*x + 60 = 0. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79 = -18*g + 11 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 59? (a) 3\/2 (b) 0.4 (c) 2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 9*c - 11. Let y be d(-12). Let o be 5\/(-4) - (-65)\/20. Solve 5*t = 2*t - o*b - y, -3*b - 10 = -t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p. Let w(f) = -4*f + 5. Determine -5*r(b) - w(b).\nAnswer: -b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 5*((-4)\/16 - 737\/(-20))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16741 less than -0.492328?\nAnswer: 16740.507672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -c**2\/2 + 19. Let v(s) = -s**2 - s**2 + s**2. Give x(v(m)).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2851 - 1972. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 511, -0.137, -2, 0.4 in decreasing order.\nAnswer: 511, 0.4, -0.137, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 42*k**3 - 544*k**2 + 8*k - 7. What is q(13)?\nAnswer: 435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -m**7\/1470 - m**6\/105 - 2*m**5\/35 - 4*m**4\/21 - 8*m**3\/21 + 24*m**2. Find p, given that i(p) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fs when two letters picked without replacement from {i: 1, s: 1, f: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -1.067 (b) -1\/6 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of 41*z**7\/105 + z**6\/120 + z**5\/20 - 11*z**3\/6 - 135*z**2 + 2*z. Find the third derivative of f(o) wrt o.\nAnswer: 1968*o + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -109.22 take away 26377.2?\nAnswer: -26486.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 1 = 15. Suppose -x*b - 2*f + 4*f = 306, 3*b = 5*f - 247. Let o = b - -112. What is the remainder when 263 is divided by o?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2521*k - 2534*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**2 + 102*u - u**3 - 2 + 194*u**4 + 190*u**4 - 102*u to i*u**3 + g*u**2 + v + r*u + t*u**4 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, p: 9, i: 3, y: 5}. Give prob of picking 2 p, 1 i, and 1 o.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 28, 136, 426, 988, 1912, 3288?\n\"Answer: 15*v**3 + v**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(684) + sqrt(684) + -5 + (sqrt(684))**2 + sqrt(19).\nAnswer: 13*sqrt(19) + 680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*c + 77*c - 396*c = 1107 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-306)\/18)\/(2\/34). Suppose 3*j - 145 = 1217. Let w = j + g. What are the prime factors of w?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -66 + 1 + (-22 - -3 - (-34 + 1 + 25))\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/((d\/(d**20*d*d))\/d)))\/d**(2\/35) assuming d is positive.\nAnswer: d**(-772\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -141932 in decreasing order.\nAnswer: 2, -4, -141932","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5164 (base 9) to base 5.\nAnswer: -110114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*t - 351 = -42*t + 7*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 9*i**2 - 7*i + 24. Let s(z) = 7*z + 32. Let a be s(-6). Let p be x(a). Put p, -4, 0, 1 in descending order.\nAnswer: 1, 0, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rj when two letters picked without replacement from zzorjzr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 393, 409, 443, 501, 589, 713?\nAnswer: 879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from znnoznoonnozqznznpg. Give prob of picking 1 g and 1 z.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-16)*o*o**(-7\/3)*o)\/((o*o\/(o\/(o**(1\/5)\/o)))\/o*o*o*o**(4\/3)) assuming o is positive.\nAnswer: o**(-283\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = 4*g - 7, 4 = -20*m + 16*m + 4*g for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11891*o**5*w - 848*o**3*w - 91311*o**2 - 123*o*w wrt o.\nAnswer: -713460*o**2*w - 5088*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -7, -171, -50, 4 in increasing order.\nAnswer: -171, -50, -7, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9205370?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-3)\/(-18))\/(-16*(-6)\/18).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/15 greater than or equal to -0.029542?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 32097870 divided by 6290\nAnswer: 5103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*q**2 - 11 + 11)*(4 - 3 - 3)*(2*q + 3*q - 3*q).\nAnswer: -56*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - (-2224)\/(-528)*-3?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77412801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -22252*l - 823329. What is w(-37)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29 or -401707?\nAnswer: -401707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 0.023.\nAnswer: 0.069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from unuf. What is prob of picking 1 f and 1 n?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110 + 10011001011101?\nAnswer: 10011001110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**(-6))*q**(-1\/5))\/((q\/(q*q\/q**5))\/(q**(1\/4)*q)))**(3\/11) assuming q is positive.\nAnswer: q**(-537\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10569 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*b = -102 - 1056 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-8))\/(f*(f\/(f\/(f*f*f**(-17)*f)))\/f*f*f))\/((f\/(f**(-4\/11)\/f)*f)\/f*f*f**(1\/3)*f) assuming f is positive.\nAnswer: f**(538\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17.96 + -18. Let a = t - -0.24. Put a, 4, -10 in decreasing order.\nAnswer: 4, a, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26692 - 26675 + 28*m + 18*m + 3*m - 2*m - 3*m + (m + 3*m - 2*m)*(2 - 1 + 1) as b + r*m and give r.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 254*d**4*v**3 - 83*d**4*v**2 - 2*d**2*v**3 - 1149*d**2 + 2*d*v**3 + 2*v**2 wrt d.\nAnswer: 6096*d*v**3 - 1992*d*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 734341 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6207794m in micrometers?\nAnswer: 620779.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/124908 or 0?\nAnswer: 1\/124908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-10) - (-2)\/10.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -89 - -155. Suppose -2*h + 4*q + l = 0, 0 = -h + 3*q + 10 + 20. Let b = 82 - h. What is the remainder when b is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49018049 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.65698 tonnes to grams.\nAnswer: 82656980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4 - 14*f**3 - 12*f**2.\nAnswer: -2*f**2*(f + 1)*(f + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.99305 + 11. Round k to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 18 = -j, -4112*f - 4108*f = 3*j - 8217*f + 21 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 2:00 AM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*r - 103096 = -155*r + 1687128. What are the prime factors of r?\nAnswer: 2, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00008868 rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 225 divided by 75?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**4 + h**4 + 0*h**4)*(141 - 141 - 5*h) + (0 - h + 0)*(0*h**4 + h**4 + 0*h**4).\nAnswer: -6*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44*-521.\nAnswer: 22924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(240)*6)\/(sqrt(45)*-2 + sqrt(5)).\nAnswer: -24*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/((-9)\/(-6) - 2). Let a = 4 - b. Solve 0 = 4*z - 4*h - a*h - 32, 4*z + h = 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12.43 - 12.42. What is the nearest to 0 in -1\/15, v, -1\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 2\/25 (c) -7 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m**3 - 12*m**3 + 14*m**3)*(-3*m - 2*m + 3*m) - 2*m**4 - m**4 - 9*m**4.\nAnswer: -28*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i - 10*i = 15. Let d(c) = -3*c**2 - 12*c**3 + 6*c**3 + 7*c**i + 1 - 5*c + 7*c**2. What is d(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.64 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 3, -45, -2?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f + 4. Suppose 62*o = 64*o - 8. Let n(m) = -3*m - 7. Calculate o*n(a) + 7*p(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2942842 is divided by 735695?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1734 is divided by 124.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 0 + 23 = -4*m, -10 = 5*u + 3*m for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - l - 1 + 3*l)*(9 + 20 - 10) to j + i*l and give i.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -16*6\/(-44) + 18\/(-99)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-67 - -2) + (31 - 6)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*s - 3*m = -134*s + 230, 0 = 5*s + 3*m - 76 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*y - 3*p - 60, -y = -p + 30. Let c = 28 + y. List the prime factors of 4 - (-15 - (-8)\/c).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 1)\/((-2)\/(-8)). Let c(a) = 22 - 16*a + 6*a + 21 - 59 + 28. What is the tens digit of c(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10875*k**6*y - 402*k**3*y**2 - 2*k**2*y**2 + 5*k**2*y + 25*k*y**2 - 9*y**2 + 97 wrt k?\nAnswer: 1305000*k**3*y - 2412*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17 - 4792?\nAnswer: -4776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express p**3 + 2*p**3 + 5*p**3 + (-4 + 2 + 3)*(0*p**2 + 0*p**2 + 2*p**3) - 164*p**2 + 164*p**2 - 3*p - 59*p**3 as q*p**3 + o + a*p + f*p**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -4338*u - 129902. Give h(-30).\nAnswer: 238","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 134*l - 37. Let a(v) = -67*v + 19. Let c(n) = -7*a(n) - 4*p(n). Find the first derivative of c(u) wrt u.\nAnswer: -67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -99?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -20*s**3 + 3*s + 2. Suppose -m - v + 1 - 3 = 0, -5 = 2*m + 3*v. Let u be m + (-1)\/(3\/3). Does 13 divide c(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -s + 2 - 21 + 1, -2*f - 417 = 47*s for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 5 in increasing order.\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -106909, -213816, -320721, -427624, -534525, -641424?\nAnswer: -748321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from xqxqxqxxxqxxxxqx.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 194 + -192. Suppose -2*o + 24 = -f*t - 0*t, 5*o - 60 = -4*t. Calculate the remainder when 19 is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/8 - 0. Let x(d) = d**3 + 2*d**2 - 5*d - 3. Let l be x(-3). Suppose 2*f - 23 = -l*i - 2*f, -5*i + 3*f = 10. Which is smaller: w or i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j + 6. Suppose -291 - 934 = -245*d. What is t(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14240 + 34640. Round v to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -5. Let h = -11 - -8. Let t = i - h. Solve t*o - 12 = -o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11.04396 - 0.04396. What is the nearest to j in -12, -4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 67 * 1.\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/(-530)*30\/(-45)?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 93897, 93927, 93947, 93951, 93933, 93887, 93807?\nAnswer: 93687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10, 3, 3\/17, -1?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -18 - 2 - (20 + -8 - 5)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 104*n + 626. Calculate s(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/((-992)\/(-6))*(-243)\/(48114\/528).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 48877?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.4 and -6669787418.\nAnswer: -6669787415.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -520*y + 38*y**2 - 34*y**2 + 498*y to d + k*y**2 + n*y and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**4 - 50304*k**3 - 237233664*k**2 - 497241759744*k - 390832023158784 = 0. Calculate k.\nAnswer: -3144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*7 - 11891\/1012. Suppose -5 + 18 = p. Suppose 2*u + v = 5*u - p, -2*u = v - 2. Which is bigger: w or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -89, -187, -297, -425, -577, -759, -977?\n\"Answer: -d**3 - 91*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -57*o - 24. List the prime factors of h(-4).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55114623 by -1.\nAnswer: -55114623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*i - 542, 2*v - 717 = -5*i - 163. What is the least common multiple of i and 4?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put -1, 30, -3, 184, 0, -187 in ascending order.\nAnswer: -187, -3, -1, 0, 30, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/10 + (1 - 0). Let i = 169 + -1519\/9. Which is the nearest to -0.1? (a) h (b) 1 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15442828.\nAnswer: 2, 577, 6691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**3 - 3*b - 3. Suppose -16 = y - 5*y - k, 4*k = 0. Suppose -3*l + 12 = -5*w + 2, 2 = -w - y*l. What is o(w)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + -2)*-3.\nAnswer: -30*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o - 248*o**2 - 6*o.\nAnswer: -248*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -x - 2*n, -7*x - n + 19 = -2*x. Suppose 2*p + 8 = 3*h, 5*p - 12 + 32 = 4*h. What is the second biggest value in p, -0.5, x?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d**2 - 403*d + 75 - 87 + 12 to z + i*d**2 + g*d and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**4 + 11*b**4 - 6*b**4 + (0*b**2 - 4*b**2 + 6*b**2)*(3*b - 3*b + 2*b**2) - 236*b + 38*b**4 + 236*b.\nAnswer: 50*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 975.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -10*l**3 - 2*l**2 + 6*l - 3. Suppose 20 = -6*r + r - 5*h, r - 4*h = 1. Does 23 divide u(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 16. Let n = r - -8. Is n at most -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/(-42) - (-230)\/14. Is ((-36)\/(-16))\/(2\/g) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 3:45 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 0. Calculate the remainder when 27 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 9*b**2 - 13*b - 13. Let o be y(7). Let s(p) = -3*p**2 - 11*p + 20. Let z be s(o). Is z at most -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12957062?\nAnswer: 2, 73, 88747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 16397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 38\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3066755395 and 1067.\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2820605208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-55)\/(-132))\/((-1075)\/172*(-47)\/10).\nAnswer: 2\/141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 2*s**2 - 8*s - 7\/10*s**5 - 1\/12*s**6 - 7\/8*s**4 - 50 + 23\/6*s**3. Solve r(x) = 0 for x.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 10, -4, -20, -32, -34, -20, 16, 80?\n\"Answer: y**3 - 7*y**2 + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4916 and 35466482.\nAnswer: 2458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**4\/7 - 132*k**3\/7 + 981*k**2 + 97008*k\/7 - 14820 = 0 for k.\nAnswer: -70, -13, 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(140\/(-12))*2\/(-2)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1898528 to the power of 1\/2, to the nearest integer?\nAnswer: 1378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2434\/295 + 56\/59. Let x = 10 - g. Which is the second smallest value? (a) -4 (b) x (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311*l + 315*l - 30 = f, 31 = -5*f + 3*l for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36 - -74. Does 19 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {k: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66 + -86. Let s be (-147)\/(24\/l*20\/(-16)). Let m = -587\/6 - s. Which is the nearest to -0.1? (a) 2\/9 (b) m (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2b - -9?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2379 = -67199*k + 134503*k - 67243*k for k.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -340855700 to the nearest one million.\nAnswer: -341000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**26\/(b\/b**(-12)))\/(b**35\/((b*b\/(b**(-1\/2)*b))\/b)) assuming b is positive.\nAnswer: b**(-43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8033, 8034, 8035, 8036?\n\"Answer: g + 8032","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 317 - 312. Solve x = 6*q - q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1074*t = -1084*t + 19050. Is t a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 5*t + 7023, -35*w = -32*w + t - 21005. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109 is divided by 31.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36300 divided by -275.\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -615\/4, 2\/7 in decreasing order.\nAnswer: 14, 2\/7, -615\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 4\/1192859 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/4 - 77462\/(-11). Suppose g = 9*c + 3*c. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3539182304?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -839 = -6*u + u + 4*g, 0 = 3*g - 12. Suppose -5 + u = 2*m - 2*n, -3*n = m - 83. Does 48 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001794523434 rounded to seven decimal places?\nAnswer: -0.0017945","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 10*f - 11. What is the remainder when 47 is divided by x(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3876*r - 1667. Let f(h) = -1955*h + 834. Let s(t) = -7*f(t) - 4*w(t). What is the derivative of s(x) wrt x?\nAnswer: -1819","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (-3 + sqrt(11) + sqrt(22)\/sqrt(2) + sqrt(11))**2)*5.\nAnswer: -85*sqrt(11) + 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -116 by 1.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -569\/4 + 143. Let z = 17 + -10. Let h = z + -8. Which is the second smallest value? (a) o (b) h (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 850982 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -2. Let h = l + -14.8. Let d = -5\/18 - -19\/36. Which is the second biggest value? (a) d (b) h (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49627, -198411, -446359, -793465, -1239723, -1785127, -2429671, -3173349?\nAnswer: -4016155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -2c0?\nAnswer: -2c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18559 and 5397.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 91*l + 819. What is r(-99)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -4*x - 80, 5*x = -0*m - m + 5. Calculate the remainder when m is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -6*p**3 + p**2 - 3*p + 4. Let d be k(2). Let t = d - -73. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374561279.\nAnswer: 23, 419, 38867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-2)\/144*3 - 5625\/1080?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13099\/65545 - 2\/13109. Which is the second smallest value? (a) 1\/55 (b) -2\/7 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(-3*t**2 + 5*t**2 - t**2)*(3*t**3 + 2 - 2).\nAnswer: -6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 110470, 110463, 110454, 110443, 110430?\nAnswer: 110415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -557*o**3 - 646*o**3 + 341*o**3.\nAnswer: -862*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 166, 168, 170, 172, 174, 176?\nAnswer: 178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*z + 90 = -16*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/45*3465\/(-79464)\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 12:19 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 17\/4 of a gram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-14) + 1 + (-6)\/21. Let j(o) = -3*o**2 + 3*o - 5*o + 3*o - w + 7*o**3 - 9*o**3. Calculate j(2).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 0*h**2 - 9*h - 1\/4*h**4 + 0*h**3 + 0. Let s(v) = -19*v**2. Calculate t(s(z)).\nAnswer: -1083*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1014 is divided by 127.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) 5 (c) 38 (d) -0.01 (e) 847 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-45 - 12 + 94)*(2 - 1 + 0)*(-3*p + 1 - 4*p + 5*p)*(-2*p - 4*p + 4*p) to the form v + k*p**2 + w*p and give w.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37 - 34) + 4 + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*z**3\/3 + 697665*z**2 - 558128*z + 334876\/3.\nAnswer: -(z - 83719)*(5*z - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g - 6. Let u be q(-8). Solve u*p - 2*w - 4 + 0 = 0, -3*p = w + 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -438 divided by -438?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54777, 54654, 54533, 54414, 54297, 54182, 54069?\nAnswer: 53958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 12*i**3 + 6*i**2 + 19*i + 17. What is g(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 k when two letters picked without replacement from nnsnnkff?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 1558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**2\/3 + 21426*f + 3211400\/3 = 0. What is f?\nAnswer: -64228, -50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a + 4. Let u(h) = 297*h - 823. Let r(n) = 6*c(n) + u(n). Find the first derivative of r(q) wrt q.\nAnswer: 309","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10940033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 12. Suppose g + 2*g - 5*m + 15 = 0, n = -4*g + 4*m. Let u be (4*12\/32)\/3. Which is smaller: u or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 99674?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h**3 - 42*h**2 + 2*h - 52. Give a(21).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2\/5, -2.21, 0, 5 in increasing order.\nAnswer: -2.21, -2\/5, 0, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -6*j - 12. Let n(r) = 11*r + 21. Let q(s) = 7*k(s) + 4*n(s). Let c(z) = 14*z. Give q(c(o)).\nAnswer: 28*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 31722229697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 divided by -6828?\nAnswer: -17\/2276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**3\/3 + 8371*y**2\/3 - 2763421*y\/3 - 2771791\/3 = 0 for y.\nAnswer: -8689, -1, 319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14301 to the power of 1\/2, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*o = 55*o - 40. Suppose 94 - 4 = 5*r. Let i = r - 16. Sort 5, i, o in increasing order.\nAnswer: o, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -123810*n*p*q**2 + 3*n*p - n*q**3 + 14463*p + 46*q**3 - 2*q**2 wrt n.\nAnswer: -123810*p*q**2 + 3*p - q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide (-3)\/(49304\/(-6160) - -8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 344.2947 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, -59, 28, 710 in increasing order.\nAnswer: -59, 3\/4, 28, 710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j + 14. Let u be d(-3). Let t be (-169)\/(-52) - ((-6)\/u + 1). Calculate the greatest common divisor of 33 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31125 (base 9) to base 3\nAnswer: 1001010212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**2 + 4*n + 3. Let r be u(4). Let o(z) = -z**2 + z - 2. Let a(t) = 2*t**2 - t + 3. Let h(f) = r*a(f) + 4*o(f). Calculate h(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -197\/1512 + 1\/189. Let y = 0.2 - 0.2. Let q = -18 - -15. Which is the fourth smallest value? (a) q (b) y (c) 1\/2 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/6 + 11\/(-33). Solve z = 5*g - 17 + 2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njcqqms. Give prob of sequence js.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-480)\/64)\/(171\/(-912)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0 = -4. Let j(i) = -i**2 - 30*i - 1. Let p be j(-19). Suppose -p = -2*t - u*t. Is 13 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in -4\/69, 5, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4543 + 4569. Solve -u*j + 2*d = -29*j - 22, 5*j = -d - 25 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 4 = -20, -49*j - 99*j = 5*o - 2 - 18 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -2.95. Let y = u + 1.05. Sort 2, y, 3.\nAnswer: y, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.05 + 0.1. Let h = -13 - -13.25. Let x = h + d. What is the closest to -1 in 3, 1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 5*y - 16116. Find the second derivative of -y + 69*b**2 - 36*b + 5372 wrt b.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 + 13 - 19 - (0 + -3)) + -24?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/42*47110\/33650?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 2 - 18. What is the third derivative of 0*w**4 - q*w**4 + 5*w**2 + 2*w**4 - w**2 wrt w?\nAnswer: -48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/1704 and 53\/144.\nAnswer: 10224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-135*w - 334*w + 41*w)*(-2*w - 3*w - w).\nAnswer: 2568*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of -2*u**7\/105 + 17*u**6\/6 + 1021*u**5\/15 + 3335*u**4\/6 + 1600*u**3 - 3922*u**2 + 2*u. Factor y(r).\nAnswer: -4*(r - 96)*(r + 1)*(r + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142257 (base 10) to base 5.\nAnswer: 14023012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjrjrjjrrj. What is prob of sequence rj?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 5226 = -5*z - 5219, 3*l - 3 = 3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5304.674 - 10\nAnswer: 5294.674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 10:22 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39*1\/48*3 - 1 and -73\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70353 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -w + 3*p + 1, 35 = 2*w + 3*p. Let k(y) = y**3 - 11*y**2 + 10*y + 3. Let b be k(w). Suppose -30 = -b*x - 0*x. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -8*z - 240. Calculate d(-32).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6720 and 21632?\nAnswer: 2271360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*k + d, -2 - 1 = -d. Which is smaller: k or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/22? (a) 2 (b) 1 (c) -25 (d) 0 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of 277*l**5\/20 + 301*l**4\/12 + 4*l**2 - 207. Find the second derivative of r(w) wrt w.\nAnswer: 1662","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**2 + 11*y + 3*y + 6*y + 7*y.\nAnswer: -2*y**2 + 27*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3247192 by 1.\nAnswer: -3247192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k + 2. Let f be ((-12)\/8 - 0) + 25\/2. Suppose f*d - 15*d + 20 = 0. Calculate z(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -6*t. Suppose -2*l + 3 + 21 = t. Differentiate -8*v - 3 - 1 - 4*v + l wrt v.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2421 + 611*s**3 - 2421.\nAnswer: 611*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 21*x - 1302. Let q be b(62). What is the nearest to 0 in 7\/5, -25, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -35 (b) -0.0912 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5*r - 270 = 2*p, 3*r = -2*p - 179. Is (3349\/p)\/(2\/(-10)) a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 10*g - 20. Let o = 20 - g. What is the remainder when 28 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 43 in -0.06, 4, -29\/8, 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k = -40*k + 6*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/266 and -43\/6.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/158, -4\/7, -2, 5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (6 - (8 + -3 + 5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z + 1. Let x be o(3). Suppose x*c - 48 = 3*w, -w - 4 = -2*c + 20. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3605 or -3606?\nAnswer: -3605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -428*h**2 - 87308*h + 827. Determine t(-204).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6117, 6089, 6061, 6033?\n\"Answer: -28*x + 6145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 62*i**2 - 301*i + 89. Let c be g(-57). Which is greater: 1002 or c?\nAnswer: 1002","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/28 + 472\/(-3710). Let s = -19681\/2120 + q. Calculate the common denominator of s and 3 + 0 - 314\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 124657?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.732 + -0.552. Let r = i - 4.23. Suppose 5*d = 3*u + 34, 2*u + 3*u = -15. What is the nearest to 0 in r, -4, d?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 t when two letters picked without replacement from {r: 3, m: 2, t: 6, g: 1, i: 1}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18000, 18345, 18690, 19035, 19380?\nAnswer: 19725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**3 - c**2 - 3*c + 2. Let q(g) be the second derivative of g**5\/20 - g**4\/12 - g**3\/6 - 39*g + 31. Determine k(x) - 3*q(x).\nAnswer: -x**3 + 2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 106168 and 736.\nAnswer: 424672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7475140 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - -36. Suppose 8 = -2*d + m. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -312 and 7.522.\nAnswer: -304.478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1926*-4.\nAnswer: 7704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 8 - 5)*(3 + 3 + 5) - 4 + 3 + 0 + (-1 + 1 - 1)*(0 + 3 - 4))*(2*y**2 + y - y) to the form z + r*y + k*y**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence id when two letters picked without replacement from idppupspmppsip.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6582908.\nAnswer: 2, 1645727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/(sqrt(144)\/sqrt(9)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*s + 3*s. Let p be s\/5 - 180\/25. Let x be (-2)\/p - (-225)\/21. Solve 3*o = g - 2, -x + 5 = -o - g for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of -q**4\/8 - q**3\/2 - 3*q**2. Let b be v(-5). Solve -12 = 3*s, 2*j + 5*s + b = 3*s for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/6*4)\/((-60)\/225)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 6*q - 2*q - 5*q. Let n(s) be the second derivative of s**3\/6 - s**2 + s. Let m(u) = u - 1. Let c(r) = -2*m(r) + n(r). What is z(c(y))?\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.5 + 3. Let g(q) = -8*q + 132. Let v be g(-11). Suppose 20*s - v = 40*s. Which is the smallest value? (a) s (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + h + 179. Let l be b(14). Sort -146, 9, l in decreasing order.\nAnswer: 9, l, -146","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -24.7 (b) 2 (c) 1646\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -4*i**2 - 2 + 5*i**2 + 3. Let p be a(3). What is the units digit of p\/(4\/1 - 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194*d - 5 - 376*d + 5 + 186*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 25*j**2 + 19*j - 270. What is n(26)?\nAnswer: -452","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 2) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 1452730.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d - 2. Let f(c) = -6*c + 6. Let m(t) = -2*f(t) - 7*u(t). Give m(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 4*m - 20, -2*z - 2*z + 16 = -m. Let l = m - 1. Let a be l\/(-4) + 534\/(-24). 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 w = -80 - -90. Let m(c) = 2*c**2 - 20*c - 4. Determine m(w).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than 0.06625?\nAnswer: 4.06625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c - 209*c**3 - 2*c.\nAnswer: -209*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 40755.33263 to the nearest one hundred.\nAnswer: 40800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*v + 0 + 54*v + 0.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 52277912.46 to the nearest one million.\nAnswer: 52000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 691975 and 534?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -130616*d**4*o + 2*d*o - 12146 wrt d.\nAnswer: -1567392*d**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 2 (b) 1.1 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 45\/(-21) + 5 + (-3)\/(-21). Let f(j) be the first derivative of -t*j - 2 + 1\/2*j**2. Let c(l) = -1. Determine -3*c(a) + f(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 690382.7ml in litres?\nAnswer: 690.3827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 41715.49 centuries?\nAnswer: 50058588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 7*t + 21 - 8. Which is the fifth smallest value? (a) 1 (b) 0.6 (c) -2 (d) -3\/11 (e) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -335, -652, -1181, -1922, -2875?\n\"Answer: -106*a**2 + a - 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -2*j + 3*f, 0 = -j + 4*f - 23 + 6 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.5, -1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a kilometer in centimeters?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (86 - 308*j + 404 + 310*j)*(-5 + 1 - 2).\nAnswer: -12*j - 2940","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 464.9 + -465. What is the closest to p in 11, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 18*q**2 - 841*q + 1637. Give v(20).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 e, and 1 n when three letters picked without replacement from {v: 3, u: 10, n: 2, r: 2, a: 1, e: 1}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -412 - -415. Let l be (1\/3)\/(1\/3). Let v = 4 - l. Are v and c unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2969*c + 1477*c + 1490*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/33)\/2 - (113 + 69844\/(-418))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6253.38 millilitres to litres.\nAnswer: 6.25338","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 174 and 189.\nAnswer: 10962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a9b - 39?\nAnswer: -1b18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 54, -15, 0.01, -1\/3, -1\/6?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -137835, -275653, -413451, -551229, -688987, -826725, -964443?\n\"Answer: 10*c**2 - 137848*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -12*i - 17. Let w be p(-7). What is the common denominator of w*(-2)\/4 + 4\/2 and 333\/48*(-2)\/6?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/6386 and -37\/943423?\nAnswer: 194345138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, z: 1, l: 1, v: 4, o: 1}. Give prob of picking 1 z and 1 l.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 2 + 4. Suppose -2*m - k = -z, -2*m - k + 3 = 2*m. Solve m = r - 1 + 6 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o - o + 2*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7571, -3373, 3623, 13417, 26009, 41399, 59587?\n\"Answer: 1399*r**2 + r - 8971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*(-8)\/16*2\/(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 76\/29 <= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*c - 2 + 3 + 6*c)*(-3*c**2 - 7*c**2 + 6*c**2) to the form n + z*c**2 + q*c + r*c**3 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a day in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 1, -2 in decreasing order.\nAnswer: 1, -2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*z + 564, -3*t = -6*z + 5*z - 425. Let i be (-20)\/(-11) - (-26)\/t. Suppose -i*q + 18 + 70 = 0. What are the prime factors of q?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**3 + 10*t**2 - 15*t - 20. What is b(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 647 divided by 3763\nAnswer: 647\/3763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - j - 47854 - 26261, -5*j + 44469 = 3*d. Is 61 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3.91, -3\/4, 1, 4, 0.3, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 16) to base 8.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + c + 4. Let w be 1\/(-5) - 3\/(-15). Let y be t(w). Solve m = y*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4223230 is divided by 178?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 - -7. Let w = 16 + v. What is the remainder when -6*(-2)\/4 - -22 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 8*f = -4*p + 36, -2*f = -3*p - 18. Solve -3*s + f = -2*s + z, -41 = -4*s - 5*z for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/868 and 81\/14.\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/5)\/i**2*i**(-7)\/i*i*i**(1\/8))**39 assuming i is positive.\nAnswer: i**(-13533\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -11*n. Let g be p(-4). Let j be (6\/(-4))\/((-6)\/g). Solve 3*h = 4*w - j + 2, -5*w + 4*h + 12 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 1 + 2 - 5 + 5*g**2 - 4*g**2. Let j be d(-4). What is the highest common factor of j and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/6960 and -139\/150?\nAnswer: 34800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72 + (-5 - (43 + 39)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15*(-1)\/4 + -35 + 39?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 15. Let x(v) = -1 - b + 4*v - 5*v. Let a(d) = -d**2 + 4*d + 8. Let g be a(6). What is x(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a - 6 + 33 = 0. Find the second derivative of -19*w - 10*w**a - 9*w**3 - 17*w wrt w.\nAnswer: -114*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 453 + -449. Let g = -3.0495 + 0.0495. Which is the third smallest value? (a) g (b) r (c) 1.3 (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-1))\/((-2)\/4)*(-1633)\/(-1633)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/55)\/(4212\/(-36)*26\/(-585))?\nAnswer: -2\/143","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 - 4*s**2 + 4*s**2)*(8 - 1 + 0)*(3 + 4 - 4)*((-2 + 2 - 2)*(10 + 0 - 2) - 4 + 0 + 6).\nAnswer: 588*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.03 + -18.83. Let s = 1752 - 1733. Let t = i + s. Which is the smallest value? (a) t (b) -4\/9 (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474000 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 4*m - 1334 - 773, 4*m = -4. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 7:20 AM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*n - 196*n + 368 = 0 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1223, 2376, 3529, 4682?\n\"Answer: 1153*a + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/48, -2\/7, 27.6, -1 in increasing order.\nAnswer: -1, -2\/7, 1\/48, 4, 27.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87109, -86807, -86505, -86203?\nAnswer: -85901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*o + 14*o + 125. What is the remainder when o is divided by ((-2)\/7 + 44\/56)*42?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -7*w**2 + 7*w - 14. Let p(t) = 7*t**2 - 6*t + 12. Let s(r) = 6*n(r) + 7*p(r). Let f(i) = 7*i. What is f(s(a))?\nAnswer: 49*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 4*w**3 - 41 + 2*w**3 + 76.\nAnswer: 6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -10 + (-3340)\/(-167)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a century?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20539*y - 41069*y + 11*y**3 + 20530*y - 2 - 43*y**4 + 2*y**2 to z*y + a + f*y**2 + i*y**4 + g*y**3 and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**2\/5 + 7035968*r\/5 - 12376211424256\/5 = 0.\nAnswer: 3517984","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -2\/19, 2, 2\/43, 0, 0.84?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*3 - sqrt(27))\/sqrt(9).\nAnswer: 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1620, 2643, 3688, 4755, 5844, 6955, 8088?\n\"Answer: 11*o**2 + 990*o + 619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(209)*-2 + (sqrt(209) - 6*(sqrt(209) - sqrt(209)*-1)))*-4)\/(3*sqrt(275)*1*2).\nAnswer: -2*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6885 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-two fifths of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2. Let o be -5*12\/(-110) + (-3060)\/(-198). Let p(w) be the third derivative of 0*w + 0 + 0*w**4 + o*w**2 + 0*w**3 - 1\/3*w**5. Calculate p(a(c)).\nAnswer: -20*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 47*d - 99*d - 2 = -3*w - 54*d + 2, d + 4 = -3*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, k: 2, i: 6}. What is prob of sequence sisi?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 64 = -3*c. Suppose 5*n = 14 + c. Let p be (2 - 1)\/(2\/n). Solve -r = p*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -20*62\/(-100)*(-1390)\/(-4) is divided by 1432.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1989388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 1507*k. Let l(n) = 3007*n. Determine -5*j(u) + 3*l(u).\nAnswer: 1486*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of 5*w**3\/6 - w. Let l be 3 + (6 - 8\/2). Let j(q) = -6*q. Determine l*g(y) + 4*j(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3342 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 782, 830, 882, 938, 998?\nAnswer: 1062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -315*i**3 - 236*i**2?\nAnswer: -1890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10764400 rounded to the nearest one hundred thousand?\nAnswer: 10800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g**(1\/3)))**23\/(g**24\/g*g)**(-4\/7) assuming g is positive.\nAnswer: g**(127\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -3. Find the common denominator of 29\/9 and ((-44)\/(-5))\/w - 3.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 9:55 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -q**4\/4 - q**3 - 3*q**2\/2 - 4*q + 5. Let l be n(-3). Let m = -0.2 - 4.8. What is the third smallest value in 1\/7, m, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-118)\/(-3)*(-9)\/(-6).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 205\/9488 + -989041\/26234320. Find the common denominator of m and 51\/110.\nAnswer: 60830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -195\/4 or -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ru when two letters picked without replacement from rrruuuuuruuru.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 f, and 1 h when three letters picked without replacement from hjjjffbqqbkfjf?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 107437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2.9 * 63.1\nAnswer: 182.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2314659 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -5*j + 14. Let s be h(4). Let o = 1617 - 22667\/14. Calculate the common denominator of o and 3 - 417\/(-432) - s\/27.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 6*u = -y - 8, -8*y = u - 26 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12757.02 millilitres to litres.\nAnswer: 12.75702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 156 and 26.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(27\/9))\/(7\/(-2)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k + 11. Let t(a) = a - 11. Let y = 4 + -1. Let w(n) = y*t(n) + 4*c(n). Is 3 a factor of w(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -7. Let v = -7 + w. Let x = v + 2.7. Which is the nearest to -2? (a) x (b) -0.4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(2\/(-6))\/((-18)\/(-648)*16). Which is the biggest value? (a) -3 (b) -8\/7 (c) v (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*1)\/(27\/(-36)*-44).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 9*w. Let d be a(9). Suppose 2*h + h - 21 = d. Let g(z) = -z**2 + 8*z - 10. Calculate g(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -1 - 75*u**3 - 38*u**3 - 380*u**3 + 9*u**2 - 9*u + 14*u**3. Let m be s(-9). Round m to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g + 27*g - 13*g + g - 4*g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*b + 37*b + 17*b + 27*b.\nAnswer: 63*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*b - 2*n + 124 = 0, 5*n = -3*b - 154. Let h(l) = l**3 - 42*l**2 + 41*l - 56. Let u be h(41). Let f = u - b. Solve y - f = -1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 17*i**2 + 3*i - 5. Let h be n(2). Let a(k) = 7*k - 5 + 14 + h*k**2 + 24*k**2 + 15*k**2. Let q be a(-11). What is q rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.058236 from -22942.1.\nAnswer: -22942.041764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -67*j**3 + 10*j**2 - 5. Let b(q) = -168*q**3 + 24*q**2 - 12. What is -5*b(n) + 12*w(n)?\nAnswer: 36*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.35925 to 0 dps.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -18? (a) -0.4 (b) -8 (c) 77\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(32) + (-5*sqrt(8) + sqrt(8))\/sqrt(4) + sqrt(2))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11808 + -10687. Calculate the least common multiple of q and 38.\nAnswer: 2242","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*y + 6*y - 3*y + 8*y**2 + 10.\nAnswer: 8*y**2 - 14*y + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/4 - (-55)\/20. Let k be -1*14*c\/(-3). Calculate the greatest common factor of k and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 8*g - 4*g + 3*s, 0 = 5*g + s - 3. Let m(f) = 2*f**2 + 24*f - 22. What is the remainder when m(-13) is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by -3188227?\nAnswer: -15\/3188227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - -3)*(2 + -6). Let c be (-4)\/12 + (-2)\/3. Let z be 4\/((2 - 1)\/c). Sort n, 1, z in ascending order.\nAnswer: z, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152824.7 milligrams in nanograms?\nAnswer: 152824700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*v - 97*v = 108 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-5*3*(-1 + sqrt(1008)*-4*3))**2.\nAnswer: 583200*sqrt(7) + 293934825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**2. Let n(u) = 120*u + 60. Let c(m) = 17*m + 8. Let r(p) = 15*c(p) - 2*n(p). Give r(i(x)).\nAnswer: -30*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-114)\/18)\/(4\/(-2*6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 989 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 2*n + (3*n + 4*n - 5*n)*(4 - 4 - 1) - 2*n - 2*n + 2*n + 2*n - 2 + 2 + 3*n + 8 - 8 - 2 + 2 + 3*n.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tun when three letters picked without replacement from rouuuuddtrurnttuut.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -d**5\/12 - 59*d**4\/24 - 39*d**3 - 16*d**2 + 1. Let l(q) = q**2 + 12*q + 47. Let g(i) = -22*l(i) - 4*z(i). Factor g(w).\nAnswer: -2*(w + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000059136 to seven decimal places.\nAnswer: -0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6603313727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47874778?\nAnswer: 2, 7, 1721, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(2\/17))\/((v*v**(-17))\/v))\/(v**(3\/19))**(15\/8) assuming v is positive.\nAnswer: v**(45443\/2584)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43590684 is divided by 351?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4\/39 + -7\/26. Which is the closest to u? (a) -2\/9 (b) -5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 1 = -3*w, -3*w + 9 = -3*z - 6*w. Let x(q) = 3*q**2 + q. Determine x(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -3*v + v. Let p be v\/(-35) - (-20)\/(-42). What is the closest to 2\/3 in 2\/15, p, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14763083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101 (base 3) in base 10?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7014589799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4\/29, -9, -1\/2, 0.1, 0.\nAnswer: -9, -1\/2, 0, 0.1, 4\/29, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 3*k + 15 = 0, 0*j - j - 4*k - 11 = 0. Which is the nearest to -0.1? (a) -2 (b) 1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, g: 3, a: 4, c: 1, w: 2, x: 6}. Give prob of picking 1 c and 1 a.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 334 + -306. Suppose 4*p + 2*f + 0*f - u = 0, -5*f + 22 = 2*p. Calculate the remainder when 21 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1976, -2023, -2102, -2213, -2356, -2531?\n\"Answer: -16*s**2 + s - 1961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:19 AM and 5:58 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ruruuuuurr. What is prob of sequence uuu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (10535*z + 3 - 160*z**2 - 10535*z)*(-6*z**2 + 15 - 15) in the form i*z**3 + d*z**2 + t*z + g*z**4 + k and give g.\nAnswer: 960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/3 (b) 182 (c) -7 (d) 4 (e) -7.62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/12 - 4\/(-3)*11055\/880?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -8*a**3 - 10*a - 10. Let h(s) = -3*s**3 - 3*s - 3. Suppose u - 13 = 2*y, 0 = -4*y - 18*u + 17*u - 23. Calculate y*l(t) + 20*h(t).\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 20*o**4 + 6*o**3 + 8*o**2 + 6. Let t(x) = -19*x**4 - 5*x**3 - 7*x**2 - 5. Let r(b) = 5*f(b) + 6*t(b). What is the third derivative of r(i) wrt i?\nAnswer: -336*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3592.\nAnswer: 2, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + (2 + -3 - -151). Let f be (-28)\/p - (-62)\/(-22). Is 19 a factor of 1720\/30 - (-1)\/f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44012, 88060, 132162, 176342, 220624, 265032, 309590, 354322?\nAnswer: 399252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 8*c. Let l(g) = -330*g**2 + 426*g**2 - 6 + 6. Determine u(l(j)).\nAnswer: 768*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 1:07 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000424 to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19120 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence alfa when four letters picked without replacement from {f: 7, a: 2, l: 1}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -38*i**3 - 17*i + 17. Let f(w) = -46*w**3 - 32*w + 18. Let v(m) = -31*m**3 - 22*m + 12. Let a(g) = -5*f(g) + 7*v(g). What is 17*a(t) + 6*b(t)?\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 20*u + 49. Let j(o) = -o**2 + 7*o - 4. Let i(p) = -p**2 - 17*p - 11. Let y be i(-16). Let t be j(y). What are the prime factors of b(t)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*r + 66 = r, -3*r = k - 51. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1724790242?\nAnswer: 2, 7, 123199303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*o**2 - 84*o + 1 - 321*o - 21*o**2 + 32*o**2 in the form t*o + j + b*o**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12953 times -125\nAnswer: 1619125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 0 (c) 20 (d) 2 (e) -726\/25 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 - 5 + 3)*(-4 + 0 + 6) + 0 + 3 + 0)*(-81*l**4 - 7108*l**2 + 7108*l**2) in the form c + t*l**2 + m*l**4 + o*l**3 + s*l and give m.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of 7\/2*x**2 - 8 + 3*x. Differentiate i(m) with respect to m.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(1\/13))\/y)\/y*y**(-1)*y)**40 assuming y is positive.\nAnswer: y**(-560\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -221 (base 4) in base 2?\nAnswer: -101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -11305*v**2 + 5*v - 20. Let c(x) = x**2 - x - 27. Let k be c(5). Let n be q(k). Round n to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g**2 - 40*g + 31. Let l be j(-14). Factor 0*c**2 - 9*c - 8*c - 6*c - 2*c**2 - c + 2*c**l.\nAnswer: 2*c*(c - 4)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -50. Suppose -4*i + 0*i - k = 0. List the prime factors of (-78)\/4*6\/i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -16, -10, 0, 14?\n\"Answer: 2*d**2 - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1535989 bigger than -1535992?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 4) + 5414 + -5481.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -81874\/5 or -16375?\nAnswer: -16375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 43022 (base 9) in base 10?\nAnswer: 28451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.0776, -2\/21, -3, -2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10729568*p - 8483490?\nAnswer: 10729568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5678, -4284, -2866, -1412, 90, 1652, 3286?\n\"Answer: 2*j**3 + 1380*j - 7060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.08304 - -0.017289. Round l to four dps.\nAnswer: 0.1003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (72\/7)\/((-15)\/(-140)). Suppose -k + 3*w + h = 0, 3*w - w - 91 = -k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224b9 (base 13) in base 15?\nAnswer: 13714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 21824 = 5*x, 20*x = 3*l + 17*x - 21834. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 2a43a?\nAnswer: -2a435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*34\/(-255)*-20?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u**2\/4 + 54765*u\/4 - 7823 = 0.\nAnswer: 4\/7, 7823","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 s when three letters picked without replacement from {e: 3, c: 1, u: 2, x: 2, q: 1, s: 6}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, 4, 0.5, 5, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - x = 9, -3*x - 1463 + 1447 = 4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5228274907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 (base 13) in base 4?\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in -4, 0.4, 1\/2, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(285) - (sqrt(285)*2*3 + sqrt(285) - sqrt(285)))\/(sqrt(45)\/sqrt(36)))\/(-1*sqrt(75)*4 - -4*(sqrt(75) - sqrt(75)*2)).\nAnswer: sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 837040 divided by -2.\nAnswer: -418520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u**2 + 9*u - 11. Calculate h(5).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (14 + -13)\/(-5*(0 - 1)). Let m = 39 + -38. What is the fourth biggest value in j, -0.1, 0.1, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 24*p - 46. Suppose -5*a + 2*t - 192 = -1214, -3*t - p = 0. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-4*(sqrt(1584) + sqrt(44))\/sqrt(4))**2 + -1*(sqrt(704) + 0)**2*-1)*-4.\nAnswer: 100672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 5*g + 0*g**3 - g**2 + 0*g - g**3 + 3. Let b(f) = 4*f + 21. Let l be b(-6). What is the units digit of d(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 70383224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.089 + 0.511. What is the third smallest value in -0.025, h, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 8, m: 2, r: 2, e: 1, h: 7}. Give prob of sequence herr.\nAnswer: 7\/58140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 8946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-387)\/(-12))\/(171\/56 + -3). Let b = -600 + g. Solve -b*m - w = 2*m - 4, -2*m + 2 = 2*w for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237*k = -253*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/662 and 63\/662.\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 308855100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -1681.14.\nAnswer: -504.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2199 - 6989 = -5*p, 2*j - 1904 = p. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f**3 - 8*f**2 - 5*f + 4. Let u be g(3). Let i be (-12)\/(-4) + -334 + (u - 2). Let t = 529 + i. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3744\/(-189) - -24) + -6 + (-7 - (-1375)\/105)?\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-8)*(-24)\/(-9). What is the second derivative of -2*b**d + 11*b - 8*b**5 + 70*b - 22*b wrt b?\nAnswer: -160*b**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5984975 divided by 4\nAnswer: 5984975\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, z: 1, t: 3}. What is prob of picking 1 d, 2 t, and 1 z?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.08, -1\/2, -1\/7, 1\/5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oc when two letters picked without replacement from cvcocoiciicodcicvi?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**2\/3 - 14*h\/3 = 0. Calculate h.\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -433 = 5*n - 93. Let m = n - -101. Suppose 81 = 3*g - 0*g. What is the lowest common multiple of m and g?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f - 135644595 + 135644595.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v = -69*z + 71*z + 22, -3*z - 9 = -v for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -484953*10.\nAnswer: -4849530","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 6552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 9)*(6 - 2*o - 2 - 2).\nAnswer: -18*o + 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 57aa848 (base 11) in base 15?\nAnswer: d562d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -85 + ((-21690)\/(-5400) - -81)?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-20)\/(-30)*2)\/(2\/(-30)*4). Let v(w) = -63*w - 7. Let t(j) = 32*j + 4. What is u*t(c) - 3*v(c)?\nAnswer: 29*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v - 63 = 13*v. Suppose 0 = 3*k - 19 - 107. Calculate the greatest common divisor of k and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -3*y + h + 77, -y + 44 = -5*h. Suppose -y - 10 = -x. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 475 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04 times 12.85724?\nAnswer: -0.5142896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -0.5, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/6 + 1\/2. Let l be 3\/(-3) + 1 + u. Let q be (-3)\/(l - 2829\/2820). What is q rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30 + (-1 - -3 - 1) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -5*a**4\/4 - 55*a**3\/3 - 60*a**2 + 180*a - 41. Factor h(m).\nAnswer: -5*(m - 1)*(m + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248809001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13929*c**3*w**2 + 2*c**3*w + 2199*c*w**2 - 10*c*w - 3*w**2 wrt c.\nAnswer: -83574*c*w**2 + 12*c*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12645430 and 21670.\nAnswer: 1970","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-81)\/9 - 2\/((-2)\/(-3)). Suppose -a + 5 = 5*b, -2*a + 13 = -5*a - b. What is the nearest to t in 0.5, -0.5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8563069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 4*d + 27*k - 30*k - 193, -4*k - 16 = 0 for d.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1040763*y**3\/4 - 3819665*y**2\/4 + 12961*y\/4 - 11\/4 = 0. What is y?\nAnswer: 1\/589, 11\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0022036*-0.2.\nAnswer: 0.00044072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(((4*sqrt(210) + sqrt(210))\/sqrt(7))\/(sqrt(40)\/(sqrt(4)*-2)))**2.\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*q + 1502*q + 6457*q = -898596 for q.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38284.\nAnswer: 2, 17, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 26. Let v = 6 - 4. Suppose -3*p + v*p = -2*o - 10, -4*p - 4 = 3*o. What is the remainder when t is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j + 14. Let k(o) = -2. Let r(b) = -3*k(b) - p(b). Let t be r(2). Solve -g - 9 + 10 = t for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -17.9. Let h = 0.7 - k. Which is the second biggest value? (a) -2 (b) -0.5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 162544 - 109344. Let q = 53198.98334 - b. Let d = -1.02 - q. Round d to 4 decimal places.\nAnswer: -0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 1:55 PM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10556*x**3 - 460431*x + 460431*x.\nAnswer: 10556*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.43336 and -1.\nAnswer: 1.43336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24352 and 72151932?\nAnswer: 3044","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 6:56 PM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -60.153 - -0.153. Let z = p - -58.18. What is z rounded to one dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(12)\/sqrt(100) + sqrt(3)))**2.\nAnswer: 432\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -18\/490205 and -81\/2.\nAnswer: 980410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**3 - 5*m**3 + 4*m**3)*(-m - 3*m + 3*m) - 6*m**2 + 2648 - 5339 + 2656 - 2*m + 10*m**4.\nAnswer: 11*m**4 - 6*m**2 - 2*m - 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 4*o + 1. Let n = 11 - -7. Calculate the smallest common multiple of q(-3) and n.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**3\/(p\/p**(2\/5))*(p**(2\/5))**(-7))\/((p*p\/p**1)\/(p**4*p)*((p\/p**(-5))\/p*p)\/p*p*(p\/(((p*(p*p**(-6))\/p*p)\/p)\/p))\/p) assuming p is positive.\nAnswer: p**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, d: 4, a: 2, i: 3, q: 1}. What is prob of sequence dcd?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 2*a**2 + a. Let c be z(1). Let b be 7\/77*(-6)\/(-47). Let f = -8\/47 - b. Which is smaller: f or c?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 284174093 rounded to the nearest one million?\nAnswer: 284000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 5*p - 21, 10*p - 5*v = 13*p + 17 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 386709?\nAnswer: -1546836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/((-1140)\/(-9)))\/((-269)\/(-2690))?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6465 and 7857130?\nAnswer: 2155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sxssxxssxxsxxxsxsxs. Give prob of sequence ssss.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - s - 3. Let b(q) = q**2 - q - 2. What is -3*b(g) + 2*f(g)?\nAnswer: 2*g**3 - 3*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of f**6\/120 + 3*f**5\/20 + f**4\/3 + 4*f**2. Let j be r(-8). Suppose 4*x - 1035 - 1697 = j. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 5)*(-8*a + 52 - 52) to the form d*a + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9035 a factor of 4140153225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -936 divided by 4\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23939?\nAnswer: 37, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-7\/5)\/(q\/(((q\/q**36)\/q)\/q))*(q*q**34*q*q*q)\/q**(2\/49))**(-2\/45) assuming q is positive.\nAnswer: q**(706\/11025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 95 + 65 = 0. Let d(j) = 8*j - 21*j + k*j. Let r(f) = 6*f + 20*f - 4*f. Give d(r(n)).\nAnswer: 44*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -243 + h**2 + 243 to the form l*h**2 + q*h + p and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 39963752 divided by -9990938?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -57434*i**4 - 20956*i**2 wrt i.\nAnswer: -1378416*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 4:18 PM?\nAnswer: 11:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 34, -186 in decreasing order.\nAnswer: 34, -5, -186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 498403\/159726 - 5\/3803. What is the common denominator of t and 83\/16?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59157, -59179, -59217, -59277, -59365, -59487, -59649, -59857?\nAnswer: -60117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 14*z**2. Let w(o) = -o**2 + o + 6. Let y(v) = -70*v**2 + v + 6. Let h(k) = w(k) - y(k). Determine h(n(a)).\nAnswer: 13524*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11 (b) -0.7 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - p**2 + p + 1. Let g(i) = 5*i**3 + 10*i**2 + 4*i + 4. Determine g(w) - 4*z(w).\nAnswer: w**3 + 14*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -241 + 119 + 122 - 517*p + (-p + 3*p + 0*p)*(-1 + 4 - 1) - 3*p + 3*p + p in the form u*p + y and give u.\nAnswer: -512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 11*g + 50. Suppose -16*r + 127 = -17. Is d(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.1 - -1.1. Sort 0, w, -1 in decreasing order.\nAnswer: 0, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 2681?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -378328789 * 1\nAnswer: -378328789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - 3*m - 12, 3128*m - 3130*m = 2*b - 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-28413\nAnswer: 8523.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9\/6)\/((12\/16)\/1). Suppose 0 = 5*u - 2*s + b - 12, -u + 4*s + 2 = 0. Suppose 0 = -2*o + 2*a + 10, -4*o + u*a = 5 - 19. Solve 0*r - r = o for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3336397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3.4043, 7, -68\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -251 - 674 = -5*w. Let n be 9\/24 - w\/(-40). Suppose n*x = -3*l + 91, -3*x - 73 = 2*l - 6*l. What is the remainder when 65 is divided by l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-50 - 5)*(-5 - 369\/(-45)). Is -1234\/7 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 14) in base 9?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 7 - 5. Suppose -2*z + 7 = x. Find the third derivative of u**4 + 0*u**4 + 5*u**4 - 4*u**4 + 10*u**z wrt u.\nAnswer: 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2704?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1501.45 rounded to the nearest 10?\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2 + s + 2 + 0 - 2. Let p = 176 + -182. Let g(j) = -9*j + 17. What is p*g(z) - 51*o(z)?\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2200 and 440.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.8336 + 0.8336. Let c be 3*(3 - 4) - 0. What is the closest to -1 in 0, 1\/4, c, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 2*m = 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59885748?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-2*sqrt(11) - (2*sqrt(704) - sqrt(11))**2 - ((sqrt(275)\/sqrt(5))\/sqrt(5) + (sqrt(55)\/sqrt(5)*-5)**2).\nAnswer: -2750 - 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*1\/5)\/(155\/(-3875)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 163876408 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 109*m - 491. Let l be a(4). Sort -1, l, 2, -4.\nAnswer: l, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 292\/(-1606)*((-1595)\/(-22) - 1).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3621 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + -3 + 1 + 2. What is the closest to 1 in -5, -0.3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -489 - -302. Let m = 267 + b. Let h = m - 5. Is 16 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 427.264 milligrams in tonnes?\nAnswer: 0.000000427264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 4*d + 132 = 0. What is the remainder when d is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -4. Solve l + 1 = f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88*-0.5\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 50934 divided by -4446?\nAnswer: -653\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2*v = 2, -3 = n - 5*n + 5*v. Which is the second biggest value? (a) 0.5 (b) 6\/7 (c) -0.5 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 13. Which is the closest to 2\/7? (a) 0 (b) t (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -4*d**2 + 1. Calculate c(3).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3994\/(-20016))\/(46\/(-1023)). Let t = p - 1\/9591. What is the common denominator of -93\/2 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52 by 52.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 9.3. Let z = 5.04 + -0.04. Which is the second smallest value? (a) z (b) o (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 2\/11, 2, 0.52465?\nAnswer: 0.52465","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25\/3 + 97\/12. Let a = 58 + -55. Let f = 0.05 - 2.05. What is the nearest to f in u, -4, a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 and -29\/10581?\nAnswer: 10581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2 + 171*r - 197. Let h be q(-87). What is the highest common divisor of h and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n - 106*n**2 + 4*n - 6*n.\nAnswer: -106*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 43 and 1716001?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 3 - (9 + -15 + 8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -14*b - 2. Let h be g(-1). Suppose 4*f = h - 28. Put 3, f, -2 in decreasing order.\nAnswer: 3, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.6 (b) 0.06 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 801 + 311. Let l = -1728 + h. Which is bigger: -617 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 0)*(g + g - 4*g)*(0 + 2 + 1)*(1 + 1 + 0 + (0 - 3 + 1)*(3 - 3 - 1)).\nAnswer: 72*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o - 13*o - 24*o + 1 + 0 + 22*o.\nAnswer: -20*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26645 is divided by 722.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00409931 to three decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 10*g**3. Calculate c(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q**4 - 22758861*q**3 - 1083636*q - 3 wrt q.\nAnswer: -24*q**2 - 136553166*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-4)*-4 - 1. Which is smaller: 3\/5 or c?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -135971*i**2 - 185*i + 248.\nAnswer: -271942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 6\/19 (b) 0 (c) -26 (d) 1 (e) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -33300?\nAnswer: 33232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 5:02 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 17*y - 10. Let v be s(-12). Let w = v - -57. What is the remainder when w is divided by 58?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 11*c + 1. Let j be i(1). Let a be (4\/6)\/(j\/18). Let f = a - -29. Does 10 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -13, -2160, -1\/2, -0.08, 3, 0.5?\nAnswer: -2160","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -33456\/53 and -631 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/2)\/(1\/(-4)). Let y(t) = -1. Let q(j) be the second derivative of j**3\/6 + 3*j**2\/2 + 8*j. Let x(w) = -q(w) - 4*y(w). What is x(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 3:58 PM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/35)\/((-442)\/(-83538))?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**2 - 86 - 4*f**2 + 6*f**2 - 152 to x*f**2 + y*f + c and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kakkvkvd. What is prob of picking 1 v and 1 k?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*g**3*i*n - 1558826*g**3*i - 2*g**2*i - 4813569*i*n wrt n.\nAnswer: -2*g**3*i - 4813569*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.2 + 0.19. Let x = s - -0.21. Sort 6\/5, -4, x.\nAnswer: -4, x, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 822, 453, -166, -1035, -2154?\nAnswer: -3523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*m)*(-4 + 22 + 1).\nAnswer: 38*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5*c**2 - 4*c - 2. Let y(w) = 4*w**2 - 4*w - 1. Let l(b) = 5*j(b) - 6*y(b). Suppose -4*x + 29 = 5*f, -4*f - 4*x + 22 = -2. Does 14 divide l(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78204064 a multiple of 1049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -275 divided by -3?\nAnswer: 275\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 18514156?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -723, -1350, -1967, -2568, -3147, -3698, -4215, -4692?\nAnswer: -5123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -160587?\nAnswer: -160603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -247*t**2 - 3*t. What is m(2)?\nAnswer: -994","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 27*m. Let t be z(3). Suppose 0 = 2*n - t + 9. Suppose 5*k - 5 = 4*v - 31, -5*v + 55 = 5*k. What is the highest common divisor of n and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 8)*(-1 + 2). What is the first derivative of -100*j + 98*j + 1 - 1 + f wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -142287, -142274, -142261, -142248, -142235, -142222?\nAnswer: -142209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 25 - 1d53e?\nAnswer: -1d519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y + 12. Let k(n) = 11. Let o(r) = 7. Let q(l) = -4*k(l) + 6*o(l). Let j(i) = 6*q(i) + u(i). Let g(v) = 28*v**2. Calculate j(g(s)).\nAnswer: -28*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 24878.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 1)*(-152 + 299*d - 138 + 291) + 1 + 3 - d - 5.\nAnswer: -898*d - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 8 = 4*g. Let n = -7 + 8. What is the smallest value in n, -0.5, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7d1bc5 (base 16) to base 11.\nAnswer: 46a0126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**2\/2 + 4687*t\/2 + 2343 = 0.\nAnswer: -4686, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41564706?\nAnswer: 2, 3, 1087, 6373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-116)\/(-14) + 4\/(-14). Suppose j + 2*s = -6, 3*s = 2*j + 5*s + o. Put 1, -29, j in ascending order.\nAnswer: -29, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 96609050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 543 (base 9) to base 4\nAnswer: 12330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24 + -14. Let a be -37 + 35 + (28*8)\/2. Calculate the greatest common factor of t and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**3 - 2*m**2 - 45 - 4*m + 115 - 61 to the form l*m**3 + v*m + w*m**2 + d and give d.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.0132 times -3\nAnswer: 0.0396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 2*s**2 + 9*s + 1. Let l(j) = j**2 - 1. Let p(f) = 4*l(f) + r(f). Suppose -2*h + 2 = -12. What is the units digit of p(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000082676371 to seven dps.\nAnswer: 0.0000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -74167 divided by -85?\nAnswer: 74167\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2*4698\/609*14\/(-8)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -2. Let s be 2\/(-2)*(5 - 0). Sort s, -1, l in increasing order.\nAnswer: s, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -41*i**2 - 6*i - 6. Let n(f) = 245*f**2 + 35*f + 35. Give -6*n(o) - 35*v(o).\nAnswer: -35*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i - 12. Let c be z(16). Let n be (-6)\/3 + 5 + (c - 1). Let a(x) = n*x + 7*x - 8*x + 4*x. Let b(g) = 2*g**2. Give b(a(q)).\nAnswer: 162*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/337024 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3793538742 to the nearest integer?\nAnswer: 61592","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 6 = 0, -5*m + 27 = 3*f + 11. Suppose 5*t = 4*t. Solve 5*u - m*i + 4 + 24 = t, 2*i - 24 = 4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 67 = 3*g, -2*o - 56918 = -4*g - 56990 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/50 of a gram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1229969460 to the power of 1\/2, to the nearest integer?\nAnswer: 35071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -301 - 11?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - u - 4. Let y be l(-2). Let k(f) = -f - 2*f**2 + 0*f + 0*f + 4*f**y. What is k(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 14*y**2 - 2*y - 4. Suppose -8 + 14 = -3*s. Let t be q(s). Find the second derivative of t*a**2 + 15*a**4 - 4*a - 56*a**2 wrt a.\nAnswer: 180*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293792 is divided by 146888.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(98)\/sqrt(2) - sqrt(147)\/sqrt(48))\/(1*sqrt(896)\/sqrt(8)).\nAnswer: -17*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 19?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + 5 + (-1 + sqrt(432))*5).\nAnswer: -60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1499.9 + -1499.90007567. Round w to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-4) + ((-180)\/144 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 2*x + 1. Let r = -120 - -121. Let w be o(r). Solve w*s = 6*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 116 + -116. Suppose 0 = 5*c, 4*n = 2*n - 5*c + 12. Solve x = n*i - i + 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-169)\/((-144495)\/90)*(40\/(-12))\/(-5).\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*j - 4*q + 31, -5*j + 4*q = -40. Calculate the remainder when 71 is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3055962 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14543 take away 20.667560051?\nAnswer: -20.522130051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 359*v - 2635 = 342*v. What is the greatest common factor of 80 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13289 != 13290?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6 + -8)*(12\/(-3) - -2). Solve 0 = w*c - 14 + 2 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5968016629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -51346 and -2\/9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4, -15, -28, -43, -60, -79?\n\"Answer: -i**2 - 8*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/(-18) - 894\/(-36).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 8*u**3 + 3*u - 4. What is the tens digit of i(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3006531 (base 9) to base 12\nAnswer: -65150a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 3*v + 3*v - 8)*((2*v + 4*v - 3*v)*(6 + 6 - 2) - 5*v + 4*v + 0*v + (4 - 5 + 0)*(v - 4*v + v) + 0*v - v + 3*v + 1 + v - 1).\nAnswer: 204*v**2 + 34*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 3*c + 3*v - 387, 0 = -v - 4. Suppose -5*y + 50 = -135. Suppose -o = 5*a - y, -4*o - o + a = -c. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28091 - -28089. Which is the nearest to 3? (a) -3\/2 (b) v (c) 132 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2463986 is divided by 615951?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4314637136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, u: 2}. What is prob of sequence uunn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + 2. Find the third derivative of 0*k**5 - 2*k**2 + 0*k**5 + 3*k**b wrt k.\nAnswer: 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4517 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7358 - -7403. Suppose -5*v + 9 = -6. Suppose v*n - 45 + 0 = 0. What is the highest common divisor of d and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2.49 in -0.3, 271, 1\/6, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000126673 rounded to seven decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2\/5 + 24594912*u\/5 + 270543669\/5.\nAnswer: 3*(u + 11)*(u + 8198293)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1156353.74 rounded to the nearest one hundred?\nAnswer: 1156400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 91344 + -14615139\/160. What is the common denominator of -59\/40 and g?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of -d**4\/4 + 4*d**3\/3 + 2. Find the third derivative of w(v) wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 202 + 12?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f + 1177 - 10*f**3 + 29*f**3 - 1181 as v + a*f + h*f**3 + s*f**2 and give h.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38226, 38217, 38204, 38187, 38166, 38141?\nAnswer: 38112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - w. Let g(b) = 10*b**3 + 2*b**2 + 5*b - 3. Give g(n) + 5*t(n).\nAnswer: 5*n**3 + 2*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 4, 35, 1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1319 + 1828. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -614 or -615?\nAnswer: -614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -70 + 69.23. Let y = -0.23 + d. Which is the third biggest value? (a) -2\/3 (b) -0.1 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3 = -3*a. Suppose 5*c = o + 17, -3*o + 25 = 7*c - 3*c. Put c, -6, a in ascending order.\nAnswer: -6, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, t: 3, n: 4, r: 1, l: 8}. What is prob of sequence ol?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 + -0.3. Let d = -29 - -28.8. What is the closest to t in 0, -0.3, d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**3 - 144*z**2 - 793*z + 1671. What is c(77)?\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 306 and 15?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2085, 2717, 1895, -387, -4135, -9355?\nAnswer: -16053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 461115.\nAnswer: 3, 5, 10247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (6 + 56\/(-6))*(-2)\/4\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.881773 seconds in hours?\nAnswer: 0.0183004925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3\/5)*t*t)\/(t\/(t\/t**(2\/23))))\/((t\/t**4)\/(t**(2\/15)\/t))*(((t*(t*t\/(t**(4\/5)*t))\/t)\/t)\/(t**(-3)\/t))\/(t**0)**(-8\/5) assuming t is positive.\nAnswer: t**(2293\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 111391 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2249000 rounded to the nearest one hundred thousand?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 5*t**2. Let s(i) = -474*i - 46. Let p(g) = 76*g + 8. Let m(l) = -23*p(l) - 4*s(l). Determine o(m(f)).\nAnswer: 109520*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12529.\nAnswer: 11, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10101020 (base 4) to base 7\nAnswer: -101651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (3\/3)\/(-1). Suppose 7*x - 4*x + 15 = a. Let z = x - -7. Solve -w - z = w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*-9 + (-18312)\/(-2016). Let x(i) be the third derivative of 0 + 0*i**4 + 0*i + 5\/6*i**3 + 2*i**2 - r*i**5. Determine m so that x(m) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3814, -7634, -11452, -15268, -19082, -22894?\n\"Answer: a**2 - 3823*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 9099*y. Let n be x(2). Suppose 5*h - p + n = 3*p, -5*h - 18204 = -2*p. Let q = 4343 - h. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 147 = 102 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 3*i**2 - 21*i + 23. Let m be r(5). Round m to 1 decimal place.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 - 1 + 5)*(0*t + 4*t - 6*t) - 4*t + 60*t - 33*t)*(-2*t**2 + t - t) + 3*t**3 + 36*t**3 + t**3.\nAnswer: -10*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -6*x**3 - 4*x**2 + 5. What is o(-2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42200486 + -708335158153\/16785. Let g = -6\/373 - n. Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 619.79 + -620. Is q <= 19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 6*p - 33. Let n be h(6). Suppose 17 = v + x, 2*v = v + 4*x - n. Suppose -v*b = -2*b + 66. Is 2 < b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 522 = 27*c - 180 - 54. Solve -m + s = 5, 2*m + 25 = -31*s + c*s for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1060, -2142, -3212, -4264, -5292, -6290, -7252?\nAnswer: -8172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5093, -8278, -7625, -1214, 12875, 36562?\nAnswer: 71767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 3230191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4034232 (base 5) to base 14.\nAnswer: 1994a","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2 = -23. Let s(n) = n**2 + 7*n + 15. Let l be s(q). Suppose l*k = 13*k + 372. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) + 2*sqrt(77))*-5)\/(sqrt(847)*-2).\nAnswer: 15*sqrt(11)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of -5\/8*x**4 + 4*x**2 - 4*x + 0 + 2\/3*x**3. What are the prime factors of s(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (545 + -542 - (-38 - (1 - 2)))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 6*w - 25. Let u be n(5). Let s(i) = i - 7. Give s(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 202.9236 and 28004.66.\nAnswer: 28207.5836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 194.1 * 3.3.\nAnswer: 640.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9750 and 1875.\nAnswer: 48750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02 + 2.98. What is the third biggest value in h, -2, -1, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.06 + 0.06. Let x be (-52955)\/95676 + (-42)\/(-72). Do x and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 4*h**2 - h + 5. Let x(v) = -6 - 10*v + v**3 - 8*v - 5*v**2 + 19*v. What is -6*f(j) - 5*x(j)?\nAnswer: j**3 + j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4 and 19298.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16322*p**3 - 16324*p**3 + 32661*p**3.\nAnswer: 15*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.06984 times 66\nAnswer: -4.60944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 4)*(2*i**3 - 3*i**3 + 0*i**3) - 10*i**3 + 4*i**3 + 15*i**3 to the form m*i**3 + o*i + r*i**2 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*r - 17784 = -17*r - 767*r + 4160 for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**2\/2 - 3642*v - 213120 = 0 for v.\nAnswer: -2368, -60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u. Let a(q) = -q**2 - 3*q + 5. Suppose 0 = 3*o + 5*b - 10, -2*b + 6 = -o + b. Let p be a(o). Let z(d) = p + 1 - 6 - 5*d**2. What is c(z(k))?\nAnswer: 15*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5604101\/23671824 - -1\/986326. Find the common denominator of -65\/21 and l.\nAnswer: 3696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -62.03 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -162629029298*h**2\/3 + 11406280*h\/3 - 200\/3.\nAnswer: -2*(285157*h - 10)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -z**4\/24 - 5*z**3\/6 + 9*z**2. Suppose 0 = d - 5*d. Let x(a) = 0 - a + d*a - 6. Calculate 4*w(b) - 3*x(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + (-5 + 16 + -8 - 2) - 4?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11775 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 29*k. Let f(p) = 4918*p**2 + p. Determine f(t(q)).\nAnswer: 4136038*q**2 + 29*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 6*q - 7. Let x be n(-6). Let c = x + 7. Suppose -5*t + 6*f - f = -80, -5*f + 5 = c. Does 17 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6907 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**2 + 40*h + 44 = 0.\nAnswer: -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/135, 403, 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1278, 1381, 1596, 1959, 2506?\nAnswer: 3273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + p - 53 = 0, 4*x - x + 4*p = 156. Suppose -4*d = -4*w + x, 3*d + 56 = -0*w + 4*w. Suppose w = -5*z - 1. Is -3 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 93940.81 hours?\nAnswer: 5636448.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 22 = -4*c + 3*s, 2*c = -2*s + 14. Solve -14*z - 57 = c*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*l + 1\/10*l**5 + 0 - 1\/2*l**2 + 1\/10*l**4 - 3\/10*l**3.\nAnswer: l*(l - 2)*(l + 1)**3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 1. Let v(f) = 23*f**2 - 1. Calculate the remainder when 64 is divided by v(p).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 11. Suppose -4 = 3*f + 2*w, -l*f + 4*w = 2*w + 8. Let h(r) = -3*r**3 - 2*r**2 + r + 1. Give h(f).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*x + 27*x - 10*x**2 + 1068368 + 1068354 - 2136722.\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -15 (b) 243 (c) -508\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence efe when three letters picked without replacement from effllefffmfx.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(76)*2 - (1 + sqrt(76))*-6 - (-5 + sqrt(76) + 2 - (1*sqrt(76) + 0)))*2)**2.\nAnswer: 1728*sqrt(19) + 44100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/2*d + 6*d**4 + 0 - 1\/2*d**2 - 4*d**3 = 0. What is d?\nAnswer: -1\/3, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 85*f**2 + 5*f - 4*f - 85*f**2 - 3*f + 5*f**3 + 2. Let r(y) = 19*y**3 - 9*y + 8. Give 9*a(k) - 2*r(k).\nAnswer: 7*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1755274140 a multiple of 685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001000110100 (base 2) to base 9.\nAnswer: -6347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/8)\/(-2*1\/(-4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 3, 121, 6, 3\/4, -4 in ascending order.\nAnswer: -4, -0.1, 3\/4, 3, 6, 121","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -147 or -146?\nAnswer: -147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k - 100*k - 7*k - 81*k.\nAnswer: -184*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 5*w + 9350, 3*i + 2*i = w - 11702. Let o be 160\/i - 6\/39. Sort -0.5, 5, -14, o.\nAnswer: -14, -0.5, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15991296 divided by 7424?\nAnswer: 2154","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 659 + -642. Suppose 5*c + p - 410 = 6*p, p + 240 = 3*c. What is the remainder when c is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - 110010011001?\nAnswer: -110010010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1479\/11080 - 1\/6648. Let j(b) be the second derivative of 0 + 0*b**3 + 0*b**5 + 2\/3*b**4 - l*b**6 + 16*b - 2*b**2. What is x in j(x) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1165.01 - -26.99. Let j = q - 1151.96. Let p = j - 40. Which is greater: 0.3 or p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -21*l + 20*l + 20*l. Let c(m) = -m**2. Determine k(c(w)).\nAnswer: -19*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/24)\/((-41)\/6396) + 14\/2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 474121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -103 times 54637\nAnswer: -5627611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 5*z**3 - z**2 + 3*z + 3. Let x(s) be the third derivative of -7*s**6\/60 + s**5\/30 - s**4\/3 - 4*s**3\/3 + 19*s**2. Determine 3*x(w) + 8*y(w).\nAnswer: -2*w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -8, 33.\nAnswer: -8, -4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 15) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, 970, 3015, 6100, 10225, 15390, 21595?\nAnswer: 28840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, d: 1, e: 2, v: 1}. What is prob of sequence epe?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 5*v**2 - 111*v + 592. Give w(-15).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (42 - (31 + -4))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/310 and 105\/22.\nAnswer: 3410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (7 - -2 - 17 - 7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - 15\/((-105)\/(-63322)). Round d to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -79*q**5\/30 - 31*q**3\/3 + 444*q**2. What is the derivative of a(v) wrt v?\nAnswer: -316*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**5 + 2*p**5 + 0*p**5 + (5*p**4 - 5*p**4 - 21*p**4)*(-p + 5*p - 3*p).\nAnswer: -19*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-36)*756\/168?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 1:58 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 139 - 1137\/8. Let h = 39\/20 - 2. Calculate the common denominator of u and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20743111 (base 8) in base 13?\nAnswer: -bc6912","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 37\/5 of a tonne?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-2)*(1\/3 + -2). Let c be 3\/w - 51\/(-15). Solve -11 = 5*q + 14, -c*q = -3*n + 32 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31.24 - 0.76. Let f = -31.6 - k. Which is the biggest value? (a) 0.1 (b) f (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29550.\nAnswer: 2, 3, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 105983 and 4?\nAnswer: 423932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b**3 - b**2 - 62*b - 74. Give n(0).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2280*d**2 - 1324*d + 9. Let r(z) = 1144*z**2 - 664*z + 4. Let i(c) = 9*r(c) - 4*v(c). Find the second derivative of i(s) wrt s.\nAnswer: 2352","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 s, and 2 k when four letters picked without replacement from oegnkks.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2686, -21490, -72540, -171958, -335866, -580386, -921640?\nAnswer: -1375750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 734435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 283219\nAnswer: 84965.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 23, -6, 0, 5, -11.\nAnswer: -11, -6, 0, 5, 23, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*g**4 - 293*g**3 - 1937*g**2 wrt g?\nAnswer: -120*g - 1758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does -60 = -44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -b - 2*x, 3*x + 40 - 43 = 3*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -15*v**3 - 7*v**2 + 20*v + 9. Let x(a) = -7*a**3 - 3*a**2 + 10*a + 4. Calculate -3*m(p) + 7*x(p).\nAnswer: -4*p**3 + 10*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 275 = 445. Does 5 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-136)\/(-4) - 1) + -3. Let a be (-60)\/2*36\/u. Let k = -20 - a. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vkwoiipov. Give prob of sequence woio.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i**4*w**3 + 4*i**4*w - 1826*i**3*w + 2*i**2*w**3 - 11463*i**2 wrt i?\nAnswer: 24*i*w**3 + 96*i*w - 10956*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**3 - 28*w + 24 = 0. What is w?\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-4)*(40\/4)\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -6*f + 4. Let i(o) = -3*o + 2. Let v(a) = 5*i(a) - 3*p(a). Suppose 4*k + 0*l = -4*l, 4*k + 2*l + 10 = 0. Let n = -2 - k. Calculate v(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y**3 + 94*y**2 + 134*y - 1998. What is u(-29)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -109412 (base 10) to base 2.\nAnswer: -11010101101100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3*r**5 + 220284*r**4 - 4045295082*r**3 + 56601753516*r**2 - 198068365803*r = 0?\nAnswer: 0, 7, 36707","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tuut when four letters picked without replacement from utuuuututuuuuuuu?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*a - 1115 = 0, r + 10*a + 377 = 12*a. Is r at least 3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.093*3287.\nAnswer: -305.691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17227657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 1 + 57 = 0. Let x = 34 + q. Determine z so that 16*z**3 + 47*z**5 - 68*z**4 + 28*z**5 + 249*z**x - 76*z**4 = 0.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 60 = 2*i, -2*g = -g. Let x be 2\/5 - (-18)\/i. Let j be (-1)\/((x + 8)\/3). Which is the smallest value? (a) j (b) 3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9010166.\nAnswer: 2, 11, 37, 11069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26728075.25999878 - 26728076. Let a = -1.2 + 0.46. Let r = j - a. Round r to 7 decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 5082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -78653 and -0.1?\nAnswer: 7865.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from {g: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 12 - -1216656629\nAnswer: 1216656641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 16 + 9)*(-3*v - 6 + 6) in the form r + f*v and give f.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/19099101 and -145\/114.\nAnswer: 725765838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 343804663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - 2*t - 2. Let o be z(2). Let q be (-23)\/(-3) - o\/(-6). Let v(w) = -w + 1. Let n be v(-1). Solve -n*m + 4*l + q = 0, -2*m - l + 2 - 9 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 0*b. Let i = b - -5. Solve -i = -q - 4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-6)*(-27)\/36*-2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37164191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1280992 is divided by 135.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4629 + 1629*f**2 - 2*f**4 - 4629 - f**4 - 1 + 1 - 2*f**4 - 2 + 2 + (0*f**2 + f**3 + 0*f**2)*(0*f + 0*f - f) + f**4 - f**3 + f**3.\nAnswer: -5*f**4 + 1629*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o + 4. Let k be n(-4). Suppose -24*h - 15*h = -195. Suppose -q + k = -3*q, -q = -h*d + 1264. What is the greatest common factor of d and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43442 and 1201151.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -305571442 and -305571441 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -301118 (base 9) to base 12.\nAnswer: -86bb2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21856*s**3 + 31*s**2 - 1045641604*s?\nAnswer: 131136*s + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1950 and 21?\nAnswer: 13650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8375 + 12a?\nAnswer: -824a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1*1.42\nAnswer: -1.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21\/5 of a tonne?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (v**2 + 10 - 10)*(0 + 2 + 1) - 2*v**2 + 0*v + 0*v as z*v + m + d*v**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 2 y, and 1 p when four letters picked without replacement from {p: 1, f: 1, e: 1, y: 5, h: 1, c: 5}?\nAnswer: 50\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3151 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence srsz when four letters picked without replacement from axrszzszsxgxzs?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**2 - 9*l**2 - 7*l**2 + (-7 - 5*l + 7)*(0*l + l - 3*l) + 0*l**2 - 3*l**2 + 5*l**2 + (-2*l + 0*l + 0*l)*(-3*l + 1 - 1) as k*l**2 + d + a*l and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3894 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1027 - 90 - 1985*c**3 + 1987*c**3 + 382.\nAnswer: 2*c**3 + 1319","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 4*x**2 + 17*x - 2. Let a be k(7). Let v = 34 + a. Suppose 0 = -3*q + v*q - 3. Solve -22 - q = 5*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (65*y**3 + 40 - 40)*(-2 - 3 + 3) to the form t*y**3 + k*y + h + l*y**2 and give t.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23011 - -23121010?\nAnswer: 23031333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5827295*u**2 + 219*u**3 - 5827364*u**2 - 218*u**3.\nAnswer: u**3 - 69*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -16 - (3 + 5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 - 199 = 4*b. Let a be (-14)\/b*(-1)\/(-3)*0. Solve -5*p - 2*j - 15 = a, j = -2*p - 4*j - 27 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5096055 to the nearest 10000.\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18543 and 1113.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**2 + j - 2. Let r(s) = 4*s + 3. Let w be r(-1). Let z(p) = -11*p**3 + p**2 - 2*p - 2. What is the smallest common multiple of z(w) and y(4)?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4288*h. Let p(x) = -2*x**2 - 4*x + 24. Let t(i) = 6*i**2 + 11*i - 66. Let a(g) = 11*p(g) + 4*t(g). Calculate w(a(u)).\nAnswer: -8576*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8373092815 less than -0.082?\nAnswer: -8373092815.082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 465527008.\nAnswer: 2, 14547719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59 + -57. Let v(h) = -3*h**2 + 12*h**2 + 7 - 8*h**2 + 0*h**i - 7*h. Determine v(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -52?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 1240.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xbabaaa. What is prob of picking 2 a and 1 b?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {h: 2, y: 5, i: 6}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 5*c**2 + 15*c + 3. Calculate p(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/35838 and -157\/167904?\nAnswer: 30390624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -86445, -173030, -259753, -346614, -433613, -520750?\n\"Answer: -69*t**2 - 86378*t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 4*d**2 - 11*d - 3. Suppose 7 = 4*g - 4*p - 9, 2*g + 4 = 5*p. Let r be o(g). Let b = 22 - 7. What is the highest common factor of b and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -18 (b) -5 (c) -7\/6 (d) 0 (e) 0.4 (f) -40 (g) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -1\/5, -3, 400\/23, 2\/7, 59, 5, -1\/6?\nAnswer: 59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 52\/3 of a decade?\nAnswer: 2080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -18. Suppose -p = 3*w - 58. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 53835?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1786 and 25.\nAnswer: -44650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o + 5*o = -4*p, 0 = 4*p + o + 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 6:36 AM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24576 and 1536.\nAnswer: 24576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -9 - (-36 + 17 - -25) - 25?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + w + 24 = -2*w, -30 = -4*s + 3*w. Let i(y) = y**2 - 7*y + 5. Determine i(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/4 and (-68)\/(-110) - (-9)\/45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*f = 9. Let u = -4 - -3.96. Let t = -0.04 - u. What is the third biggest value in -4, t, f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c + c - 4*c)*(0 + 0 + c) + 5*c**2 - 4*c**2 + 2*c**2 - 3*c**2 + 5*c**2 + 0*c**2.\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2185 + -0.3?\nAnswer: 2184.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -1. Let b(d) = d**2 - 6*d + 2. Let g(q) = -b(q) + 4*o(q). Let w be g(4). What is the units digit of 2 + w + -1 + 5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -228 - 64. Let r = -235 + 254. Calculate the remainder when u is divided by r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*r + 3*t, 0 = -3*t - 12 - 0. Suppose 8 = -v - r*v, -4*u + 4*v = -516. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*z - z + 9*z)*(-29 + 9*z**2 + 29) + 98*z - 34*z**3 - 98*z + (z**2 + 6*z**2 - 3*z**2)*(1 - 1 + z) + z**3 - z**3 + 2*z**3.\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of 847*l**4\/4 + 49*l**3\/3 + 2*l + 2359. Find the third derivative of d(s) wrt s.\nAnswer: 5082","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109626 divided by -22.\nAnswer: 4983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -14*q**5\/5 - 5*q**3\/6 - 4079*q**2\/2 + 2428*q. Differentiate y(d) with respect to d.\nAnswer: -168*d**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(68) - sqrt(17)) - (sqrt(17) + 1)*4 - sqrt(34)\/(4*1*sqrt(2)))**2.\nAnswer: 74*sqrt(17) + 23529\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7191*g**2 + 2*g - 135.\nAnswer: 14382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21\/(-6) + (-4)\/(-2). Let y = -0.1 - -1.1. Let t = 1.1 - y. Which is the closest to -1? (a) h (b) 1\/3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7a6c - 5895?\nAnswer: -d523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -91 greater than -642\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 4:29 AM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4643393 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) 0.4 (c) 53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.88 + 0.12. What is the nearest to 2\/3 in 4, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245990096 is divided by 577.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38454\/(-1885))\/(1\/5) - (-86 + 63).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 7*l**3 + 2*l**2 + 8*l + 1. Let z(w) = -w. Let y(f) = -g(f) - 6*z(f). Let n be y(-1). Suppose -5*a = -n + 1. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -1094*x**3 - 4*x**2 - 4*x - 8. Let z(i) = 1095*i**3 + 5*i**2 + 5*i + 10. Determine 5*d(f) + 4*z(f).\nAnswer: -1090*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96160, 192177, 287964, 383407, 478392?\nAnswer: 572805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 12:33 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -13*m + 30 - 39 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-26)\/(-39) - 920\/(-6). Suppose h = 4*c + y, 3*y = 4*c - 122 - 24. Let s = c + -115\/3. Sort -3, s, 2, -0.2.\nAnswer: -3, s, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 divided by 3?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*y - 12 = -17*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/55981? (a) 4 (b) -4 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 5*b + 29, 5*b + 4*o - 9*o + 5 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -71383, -285520, -642407, -1142038, -1784407, -2569508?\nAnswer: -3497335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 3:29 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004108017093 to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/4958 and 47\/222.\nAnswer: 14874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 5*o + 4 = 0, -2 = 3*s - 4*s - 3*o. Find the third derivative of -4*i**6 - 6*i**6 + i**s - 3*i**6 wrt i.\nAnswer: -1560*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6515 bigger than 6520?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -112188?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of -n**5\/30 - 234*n**2 - 3*n. Let d(g) = -2*g - 638. Determine h(d(z)).\nAnswer: -8*z**2 - 5104*z - 814088","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -5.\nAnswer: -5, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 5 - -1) + 1 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, i: 3}. Give prob of picking 3 h.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of x**4\/4 + 4*x**3\/3 - x**2\/2 - 4*x + 370. Solve v(c) = 0 for c.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -164 + 163. Let q(x) = x**4 + x**2 - 1. Let g(z) = 13*z**3 + 8*z**2 - 2. Let p(c) = t*g(c) + 2*q(c). What is the third derivative of p(d) wrt d?\nAnswer: 48*d - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8839 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16099 or -3.2?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1650 and 1300?\nAnswer: 42900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/3)\/((-5)\/(-45)). Let z(m) = 22*m**3 + m**2 - m + 5. Let s be z(p). Let x = s + 960. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 3:35 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -62, -137, -232, -341, -458, -577, -692?\nAnswer: -797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76380 by -5.\nAnswer: 15276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*b**2 + 2255 - 1126 - 1130 + 4*b to the form w*b**2 + l + h*b and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, -41.5, -4, 80, -0.27?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - i + (3 - 5 + 1)*(-2*i + i + 0*i) - 1 + 1 + i + 0 + i + 0)*((2*i - 2*i - 2*i)*(-3 - 4 + 4) + 2 - i - 2).\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/10*(-24)\/(-54)*(-30)\/4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -c + y, -33059*c + 3*y + 6 = -33055*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.76 + 1.24. Let v = -405\/2 + 3041\/15. Let d = v - -4\/15. Which is the closest to d? (a) 1\/7 (b) -1\/2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w**3 - 3*w**2 + 3*w**2)*(-w + 5*w**2 + w) + 2*w**5 + 0*w**5 + 2*w**5 + (5*w - 4 + 4)*(0*w**3 - 2*w**4 + 0*w**3).\nAnswer: -21*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -9*2*((-3)\/(-9))\/(-1). Let t(q) = -q - 2. Let o be t(2). Let y(a) = a**3 + 5*a**2 + 4*a + 6. Let k be y(o). Solve -k = i*m - 3*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5029179 is divided by 147914?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 142*d - 14 - d**2 - 142*d + d**3 as k*d**3 + p*d + w*d**2 + z and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 2480.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 346160 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*v + 13*v - 5*v**3)*(-2 - 2 - 18).\nAnswer: 110*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -2, 1, -7 in descending order.\nAnswer: 5, 3, 1, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8984345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*x**5\/2 + 35*x**4\/2 - 50*x**3 + 10*x**2 = 0 for x.\nAnswer: -2, 0, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l*l**8\/l*l)\/l))\/l*l*l\/l**(6\/7))\/(((l*l**(4\/11))\/l)\/(l*l**9)) assuming l is positive.\nAnswer: l**(214\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t - 4. What is the remainder when r(-4) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -32, 2\/9, 639, 14 in descending order.\nAnswer: 639, 14, 2\/9, -0.5, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -92*c**3\/3 + 13010*c**2\/3 - 25744*c\/3 + 12826\/3.\nAnswer: -2*(c - 1)**2*(46*c - 6413)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x**2 + 4*x**3 - 3*x**2 + 22*x**2 - 8*x**2.\nAnswer: 4*x**3 + 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 33860433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of u**4\/12 + 4*u**3\/3 + 18*u**2 + 4*u. What is the remainder when 47 is divided by t(-6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*l = 2985 + 1780, -d = l - 4750. Is 2 + d + (10 - 6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77, -73, -65, -53?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 3*n - 42, -54*t + n - 21 = -58*t. Sort t, 4, -4, -306, 5 in descending order.\nAnswer: 5, 4, t, -4, -306","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1286 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1475 - -7377\/5. Which is the smallest value? (a) 7\/9 (b) 1\/7 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -3*u + 18*u - 12*u. Let v(t) be the first derivative of -2*t**2 - 39. Let l be -2 + (-2*1 - -1). What is l*j(q) - 2*v(q)?\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -k + 21. Suppose -5*m - 51 = -211. Suppose 16*y = m + 96. Calculate the greatest common divisor of y and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 402.8917 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/3 - 173*b**2\/3 + 165898*b\/3 - 1315600\/3.\nAnswer: -(b - 325)*(b - 8)*(b + 506)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5063716 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*d**4*f**2*u - 121074*d**3*f*u - 29*d**2*f**2*u + 2042*d**2*f - 3*f**2*u - 2*f*u wrt d?\nAnswer: -384*d*f**2*u - 726444*f*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zsszsssfzszzkddsz. What is prob of sequence zkf?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 528 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t + 2. Let m be l(4). Let a = m - -45. What is the remainder when a is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a century in years?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 16767093 and 0.0644235.\nAnswer: 16767093.0644235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -7318, -1, 4, -29 in decreasing order.\nAnswer: 4, 2, -1, -29, -7318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1069 - 1062. Which is smaller: 42 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 10:46 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of o**7\/70 + o**6\/40 - o**5\/2 - o**4\/2 + 12*o**3 - 825*o**2. Find v, given that z(v) = 0.\nAnswer: -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 63\/4 + 6\/24. Let s = c - 6. List the prime factors of (s - -2)*3\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -12 (b) -1 (c) -0.096 (d) -4 (e) 3 (f) -144\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 - 47. Is d at least as big as 18\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 3\/7, -3\/4, -2\/5, 10.3, 16?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 463 is divided by 186?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -12713?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.151 and -26401?\nAnswer: 3986.551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 75 = d. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -2*z**6\/15 + 11*z**2\/2 + 16*z. Differentiate i(w) wrt w.\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 760519784 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/3*3*1. Let q(z) = -14*z**3 - 2*z**2 - z + 3. Let c(v) = -v**2 + v. Let g(l) = 3*c(l) - q(l). Is g(i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4477176?\nAnswer: 2, 3, 11, 5653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqoooeee. Give prob of sequence eq.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -3*z**8\/56 - z**4\/2 - 5*z. Find the third derivative of l(t) wrt t.\nAnswer: -360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111101 - -11111100000110001?\nAnswer: 11111011110110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -332 + 121?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -117 (base 11) to base 16.\nAnswer: -8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 3*y = 4*l - 3*y + 2, 0 = 6451*l - 6404*l - 3*y - 88 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 - 4*l + 5. Let q be b(5). Let g = q - -33. Suppose -14*f - 34*f - 9*f + 1995 = 0. Calculate the remainder when g is divided by f.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**3 + 10*i**3 - 2*i**3 + 7*i**3.\nAnswer: 17*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 8*g - 34. Suppose 2*l - 4*r + 2*r + 6 = 0, -5*l + 4*r - 14 = 0. Let h(d) = d**2 + 2*d + 4. Let v be h(l). Give n(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 834551209?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, q: 5, t: 6}. What is prob of sequence tqtq?\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -4*m - 7 + m**3 + 0 + 0 + 3*m**2. Let g be o(-3). Let s be (-9)\/(((-6)\/4)\/(-1 - -2)). Solve g*f + 31 = s for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -461, -1497, -3245, -5705, -8877, -12761?\nAnswer: -17357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 28840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 360*o**3 + 3*o**2 - 4*o + 3. What are the prime factors of f(1)?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -50612, -50607, -50602, -50597?\n\"Answer: 5*z - 50617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from czcqcqqqccczccccjqqq. Give prob of sequence cjzz.\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/10 of a hour?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-6*sqrt(11)*1 + sqrt(11) + 4 + 1 + sqrt(11))**2 - ((2*(sqrt(275) + -1) + sqrt(275))*-1)**2.\nAnswer: -2276 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4 + b**2 + 22*b - 16*b + 1. Suppose 7*z + 11 + 17 = 0. Give h(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**4 - k**3 + k**2 + 2*k - 1. Let u(q) = -2811*q**4 + q**3 + 9694*q**2 + 2*q - 1. Let m(j) = u(j) - z(j). Find the third derivative of m(o) wrt o.\nAnswer: -67488*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1\/4))\/(p*p**15) assuming p is positive.\nAnswer: p**(-61\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) 2\/7 (c) -5\/3 (d) -0.6 (e) -0.052 (f) -19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14144 is divided by 42?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 553 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 9*q**2 - 6*q - 16. Let j(g) = 5*g + 25. Let v be j(-7). Does 9 divide k(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 10:30 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 8:08 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*z - z - 190 - z.\nAnswer: 9*z - 190","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) -0.2 (b) 0.012 (c) -26536\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 694.82 + -696. Which is bigger: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/70 and -71\/1497.\nAnswer: 104790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 7007427 (base 9) in base 7?\nAnswer: 43444426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 5*u + 13, 1 = -3*o + 6*o + u for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1500\/135473?\nAnswer: -1500\/135473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 4*z + 0*z)*(7 + 1 - 4).\nAnswer: -16*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21947580 and 9144825.\nAnswer: 109737900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2690688 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8203860 or 8203859?\nAnswer: 8203859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 35*c = 39*c - 36, -2*y + 2*c = 0. Solve 4*w - 8 = -y*v, -3*v = -6*w + 3*w - 18 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2260675045?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 32 = 4*p + 3*t, -t = -p + 8. Suppose 3*y - 37 = p. Suppose -4*w = -5*h - y - 48, -2*w + h = -27. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -214424111 (base 5) to base 11.\nAnswer: -58a391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r + 5 + 1 + 24*r + 0. Is c(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**4 + 842*d**3 + 89862*d**2 + 258742*d - 349448 = 0.\nAnswer: -209, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2170216?\nAnswer: 2, 271277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3.914 times -0.4\nAnswer: -1.5656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 6*f**2 - 6*f + 2. Calculate the remainder when b(8) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*k - 892 + 53500. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 + 31. Let t = 0.8 + 0.2. What is the nearest to t in -5, -1\/4, l?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*w + 3*i = -26, w + 3 = -4*i. Find the third derivative of 9*m**w + 6*m**3 + 6*m**3 - 129*m**2 - m**3 - m**3 - 13*m**3 wrt m.\nAnswer: 540*m**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1528, -3, 2, -189, 3, 5 in decreasing order.\nAnswer: 5, 3, 2, 0, -3, -189, -1528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 2*i - 8. Suppose -4*x = -i*x - 574. Let w = x + -445. Round w to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 8*y**2 - 8*y + 9. Let d be k(6). Let r = -28 + d. Suppose r*b - 46 = 459. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 754535, 1509029, 2263523, 3018017, 3772511, 4527005?\nAnswer: 5281499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 3:24 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/294 and 31\/882.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15287577 rounded to the nearest one hundred thousand?\nAnswer: 15300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 + 1 - 3) + -50 + 53.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2115014?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + i + 4*i = -65, -4*i = d - 50. Suppose 10*a - d = 5*a. What is the lowest common multiple of 2 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 615.96 * 2\nAnswer: 1231.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and 68278866.19.\nAnswer: 68278865.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 - -24. Let x = 5.12 - 0.12. What is the fourth biggest value in g, 5\/3, x, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 531.734 millennia in years?\nAnswer: 531734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 8. Suppose j + 4*w = -3 + t, 0 = -2*j + 2*w - 4. Is -97 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3 - 5*c**2 + 6*c**2 - 14*c - 2*c**2. Let u be n(-11). Suppose 0*v + 3*v = u. Calculate the remainder when 59 is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1289760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.4? (a) 2\/3 (b) 1\/8 (c) 5\/4 (d) -602\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/125 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 909205639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from isodsidp. Give prob of sequence idpo.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**3 + 74*h**2 + 512*h - 3360 = 0. What is h?\nAnswer: -21, -20, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20180*o**3 - 13261*o**2?\nAnswer: -121080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 674047067?\nAnswer: 83, 8121049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -3*v - 1\/2*v**2 + 7 + 1\/2*v**3. Suppose 0*q - 5*q = 5. Calculate j(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.044 - 0.058.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 13*d - 47. Let a be k(4). Suppose -2*q = -5*b - 208, 0 = -3*q + 4*b - a*b + 329. What is the remainder when q is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 1009*b**3 - 4*b**2 + 11*b + 3560. Let d(g) = -3021*g**3 + 11*g**2 - 30*g - 10682. Let q(h) = 4*d(h) + 11*u(h). Differentiate q(s) with respect to s.\nAnswer: -2955*s**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11\/4 in 23, -0.2, 3, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -318385*v**6 + 2*v**5 + 5*v**2 + 958*v - 3.\nAnswer: -38206200*v**3 + 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence igg when three letters picked without replacement from {f: 2, c: 1, g: 3, i: 2, o: 4}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3908*l**2 - 20*l. Let x be m(1). Calculate the greatest common divisor of 144 and x.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.13489 - 0.4.\nAnswer: -0.53489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 3*r - 16*r. Suppose 15*o - 24*o - 9 = r. Let u(g) = -7*g**3 + 2*g**2 + g. Give u(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116730633457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16815111*k + 3656175*k - 10503442*k.\nAnswer: -23662378*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -5618000 to the nearest ten thousand.\nAnswer: -5620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 12:51 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 827177 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 107775419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3400923 is divided by 1252?\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 660\/54 + (-4)\/18. Suppose 5*q + 2*z - 70 = 7*z, -2*q = 2*z - a. Solve 0 = 5*n - 3*n - q for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4330384881?\nAnswer: 3, 1443461627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 387 divide 57136327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -553680?\nAnswer: 553682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-6) + -1)*2. Let v = 3 + -3.5. Let t = -2.93 + -0.07. Which is the nearest to n? (a) t (b) v (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1089933.\nAnswer: 3, 13, 27947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10660 and 27820.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 2215.386 seconds?\nAnswer: 2215386000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 - 13 + 11*r)*(-4*r**2 + 2*r**2 + 7*r**2) in the form m*r**2 + l*r + j*r**3 + f and give j.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*i - 10 = 4, -3*d - 2*i - 16 = 0. Let z be (1 + (-1)\/d)\/((-5)\/20). Let r(w) = -w**3 - 6*w**2 - 8*w - 6. Determine r(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2766157 or -2766158?\nAnswer: -2766157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.56? (a) -6 (b) -0.5 (c) -4 (d) 0.6 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69542 is divided by 3660.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.19 and 0.02.\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 8) to base 7.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + l**2 + l + 4. Let c be 0\/(3 - (0 - -1)). Let b be t(c). Calculate the common denominator of 7\/6 and (b\/3)\/((-4)\/18).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2111683230?\nAnswer: 2, 3, 5, 293, 26693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 49594, -1\/2, -5, 1, 2, -1\/8, 0.5?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 10:45 PM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 45386 greater than or equal to 1588516\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3983661010.00000029 + -3983660992. Let c = -1.4 + 19.4. Let p = g - c. What is p rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 11*p**2 + 26*p - 697. Let z(n) = -9*n**2 - 17*n + 698. What is 2*a(q) + 3*z(q)?\nAnswer: -5*q**2 + q + 700","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.073045ml to litres.\nAnswer: 0.009073045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of s**8\/112 - s**7\/70 - 14*s**2. Factor a(d).\nAnswer: 3*d**4*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of b**3\/3 - 5*b**2 + 29*b + 58. Let x be s(7). Solve 0 = -x*h - 11 - 21 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -56 in 26, 11, 4\/69?\nAnswer: 4\/69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d - 67. Calculate z(21).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/24*4 + -1. Let s(p) be the second derivative of -1\/10*p**5 - p + 0*p**4 + 0 + 0*p**3 - g*p**2. What is the first derivative of s(v) wrt v?\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from {u: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 + 186 + 3 - h.\nAnswer: -h + 170","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 2. Let p = 21 - 9. Let i be -1 + -6*(1 + p\/(-8)). Solve -t*d + i = -4*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-210)\/20*(200\/(-3))\/4. Let d be 34\/(-6) + t\/35. Let a = 0 + 0. Sort d, 2\/13, a in ascending order.\nAnswer: d, a, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 5*k - 28. Give v(12).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 945? (a) -7 (b) -1 (c) 3 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 2:34 PM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 0 = 12. Let z = 56 + -50. Let o(a) = 9*a**3 - 2*a + 0 - 10*a**3 - z + 6*a**2. Let r(l) = l**3 - 5*l**2 + 2*l + 5. Give m*r(b) - 5*o(b).\nAnswer: -b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89, -708, -2513, -6152, -12273, -21524, -34553, -52008?\nAnswer: -74537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 16*p**3 + 62*p**2 + 87*p + 63. Let w(q) = 3*q**3 + 12*q**2 + 17*q + 12. Let o(g) = -2*m(g) + 11*w(g). Factor o(y).\nAnswer: (y + 1)**2*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(1911)*6)\/(4*sqrt(12)\/(-4*(sqrt(16)\/sqrt(4) + sqrt(4)))) + 0.\nAnswer: -336*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3083 is divided by 382?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -56 + 44. Let n(w) = -w**2 - 10*w + 28. Let c be n(g). Let q be 2\/(1 + 2 + -2). Solve -q = -c*z + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30703.8mg to tonnes.\nAnswer: 0.0000307038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 8:33 PM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1540.4113 to the nearest 10.\nAnswer: -1540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -508 and -2\/33 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -747 + 775 = f - 5*u, -6*f = -3*u - 33 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l - 3*l - 2*l**3 + (2*l**2 - 2 + 2)*(-l - 4*l + 4*l) - 1 - 220*l**3 - 4462*l + 4462*l in the form z*l**3 + p*l**2 + n*l + y and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/8*(-22)\/(-11).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i**2 + 4*i**2 + 8*i**2)*(-360*i**2 - 835*i**2 + 311*i**2).\nAnswer: -6188*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3 = -4*y - o, -4*y = -5*o + 15. Let i = 67 - 49. Suppose 4*q + 2*h - 14 = i, -4*q + 18 = -5*h. Solve y = 4*p - q*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -125996000 to the nearest one hundred thousand.\nAnswer: -126000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-480)\/(-540)*63\/(-66)*153\/68?\nAnswer: -21\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/6*1 - 28\/(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 - 6. Let i be z(-4). Let c = 39 - -92. What is the remainder when c is divided by ((-21)\/(-15) + (-4)\/i)*33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ez when two letters picked without replacement from {z: 5, e: 2, n: 2}?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -184 - -352. Calculate the highest common divisor of 21 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -132813 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -3*k - 21, -a - 2*k = a + 12. Is a\/2*898\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 163, 598, 1311, 2302, 3571, 5118, 6943?\n\"Answer: 139*m**2 + 18*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10882030 + -6?\nAnswer: -10882036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m. Let x be f(1). Suppose 2*d = -3*s + 58, 47 = x*s + 4*d - 15. What is the remainder when s is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2495, -193, 6047, 18193, 38213?\n\"Answer: 328*k**3 + k**2 + 3*k - 2827","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 466668064 to the power of 1\/2, to the nearest integer?\nAnswer: 21603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.02, -0.4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of -k**5\/20 - k**4\/12 + k**2\/2 + 2*k. Calculate u(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - -495. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1387.87 rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38242 - 9393 = 6253*n - 133729 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(5) - sqrt(20))*4)**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 9*q**2 + 7*q + 5. Let d = -3 - 1. Is f(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3 + 984*l**2 - 955*l**2 - 6 - 18 wrt l.\nAnswer: 58*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 142932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*(m*(m\/m**(3\/11))\/m*m)\/m*m**9 assuming m is positive.\nAnswer: m**(118\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 528296?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -5578*d + 5576*d + 56, 2*d + 3*w - 56 = 0 for d.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 634279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of u**4\/4 - u**3 + 3*u**2\/2 - u - 4. Calculate the lowest common multiple of 10 and m(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25791599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -864.92 - -1020. Let i = x + 2.92. Let k = 157.999933 - i. Round k to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**2\/2 + 19*c + 40 = 0. Calculate c.\nAnswer: -2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3730896277 to 4 decimal places.\nAnswer: -0.3731","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15.00000051 - 15. What is r rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 5*i = 5358, j = i - 350 + 1690. Suppose 0 = 5*f + 3*z + j, -5*f + 11*z - 1318 = 8*z. Do -268 and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7884092 litres in millilitres?\nAnswer: 788.4092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3480596445 divided by -5\nAnswer: -696119289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83 = -0*k - k - 4*j, 3*k - 4*j = -2171 + 2258 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1794, -3288, -4776, -6258, -7734?\n\"Answer: 3*q**2 - 1503*q - 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9331 and 26488.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 437600305?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from upnnnpeuppuu. What is prob of picking 1 e and 3 n?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 84 + -2 + 0 + (233 - (-207 - -440)).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -h**5\/20 - 7*h**4\/6 - 37*h**3\/3 + 23*h**2\/2 - h + 10. Let c be l(-19). Round c to the nearest 100.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 22*y - 11 + 19*y + 9.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (1 - -5) - (-2 - 6)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 219 and 1080181?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 350296267 to the power of 1\/2, to the nearest integer?\nAnswer: 18716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2268 and 66360.\nAnswer: 1791720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1501 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57 - -65. Calculate the greatest common divisor of v and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4448 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 59*h - 107*h + 176742540000 = -399*h. What is h rounded to the nearest 1000000?\nAnswer: -504000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1, -5, 10, 1\/2, -31977?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35943542?\nAnswer: 2, 17, 1057163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 2*v - 11. Let c be 0*(-2)\/(-10)*(-15)\/6. Give x(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10565 is divided by 2290.\nAnswer: 1405","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 7*d - 69. Calculate g(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 326566457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -0*s. Suppose -t + 10 + 12 = s. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, f: 9}. Give prob of sequence ffff.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.028 + 0.072. Let z(s) = -s. Let p be z(0). Which is the third biggest value? (a) g (b) p (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**3 + 2418*r**2 - 1459260*r - 2928200 = 0 for r.\nAnswer: -2, 1210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kg when two letters picked without replacement from {g: 3, k: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1714413 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2 + (-18)\/(-10)). Suppose -5*h = -5*s + 20, -x*s + 0*h = h + 4. Suppose -4*d = b + 8, -b - 2*d = -s*d + 4. Solve b = 5*y - 3*y - 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/2 + (-396)\/(-8). Let b = w - 94. What is the units digit of 4\/(-18) - 460\/b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 427691524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66321.\nAnswer: 3, 7369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 - 43. Let o be p(8). What is the greatest common factor of 21 and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 39\/(-156) - (-2 + 1\/(-4)). Suppose 3*z = b*x - 1397, 2*x + 3*z = 628 + 751. What are the prime factors of x?\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50885 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 0 + (-36)\/(-10). Let t = 86 + -94. Let n = t - -10. Which is smaller: n or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 9:50 AM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 17*b - 178. Determine r(12).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**4 + z**3 - 3*z**2 - z + 2.\nAnswer: (z - 1)**2*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 25, 9 = 2*j + 7*w - 32. Let b(x) = -11*x + 6. Let q(f) = 6*f - 3. Give j*b(u) + 5*q(u).\nAnswer: -3*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 - 2950*t**2 + 516867*t - 513918.\nAnswer: (t - 2763)*(t - 186)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.2 - 17.9. Let u = -5.2 - w. Which is the fourth smallest value? (a) u (b) -1\/2 (c) -3 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 5:44 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 416.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -0.81?\nAnswer: 0.243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-1\/3))**(-2\/29))**(5\/8)\/((w**(1\/8)*w**(4\/5)\/w)\/(w**(-6)*w*w**(-5))) assuming w is positive.\nAnswer: w**(-34739\/3480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:57 AM and 2:45 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {w: 2, v: 6, i: 3, k: 4, a: 3, g: 1}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 3*y + 1427. Give b(-44).\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.04 + 0.04. Let u = -26095\/3 - -8698. Which is the closest to -2? (a) s (b) u (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) -0.6 (b) -290 (c) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*m - 23*m = -168 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + -3)*(6 + -7). Let r = 4355 + -4355. Solve r*q + 4*q + z = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-48))\/(12\/156*-52).\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -124 + 176. Suppose 0 = -2*t - f + 172, -4*t + z = -2*f - 284. Let v = t - -9. Is v a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25712045503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 15) in base 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.01817 - -0.08183. Let d be -1 + (0 - (-13)\/11). What is the biggest value in k, 0.3, 1\/7, d?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from udzuqzzduuqqdquz. What is prob of sequence dzz?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.7? (a) -264 (b) -31.26 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46275413.\nAnswer: 53, 873121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8664 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -34\/38717613 and 107\/21118698.\nAnswer: 232305678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 26a (base 14) in base 4?\nAnswer: 13212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -201456203?\nAnswer: 201456201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64932344.\nAnswer: 2, 8116543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5874 + 46989\/8. Let p = -0.3 - -0.7. Let w = -158 + 179. Which is the fourth biggest value? (a) p (b) -2\/11 (c) w (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 393 and 0.4?\nAnswer: 392.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -29*d**2 - 5*d - 15. Let a(s) = 46*s**2 + 8*s + 24. Let h(o) = -5*a(o) - 8*l(o). Let q(n) = 1668*n. Determine q(h(m)).\nAnswer: 3336*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**3 - 100*i**2 + 109*i - 550. Calculate h(49).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 809783019?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10650243*h*p**3 + 10807*h - 196*p**2 wrt p?\nAnswer: -63901458*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8311, 33952, 76919, 137212, 214831, 309776, 422047?\n\"Answer: 8663*s**2 - 348*s - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 o, and 1 f when three letters picked without replacement from pfpzlpalalpo?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1551 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -163*b**2 + 37788*b - 37788*b to the form r + f*b + c*b**2 and give c.\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045385431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-207)\/(4\/(-2) + 1). Let d be (16\/(-8) - -24) + 1. What is the greatest common factor of i and d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 - 51. Let y be (-2)\/(-4) - (-1)\/(6\/(-153)). Let u = y - q. Put 1, 5, u in ascending order.\nAnswer: u, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 72*k = 69*k - 9, 5*k + 5 = 3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 94 by 21.\nAnswer: 94\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 33\/6 + -4 - 1. Suppose -4*f = -1 - 3. Determine i, given that -1\/2*i + f - i**2 + s*i**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**3 - 5*w**2 + 20*w + 18. Is a(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -4*d**4\/3 - 20056*d**3\/3 - 24108932*d**2\/3 + 2607444496*d\/3 - 3347583488 = 0.\nAnswer: -2557, 4, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 135*a**4 + a - 43*a**4 - 5 - 52*a**4 - 19 - 43*a**4 + a**3 in the form w + z*a**3 + k*a**4 + n*a + y*a**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**3 + 0*w**3 + 2*w**3 + (3*w - 2*w**2 - 3*w)*(-2*w + 2*w + w) - 3*w**3 - w**3 + 3*w**3 - 1 + 1 - w**3 + (-1 + w + 1)*(0*w**2 - 3*w**2 + 2*w**2).\nAnswer: -4*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - -5)*-1*(-20)\/12. Suppose -2 = -2*g + 4*g, 0 = n*y + 4*g - 66. Solve -2 + y = 3*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -o**5\/300 + o**4\/30 - o**3\/10 - 5*o**2\/2 + 5*o. Let y(m) be the first derivative of i(m). Let y(z) = 0. What is z?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8831477 millilitres to litres.\nAnswer: 0.0008831477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5410 - -5381.33. Let s = m + -0.33. Let n = s + 28.999974. What is n rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 72 = q. Let r be ((-10)\/(-20))\/(2\/q). Let d be (1\/r)\/((-2)\/(-3)). Which is the second biggest value? (a) -1\/2 (b) d (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a second in milliseconds?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -659976000 rounded to the nearest one million?\nAnswer: -660000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1333 is divided by 468?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -45\/34 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2493.6 + -0.04.\nAnswer: 2493.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*g**2 + 2*g**2 - 3*g**2)*(5*g**3 + 0*g**3 - 3*g**3).\nAnswer: -30*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-48)\/(-96)*((-30)\/(-2) + -1). Let v be (14\/(-5))\/((-4)\/10). Calculate the greatest common factor of r and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 3*z = -22, 599*n + z = 598*n - 4 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.086 - -18.586. Let o = v - 19. Let l be (4\/6)\/(1 + -3). What is the nearest to -1\/4 in o, l, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48224 and 23848?\nAnswer: 13068704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 79. Let w = s + -1363\/20. What is the common denominator of 99\/28 and w?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -15*g**5 + 620*g**4 + 485*g**3 - 2770*g**2 + 1680*g = 0.\nAnswer: -8\/3, 0, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 8880 = 2*r - 2141, 55132 = 5*c + r. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 9*x. Let z(d) = -1381*d. Determine c(z(s)).\nAnswer: -12429*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 1:38 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (66 - 57 - (4 - 0))) + -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -s**4\/24 + s**3\/6 + 4*s**2. Let b(n) = n - 2. Let j(i) = b(i) + 4*g(i). Give j(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2461 and -15893.\nAnswer: -18354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mqm when three letters picked without replacement from mqmm?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8072 by -72.\nAnswer: -1009\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32 - -138. Let y = -47 + i. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*n + 3 = -9*n. Let j(o) = -o**3 + 6*o**2 - 8*o + 2. Let y be j(n). Solve -4*r + 7*g - 3*g = 16, -3*g = y*r - 20 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*r + 0*r - 2*r**3)*(48*r + 5 + 3 - 46*r + (2 - 3 + 2)*(-4*r - r - 3*r) + 6 - 6 - 5*r) in the form a*r + z*r**2 + j*r**3 + v + l*r**4 and give j.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3. Let f(m) = 0*m + 5*m**3 + 7*m + 8*m**2 + m. Let h(g) = -3*c(g) - f(g). Solve h(p) = 0 for p.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -14\/3*x + 49\/3 + 1\/3*x**2 = 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 4*j - 5. Let v be t(-4). Let s(w) = 3*w - 146 - 2*w + 344 + 145*w**2 - 171. Is s(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y = 14899 - 2819. Let w = 571 + -1372. Let h = w + y. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -171.2975203 rounded to the nearest integer?\nAnswer: -171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 655, 657, 661, 667, 675?\n\"Answer: k**2 - k + 655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o**3 - 4*o**3 - 2*o**3)*(12 - 4 + 2) + 5*o**3 - 4*o**3 - 5*o**3 + (-3 + 3 + 2)*(-3 - 2*o**3 + 3) to z + p*o + t*o**3 + u*o**2 and give t.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*z - 234, -4*b + 0*z - 5*z + 468 = 0. Let k = -762 - -747. Let a = k + b. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) + (-1*sqrt(450))\/sqrt(9) - 4*sqrt(50)*2)*-6)\/((sqrt(1210) + -3*(sqrt(1210) - 3*sqrt(1210)))*6).\nAnswer: 8*sqrt(5)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8321\/10 - -776. Let m = c + 273\/5. Which is smaller: 29 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 25 - 23. Let i be 2 + -2 + c + 3. Suppose -i*w + m + 37 = -119, 5*m + 44 = 2*w. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 99.1 + -99. What is the closest to k in -0.5, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15*(-3)\/18*(-16)\/((-1344)\/(-21))?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**3 - f**2 + 4. Let p be u(0). Suppose -4*t + 3*t = p*n - 131, 4*n - 2*t = 122. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3\/7 + 904*k**2\/7 - 105404*k\/7 + 14928.\nAnswer: 4*(k - 84)*(k - 1)*(k + 311)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 769786, 769784, 769782, 769780, 769778?\n\"Answer: -2*l + 769788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 6. Suppose l*s - 5*w - 70 = 0, -s = 2*w - w - 6. Calculate the common denominator of (-6)\/(-20) - 4\/s and -139\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-10) - (-27)\/(-285). Let a be -1 + 3 - 8\/2. Let f be (1\/10*a)\/1. What is the second biggest value in 1\/7, f, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -405 - 2*x**2 + 259 - 2583 - 418 + 8 as b*x + v + a*x**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -29 (base 15) to base 16\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 1040*a + 216318. Give j(-208).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2016460 (base 7) to base 15.\nAnswer: -4b19a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2838 is divided by 159?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4*c + 2. List the prime factors of l(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 519 + -515. Suppose -2452 = -2*i - y + 5*y, -4904 = -b*i + 5*y. List the prime factors of i.\nAnswer: 2, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5094907?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160148?\nAnswer: 2, 40037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 26197520.\nAnswer: 78592560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 91712 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 12341 - 12361 - (1 - 3 - -68)\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 89, -6\/11, -9?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4*b + 3)*(3 + 7 + 14)*(b**3 - 2*b**3 + 0*b**3).\nAnswer: -96*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 61*p + 968. What is the tens digit of y(19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 7*h**2 + 3*h - 6. Let w be t(4). Let i = w + 23. Let l = 82 + i. Calculate the greatest common divisor of 7 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 801*g + 722*g - 967*g + 3*g**2 + 1648*g + 2 + 2822*g to the form j + s*g**2 + w*g and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -9. Suppose -1 + 2 = -5*m - 2*i, 3*m = 3*i + 12. Which is the second smallest value? (a) -2\/21 (b) m (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 653450 divided by 5.\nAnswer: 130690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -51*j + 1. Let o(p) = -364*p**2. Calculate o(g(i)).\nAnswer: -946764*i**2 + 37128*i - 364","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-10 - -28) - (2 - -14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 741 and 646?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55751*k**3 + 1408 - 702 - 705.\nAnswer: 55751*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes after 5:30 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -218 - -229. Suppose -4951 - 7160 = -v*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 10*k**2. Let s(r) = 874482*r. Calculate g(s(i)).\nAnswer: 7647187683240*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6920354 divided by -181\nAnswer: -38234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 2*s + 3217, 2*s - 6474 = -2*y - 2*s. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -171 - -147. Find the common denominator of ((-4)\/(-5))\/((-6)\/110) and 1006\/72 + w\/108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 54032501 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -18*s**5 - 8466*s**4 - 1005254*s**3 - 2295022*s**2 + 570960*s + 2737800 = 0.\nAnswer: -234, -5\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4275*m**3 - 17*m**2 + 1550*m**3 + 17*m**2.\nAnswer: -2725*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -41108000 rounded to the nearest 1000000?\nAnswer: -41000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.03 - 2.7. Let m = 15.33 - j. Let g = m - 16.00041. What is g rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - 3\/6)*0. Let s = c - 2. Let p(r) be the first derivative of -r**4\/2 - r**3 + r**2\/2 + 2*r - 44. Calculate p(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 0, 2, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + -0.027492048992705.\nAnswer: -0.327492048992705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 3:30 AM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 72\/15 + 44\/(-55). Suppose -3*v = -5*v - 3*w + 1111, 0 = -l*v + 5*w + 2255. Is 40 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, k: 10, a: 1, m: 3}. What is prob of picking 2 k and 1 d?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**2 + 0*k**2 + 0*k**2 + 2*k**2 + 4 - 4 + (34*k**2 + 8*k**2 + 4*k**2)*(0 - 1 - 1).\nAnswer: -92*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 - 19 - 2)*(-c + 2*c + c)*(-11 + 12 - 7).\nAnswer: 480*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 579*m + 11. Let l(o) = -584*o - 9. Give 5*l(y) + 4*s(y).\nAnswer: -604*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*p + 49*p = 16 - 131 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 143 and 292732?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47.2 - 4.2. Let j = 44 - y. Let u = -89 + 87. What is the closest to 0 in u, j, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2456810 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 691 - 728.7. Let p = h - -37.346. Let m = p + 0.35663. Round m to 4 decimal places.\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3232023 - 2?\nAnswer: -3232031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -11*m. Let d(l) = -36*l - 40123. Give d(h(r)).\nAnswer: 396*r - 40123","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1077042907 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2096.66944 + 2097. Let j = -0.33 + s. Round j to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*j + 4. Suppose 0*o - j = -4*n + 2*o, 4*n - 5*o - 6 = 0. Put -4, -5, n in increasing order.\nAnswer: -5, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 56 and 167736?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c + 11. Let t be k(3). Let y(p) = p**3 - 6*p**2 - 10*p + 14. Let m be y(6). Sort 0, 1, t, m.\nAnswer: m, 0, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 7*a**6\/15 - 7*a**4\/12 - 12*a + 13. Let q(g) be the first derivative of s(g). What is the third derivative of q(d) wrt d?\nAnswer: 336*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, -150, -224, -298, -372, -446?\nAnswer: -520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -974, -971, -968?\nAnswer: -965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3812, -20799, -64118, -146933, -282408, -483707, -763994, -1136433?\nAnswer: -1614188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-6)*8\/4\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 816175?\nAnswer: 5, 32647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 45 - 40. Does 5 divide (432\/(-90))\/((-1)\/35) + h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1377231 a multiple of 298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1085055, -1086125, -1087197, -1088271, -1089347?\nAnswer: -1090425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 1.3. What is the biggest value in -4, h, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 4*o**2 + 3*o + 5. Let a be z(5). What are the prime factors of a\/10*(-13 + 1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -85.13.\nAnswer: 25.539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -441 - -467. Calculate the remainder when 1\/(4\/8) - 3 - -232 is divided by w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196 = 94*v + 86 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82113, 82361, 82609?\nAnswer: 82857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 - 3*l**2 - 2*l**3)*(3*l + 2*l - 3*l) - 6*l**4 + 5*l**4 + 11*l**4 + (2*l**2 - 2*l**2 - l**3)*(-4 + 4 + 5*l).\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 517753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of r**4\/12 - 2*r**3\/3 + r**2 - r. Let u be z(4). Let q(t) = 5*t**2 - 3*t**u - 3*t**2. Let o(c) = 6*c. Determine o(q(d)).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 6}. What is prob of sequence ppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -n + 80453, i + 289*n - 26801 = 292*n. What is the thousands digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 185 and 1840343.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 18*s**5\/5 - 12*s - 3. Differentiate x(t) with respect to t.\nAnswer: 72*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 11*j + 1. Let n(r) = 342*r - 9. Give 54*d(h) + 6*n(h).\nAnswer: 2646*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 32 + 19. Let d = -8 - -14. Calculate the remainder when j is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 3*a**2 + a + 23. Let q(o) = -o**3 + 5*o**2 - 3*o - 46. Determine 3*q(k) + 5*x(k).\nAnswer: 2*k**3 - 4*k - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -11012222221 (base 3) to base 5\nAnswer: -10124404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-112)\/12)\/(1712\/72 + -24). Solve o*j - 154 = 14 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11, -12, -13, -14, -15?\n\"Answer: -k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a century in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7824?\nAnswer: 2, 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 221013859 a multiple of 321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -5949860 to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 4*o - 2*j - 20, o - 11 = 2*j. Let m be 1*1\/(12\/o). Which is the nearest to m? (a) 0 (b) 3 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) - sqrt(560))\/sqrt(5) - (0 + sqrt(7) + sqrt(7) + 2)**2 - (-2 + sqrt(7) + (sqrt(7) - (0 + sqrt(7) + -1 - sqrt(7))))) + -1.\nAnswer: -13*sqrt(7) - 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -f**6\/40 - f**5\/30 + f**4\/8 + f**3\/3 + 2*f**2 - 2*f. Let y(v) be the first derivative of z(v). What is j in y(j) = 0?\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/((-71)\/(-639)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 12:56 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5bc1d (base 14) to base 8\nAnswer: -666603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01975511 to 5 decimal places.\nAnswer: -0.01976","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-120)\/(-21))\/10)\/((-52)\/14).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1716*u + 23 - 22 - 1247*u**3 + 1714*u to the form k*u**3 + m*u + l + y*u**2 and give k.\nAnswer: -1247","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*q - 5910 - 586 = -1474. What is the highest common divisor of 6014 and q?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 42015\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 215 + -215.2. Which is the closest to 1\/4? (a) 1 (b) w (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183 is divided by 57.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 628275\/7 - (-60)\/315*-3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 18*l - 4. Let k(a) = 3*a**2 + 24*a. Let f(i) = i**2 + 9*i. Let q(t) = -8*f(t) + 3*k(t). Give q(c(j)).\nAnswer: 324*j**2 - 144*j + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(20\/6 + -3) + 2. Suppose -828 = -12*d + l*d. Does 33 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1638 by 1131.\nAnswer: 42\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 15 + -14 - (-5 - -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 2:21 AM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 540 = -534, -2*z + 70 = -3*r. What is the third smallest value in 4, 1, -1\/7, z, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide (80\/3)\/(10 + 1645\/(-165))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.2 (b) 11 (c) -5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {h: 4, y: 6, q: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in 0, -5, 35?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143084 is divided by 35766?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 2\/15, 10, -80, 2\/3, -2\/11?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 4, -7\/3, 5, -2\/9, -1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - q - 1. Let g(f) = -8*f**2 + 6*f + 8. Let w(b) = g(b) + 6*v(b). Find the first derivative of w(h) wrt h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 1453*p**6\/6 - 5*p**3\/3 + 84*p + 540. Find the third derivative of l(v) wrt v.\nAnswer: 87180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 6, z: 7}. Give prob of sequence zzz.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10101 (base 2) to base 3\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)*-5 + sqrt(99)\/sqrt(891))\/(1*sqrt(36)\/(sqrt(192) - ((sqrt(192) - ((-2*sqrt(192) - sqrt(192)) + sqrt(192))) + sqrt(192)))).\nAnswer: 716*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*p - 7. Suppose -882 = -3*v + y, -5*y = -0*v - p*v + 575. Let f = v + -60. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/6*(-18)\/4. Let t(y) = -2 - 1 - n*y + 4. Let u = -29 + 30. What is t(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 1572026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1192859 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**5 - 66*l**4 - 540*l**3.\nAnswer: -2*l**3*(l + 15)*(l + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*z + 5*z + 6. Suppose z*d = -0*d - 12. Let k(f) = f**3 + 6*f**2 + 8. What are the prime factors of k(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -371 (base 10) in base 6?\nAnswer: -1415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -4*o**2 + o + 1. Determine s(3).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20047\/35070 + -1\/5010. Factor 0 + r*j - 4\/7*j**2.\nAnswer: -4*j*(j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r - r - r + (-4*r + 2*r + 4*r)*(-11 + 3 + 0) + r + r - 3*r to the form o*r + z and give o.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c*c*c**4*c)\/c)**24)**(-1\/23))**(-3) assuming c is positive.\nAnswer: c**(504\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 7*s + 79. Let z be y(-11). Solve 5\/2*x**5 + 7\/2*x**4 - 3\/2*x**3 - x - 7\/2*x**z + 0 = 0 for x.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.9 and 0.2116.\nAnswer: 0.19044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5500 - -5507. Solve -s*y = 35 + 7 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -110 + 130. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that f**3 + 6*f**2 + 12*f + 8 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312 = -66*p + 40*p for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5 = h. Let d(q) be the second derivative of q**4\/4 + q**3\/2 - 5*q**2\/2 - 3*q. Is d(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -164.4 - -0.2\nAnswer: -164.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 77, 149, 221, 293?\n\"Answer: 72*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -33\/5, -2.87, -2\/2127 in ascending order.\nAnswer: -33\/5, -2.87, -2\/2127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80.21*-0.021.\nAnswer: 1.68441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 3*d + 19, 3*y - 2*d - 12 = d. Let q(f) = 6*f**2 + 3*f - 39. List the prime factors of q(y).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -73113380.6 and -9.2.\nAnswer: -73113389.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -1706*b - 47. Let h(z) = -563*z - 15. Calculate -13*h(g) + 4*y(g).\nAnswer: 495*g + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 893987167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/3)\/((-272)\/(-68)*5\/210*-77)?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -165 divided by -15?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 6*t - 3*t. Let o be ((-21)\/35)\/((-1)\/t). Solve o*u - 4*u - 5 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 266316, 532239, 798156, 1064067, 1329972, 1595871?\nAnswer: 1861764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -5 (b) 3 (c) 2\/15 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 5*q - 35, -q + 2*q = -2. Let i = -6 - 19. Let w = 35 + i. Calculate the least common multiple of x and w.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -18\/13 (b) -0.3 (c) -0.2 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*f = 18, -3 = -3*t + 3*f + 15. Let y be -4 + 2 + 57 - t. Is y\/4*(1 + 3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/7 + (-180)\/1925*-5\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31431826.\nAnswer: 2, 211, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 44 = -5*r, -4*r - 32 = -a - 2*a. Calculate the remainder when -4 + 37 + (-6)\/2 is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43123173 a multiple of 339?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((3 - 5)\/26). Suppose 5*n - w = -3. Let q = -0.7 + 0.4. Which is the third smallest value? (a) q (b) -0.1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 17*j - 6. Let p be c(2). Is p - (4\/2 + 0\/1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 387\/4 - 7\/(-28). Let d be 7 + -8 + o + 0. Suppose 5*s - 24 = 36. What is the highest common factor of d and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 18 = l. Suppose 31*y - 2*y + 261 = 0. Does l = y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a week in minutes?\nAnswer: 77280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -671*c + 582. Let y(s) = -2*s. Determine x(y(a)).\nAnswer: 1342*a + 582","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -0.5 (b) 0.1 (c) -4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 79*w + 279*w - 2527 + 6823 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/3 - -11 - 1*2. Find t such that 1\/2*t**5 + 1\/2*t + g*t**3 + 0 - 2*t**4 - 2*t**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 5*h - 20, 7*t - 4*h = 6*t - 10. Let l(d) = d**2 + d - 2. Let c(x) = -x**2 - 2*x + 3. Let g(r) = -2*c(r) - 3*l(r). Calculate g(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10680760800)\/(-680))\/(-10) + 0 + (-2)\/(-17). Round q to the nearest ten thousand.\nAnswer: -1570000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, 0.9, 3, -89, 7 in increasing order.\nAnswer: -89, -0.07, 0.9, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 + 36*q**2 + 232*q - 12. Let w be i(-6). What is the greatest common divisor of 768 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n**4 + 35*n**3 + 25*n**2 - 155*n - 150 = 0. Calculate n.\nAnswer: -5, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1.722447 millilitres?\nAnswer: 0.001722447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04456 + 3.04456. Which is the fifth smallest value? (a) 0 (b) 9 (c) -3\/4 (d) -0.3 (e) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -168342*j**2 - 23836*j - 1.\nAnswer: -336684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4 = -b, o = -o + 4*b + 4. Suppose -p - h = 647, -3*p = -6*p - o*h - 1940. Does 19 divide 6\/15 + p\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in five eighths of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbb when four letters picked without replacement from {b: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2. Let x(w) be the second derivative of -w + 2\/3*w**3 + 0*w**2 + 5 - 1\/3*w**4. Determine i(x(k)).\nAnswer: -16*k**4 + 32*k**3 - 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -105*g + 107*g - 262 + 111*g**2 + 717*g**2 wrt g?\nAnswer: 1656","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 336, 654, 972, 1290, 1608, 1926?\n\"Answer: 318*t + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 269 - 261. Suppose 0 = -z + o*z + 49. Let t(d) = -d**2 - 8*d - 1. What is t(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -54 + 15 + 33 + 29*n + 5. Let s(t) = -14*t**2 - 1. What is s(m(q))?\nAnswer: -11774*q**2 + 812*q - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d - 8. What is the units digit of i(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -49, -103, -195, -331, -517, -759?\nAnswer: -1063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.0096763 - 13.4893896\nAnswer: -13.4990659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 27, 87, 195, 357, 579, 867, 1227, 1665?\n\"Answer: r**3 + 18*r**2 - r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2.4 (b) 2 (c) 4801 (d) 0.349\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4\/5, 2, 8761?\nAnswer: 8761","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, p: 6, q: 1, g: 5}. Give prob of picking 1 p, 1 q, and 1 g.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 797896.\nAnswer: 2, 11, 9067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 23867677 to the power of 1\/2, to the nearest integer?\nAnswer: 4885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-one halves of a century?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l - 3. Let z be r(7). Suppose -z*v + 3*x + 27 = 0, -3*v - 5*x + 0*x = 16. Let g = v - 3. Solve 4*j = -g*j + 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-12)*-2*16\/(-8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 + y - 1. Let v(n) = n**3 - 5*n**2 - 9*n + 7. Let f(o) = -r(o) + v(o). Let t be f(6). Suppose 3*w = w + t. Is w a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1\/i)**(-24)*i**(-1\/2)*i*(i*i**(-3\/2))\/i assuming i is positive.\nAnswer: 1\/i","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 60769849 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -2*h + 9, 0 = 2*b + 4*h + 14 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 3*k + 3*t + 9, -4*k = t + 3. Put -1, 4, 5, k in descending order.\nAnswer: 5, 4, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) -0.1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37 - 27. Let q = -17 - -20. Sort h, -4, q in ascending order.\nAnswer: -4, q, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 - 9*f + 3. Give r(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 260184997879\/3330 + -78133629. Let s = v - 29\/555. Let q = 24452 - 2004981\/82. What is the common denominator of s and q?\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/17)\/((3516\/4688)\/(1*-3))?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -177, -14, -61, 48, 2.\nAnswer: -177, -61, -14, 2, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (2340\/(-2262))\/(-18 + 13)\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of g**4\/30 - 8*g**3\/15 + 16*g**2\/5 - 12*g + 8. Let v(a) be the first derivative of p(a). Factor v(h).\nAnswer: 2*(h - 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 874320506 to the nearest integer?\nAnswer: 29569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 282, 1277, 2926, 5229, 8186, 11797, 16062?\nAnswer: 20981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*f*k*p + 13*f*k - 47*f*p + f - 4*k*p + 2*k + 89*p wrt k.\nAnswer: 8*f*p + 13*f - 4*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1490\/100 + -15 + -4 + (-1945)\/(-450).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.307 - -0.131. Let x = z + -0.038. Is 0.3 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 5:44 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - t - 2*t**2 + (16*t - 21*t - 12*t)*(4*t - t - 4*t))*(-3*t**2 + t**2 + 0*t**2).\nAnswer: -30*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 7*z**2 - 8*z + 3. Let b be i(8). Let l(m) = -6*m - 6. Let t be l(-4). Suppose -6 = b*u - t. Calculate the remainder when 5 is divided by u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 60 = 5*o, -3*j - 2*j - 4*o + 57 = 0. Suppose -5*b - 2*c + j = -0*c, 2*b + 2*c = 0. Let f(n) = 2*n**2 - 3*n + 7. Is f(b) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of -3*w**2 + 0 - 16*w - 1\/6*w**3. What is b(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (152\/(-70) + 2)*(238\/51)\/((-260)\/39)?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z - 3172*z**2 + 1588*z**2 + 1584*z**2 + 30*z**3.\nAnswer: 30*z**3 - 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2584729.\nAnswer: 7, 369247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*k + 56 = 31*k. Solve 6*a + 37 = 2*a - 5*b, a = -5*b - k for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*q**2 + 39*q**2 + 69*q**2.\nAnswer: 121*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 10:49 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.30764cm to kilometers.\nAnswer: 0.0001930764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7615 divided by 1523?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21.896025 months?\nAnswer: 0.182466875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 12:07 PM?\nAnswer: 8:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11497354, 11497349, 11497344, 11497339, 11497334?\n\"Answer: -5*i + 11497359","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 4*d - 6 = 0, 10*d = -2*g + 9*d for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.023 (b) -162854 (c) 2\/7 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3a (base 11) to base 7\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 9*i + 6. Let m be s(-5). What is the remainder when (-6)\/(-42) + (-1020)\/m is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -52, 11198 in descending order.\nAnswer: 11198, 12, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-4))\/(c**(-1\/5)\/c*c))\/((c*c**(2\/5))\/c)**(-23))\/(c*c\/(((c\/(c\/c**(2\/5)))\/c*c*c)\/c)*c*c*c*c**(-8)*c*c)**(5\/18) assuming c is positive.\nAnswer: c**(611\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 5 (c) 1\/3 (d) 19\/3 (e) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 - 36*b - 42 - 44*b - 153*b.\nAnswer: -233*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 5:29 PM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 174*n - 75. Is s(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 4*l**5\/11 + 25*l**4\/11 + 53*l**3\/11 + 47*l**2\/11 + 15*l\/11 = 0?\nAnswer: -3, -5\/4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1824139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 388*k**3 - 265*k**3 - 227*k**3.\nAnswer: -104*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 4 (b) 3 (c) 2\/235 (d) -6043 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 57413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -204908, -204902, -204876, -204818, -204716, -204558, -204332?\n\"Answer: 2*d**3 - 2*d**2 - 2*d - 204906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.066 + 38.934. Let o = 57.5 - f. Let h = -19 + o. Sort 5, 4, h.\nAnswer: h, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.918 - 1.082. What is the second smallest value in v, -3, -60?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*g**4*j + 5*g**3 + 3*g**2*j - 543*j wrt g.\nAnswer: 36*g**3*j + 15*g**2 + 6*g*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, -3, -394.91, 2 in descending order.\nAnswer: 2, 1\/4, -3, -394.91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23737 - -23736 - (3 + 29 + 3).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.4 + 3.9. What is the smallest value in q, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 PM and 7:59 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5*o**2 - 80*o + 186. Let z be a(26). Let i = 22292\/15 - z. Let 0*h + 0 - 2\/3*h**5 + 16\/15*h**4 - i*h**3 - 4\/15*h**2 = 0. Calculate h.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 + 29 - 3*t**2 - t - 11 as d*t**2 + y + j*t and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -11. Suppose -4 = -b + 2*m, 2*b + 5*m = 6*b - 10. Let i = -4 + 9. What is the biggest value in b, p, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 5, 146346, -4, -3, 4 in descending order.\nAnswer: 146346, 10, 5, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -55.9737 to one decimal place.\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8337891*m**2*x**2 + 516554*m**2*x + 2*m**2 + 5*m*x + x wrt x.\nAnswer: -16675782*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -41 - -5. Let c = -34.6 - s. Let w = c - 1.7. Put w, 2, 2\/5 in descending order.\nAnswer: 2, 2\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-345)\/1150)\/(18\/15).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*m**2 - 1 + 1 - 120*m**2.\nAnswer: -20*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -p - 8. Suppose -z - 14 = z - 4*k, k + 46 = -p*z. Let o(b) = -4*b**2 + 13*b + 7. Let g(t) = 2*t**2 - 7*t - 4. Calculate z*g(x) - 6*o(x).\nAnswer: 2*x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1*f)**(16\/11)\/((f\/(f*f**(1\/3)))\/f)**(-2\/109)*((f\/(f**5*f))\/f**(-1))\/(f\/(f\/f**(1\/2))*(f\/(f*f*f**6))\/f) assuming f is positive.\nAnswer: f**(45931\/7194)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -w - 5, -4*t + 9*w + 247 - 202 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 705 + -359. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 1\/6, -5\/2, 3\/2, -7.83, 5 in descending order.\nAnswer: 5, 3\/2, 0.3, 1\/6, -5\/2, -7.83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -0.0209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3a86673 (base 11) to base 16\nAnswer: 6b9769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*k, 0 = 4*l - 3*k + 160 + 17. Let w be (2*l)\/(-6) + 2. Solve -2*h = -10*h - w for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in -0.4, -0.9, -1\/6, 2, -28\/5?\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 23638*c. Let h(y) = 335*y. What is r(h(l))?\nAnswer: 7918730*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/4 (b) -5 (c) -21 (d) 16 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -843*u**2 + 2*u**3 - 129 - 510*u - 127 + 591*u**2 = 0 for u.\nAnswer: -1, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 9:30 AM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from djtdtaddjetadha. Give prob of sequence aajj.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, r: 5, j: 1, d: 6, g: 3, t: 1}. Give prob of sequence drfd.\nAnswer: 5\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1434246 by -2103.\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 7. What is the second derivative of -17*t + 11*t - t**5 - 2*t**x + 0*t**5 wrt t?\nAnswer: -60*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 28 = 6*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 20*b. Let o = 194 + -322. Let n = o + 135. Let x(l) = -l - 3*l - 2*l + n*l. What is x(d(r))?\nAnswer: 20*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 3 - (15 + -13)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 30*l + 1331. Give t(-27).\nAnswer: 521","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*s**3 + 3*s**5 - 6*s**5 - 73*s + 3*s**5 - s**5 wrt s.\nAnswer: -20*s**3 - 180*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 181313, 362679, 544045, 725411, 906777, 1088143?\nAnswer: 1269509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384)*-3)\/((4*sqrt(120))\/sqrt(10)).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -1.313.\nAnswer: -3.939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 8*i**2 - i. Let b(u) be the third derivative of -5*u**4\/24 + 71*u**2 - 5. Determine x(b(d)).\nAnswer: 200*d**2 + 5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**3 + 13*m**2 + 7*m + 5. Let y = 2 - 8. Let v be r(y). Let j be (v\/((-6)\/(-4)))\/((-2)\/9). Sort j, -1, -5, 0 in decreasing order.\nAnswer: j, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24329 + 24332. Let h be (-5)\/15 + 26\/6. Suppose 5*p = h*w - 9*w + 35, 19 = -3*w + 5*p. Which is the closest to w? (a) 4 (b) 1\/5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 times -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02139 rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000000666124 rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.052, 2\/9, 0 in increasing order.\nAnswer: 0, 0.052, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -2185880.\nAnswer: -1\/437176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06 - 0.94. Let h = 17.94 + 8.14. Let k = 0.08 - h. Are k and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 11:21 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2954, 2, 3, 0, 5 in decreasing order.\nAnswer: 2954, 5, 3, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 5*m + 2*m + 0*m - 3*m + 4*m + (-2 + 2 + 2)*(m + 0*m + m) - m - m + m - 3*m + 4*m - 3*m)*(4 - 4 - 2*m + (-6*m + 2*m + m)*(2 + 1 - 4)).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.2, 0.5, 1.91, 0.09, -1\/6?\nAnswer: 1.91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/216 and (-102)\/32 + (-8 + 9 - 2)?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tuuvybw. Give prob of sequence yuvb.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*a + 4*m = 28*a, -3*a + 5*m = 0. Put 18, 2, a in ascending order.\nAnswer: a, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2487, -5002, -7515, -10026, -12535?\n\"Answer: q**2 - 2518*q + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = u - 27. Let i(q) = -q**3 - 7*q**2 - 10*q + 3. Let k = 22 - 27. Let n be i(k). Solve r + n*z = -9, u = -5*z + 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1 - 0)\/(505\/101))\/((-189)\/(-63315)).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eleven quarters of a meter?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0*v + 52 = -5*k, 2*v - k - 44 = 0. Let s be ((-50)\/30)\/((-10)\/v). Determine t, given that 0 - 1\/2*t**2 - 1\/3*t + 0*t**3 + 1\/6*t**s = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(294) + (sqrt(294) - 1*sqrt(294)) + sqrt(294) + sqrt(294))\/(sqrt(9)\/sqrt(3)*4) + -1)**2*2.\nAnswer: -21*sqrt(2) + 449\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2677940, -2677941, -2677942, -2677943?\n\"Answer: -k - 2677939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 67107 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 2*n. Let a be y(-3). Suppose -a*l + 2*l = -11. Suppose 0 = h - 4 - 7. Calculate the lowest common multiple of l and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 3*c = 9, -4*c - 8 = 2*l. Suppose 0 = -3*y + 6, 0*y = 2*j + 5*y - 12. What is the lowest common multiple of l and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4\/541, 0.2, 5, -4?\nAnswer: -4\/541","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 335 + 8*l**3 - 676 + 343 + 10*l**3 as a*l + g + y*l**2 + b*l**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -465 by -6643.\nAnswer: 465\/6643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tb when two letters picked without replacement from {x: 1, o: 1, b: 4, t: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s**2 - 427*s - 14448. What is u(243)?\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 3663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4180.0018 and -4.\nAnswer: 4176.0018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-10))\/((-152)\/(-20))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*d + 5*d + 5 - 5 + (4*d + 0 + 0)*(0 + 2 - 4) + (-5 + 10 + 22 + 17)*(-3*d - 3*d + 4*d).\nAnswer: -93*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r - 12. Determine v(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -66.67 + 47.656. Let t = z - -0.014. Let x(g) = -g**3 + 5*g**2 - g + 6. Let j be x(5). Is j not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17805 and 3765.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 5*u - 778 = -3*d, -4*d + 2*u = -1028. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 2:24 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 33. What is the second biggest value in 0, 1, d, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 150 (base 6) to base 12.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 205 - 50. Let t be -6*(3 - (-2 + s\/10)). What is the highest common divisor of 147 and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7749*l - 1 - 3 - 7701*l)*(l + 3 - 3).\nAnswer: 48*l**2 - 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*g - 6*g = -2882 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n + 4. Suppose 3*g + 8 = 2*t + 5*g, t + 2 = g. Suppose -v + 20 = 3*v. Suppose -2*f + 27 = -5*x + t, -5*x - 5 = v*f. Give d(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 + 8*j**2 - 9*j - 4. Let f be b(7). Let v be -1 - (12 - (3 + -3)). Let r = v - f. Put -2, r, -3 in increasing order.\nAnswer: -3, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28950207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -226 (base 8) to base 16.\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 57 - 169\/3. Let t = -671 - -668. What is the closest to c in 5, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 2:53 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000297898671 to seven dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 2, -1, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 8*b - 2)*(3 - 3 - 2*b)*(-b**2 - 2*b**2 - b**2).\nAnswer: -64*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*s + 12 + 29, 0 = -3*s + 15. Let z be 4*(2 - (-14)\/p). Let x(g) = 5*g - 1. Let l(i) = i. Calculate z*x(j) - 3*l(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 132*x - 802. Calculate i(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28.6833 + 0.0167. Let p = r - 28. What is the nearest to 2\/3 in -3\/2, p, 2\/11?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-20 - -15) - (-1 - -13).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -10. Suppose -2*s + 1 + 6 = -5*l, 3*l + 6 = 3*s. Let d(z) = -s - 2*z - z**3 - z**k + 2*z. Determine d(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(76) + 0 + sqrt(76))**2.\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -2345\nAnswer: -1\/469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 5*d + 470207 - 470110 = 0, x + 39 = 5*d for x.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, a: 3, j: 9}. What is prob of sequence aaia?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*z - 131 = -41 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7921532?\nAnswer: 2, 1980383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - x = 1 + 15, 4*x = 2*y - 34. What is the remainder when 43 is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -666236395 divided by -5.\nAnswer: 133247279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15*(-18)\/495 + (-23099)\/40150 and -53\/6?\nAnswer: 10950","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000014175 to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2494 and 86.\nAnswer: 2494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, -21, 5\/3, -5, 249?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*w - 46*w + 57*w - 198*w.\nAnswer: -272*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.34491804 rounded to 1 dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -3*a + 16, 0*a = -a - 2*q - 2. Suppose -3*i + 23 = 4*y, -i - 3*y + a*y = -6. Let t = i + 32. Calculate the remainder when t is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 8*v + 9. Let o = -11 + 9. What is the least common multiple of (-4)\/(o - 12\/(-9)) and w(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(102)\/sqrt(6) - (sqrt(153) - ((sqrt(153) + sqrt(153)*2)**2 + sqrt(153) + sqrt(153))) - (sqrt(2448)*4)**2*2.\nAnswer: -76959 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**4\/12 - o**3\/6 + o**2\/2 - 3102*o. Let z(n) = 8*n**3 + 2*n**2 - 3*n + 3. Calculate 6*r(k) - 2*z(k).\nAnswer: -16*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 6 + 6)*(-2*j + 5*j - 5*j).\nAnswer: -14*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x + 7. Let t(m) = m - 7. Let o(n) = 3*k(n) + 4*t(n). Let y(f) = f - 7. Let i(a) = -5*o(a) + 4*y(a). What is i(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a milligram in micrograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/11462 and 19\/18191236.\nAnswer: 200103596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*f**2 + 3*f**2 + 0*f**2 + 2*f**2 to the form h*f + g + i*f**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 121 - 6*f**2 - 121 in the form q*f + n*f**2 + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -15. Suppose s*u = 38 + 19. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -9*g - 34. Let o = 3064 - 3069. Calculate r(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**3 + q**2 - 3*q + 4. Let s(f) = -3*f**3 + 2*f**2 - 5*f + 7. Calculate -5*a(h) + 3*s(h).\nAnswer: h**3 + h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -864*u - 5964. Determine a(-7).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125606?\nAnswer: 2, 13, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148964.\nAnswer: 2, 167, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the third derivative of -a**6\/30 + 7*a**5\/30 + a**4\/3 + 15*a**2. Determine m so that d(m) = 0.\nAnswer: -1\/2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2bb + -64?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-30)\/12)\/5)\/((-1)\/46). Suppose -2*i - i + 5*m = -k, -3*i = -4*m - 19. Are 6\/17 and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 557 - 22. Calculate the common denominator of -2 + n\/90 - (-4)\/(-18) and -97\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101213332 - 11?\nAnswer: 101213321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -u**4\/4 - 4*u**3 - u**2 - 13*u + 1. Let p be k(-12). Let b = p + -17. Let t(w) = w**2 + 6*w - 2. Determine t(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2677\/2 or 1338?\nAnswer: 2677\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 66481885 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 4:33 PM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-54)*((-459)\/(-510))\/((-1)\/(-85)).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (540\/(-14))\/(15\/(-210)). Suppose 3*a = 9*a + c. What is a rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1271 + 375 + 697 + 422*p - 2*p**3 - 443*p.\nAnswer: -2*p**3 - 21*p + 2343","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -1\/13, -55, 0.3, 1, 0.1, -0.08?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110 divided by 6.\nAnswer: 55\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 271*b**3*u**2 - 23*b**3*u + 8*b**3 - 4*b**2 - 7*b*u**2 - b + 2534*u**2 wrt b?\nAnswer: 1626*u**2 - 138*u + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -929?\nAnswer: -10\/929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - 3\/2 - (-15)\/(-10). Which is smaller: m or -24\/17?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of 0*f + 0*f**4 + 4*f**2 + 0*f**5 + 0 + 0*f**6 + 3\/70*f**7 - 1\/3*f**3. Differentiate n(s) with respect to s.\nAnswer: 36*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 4*o + 3 = -5*n, 0 = -77*o + 81*o + 4*n + 8 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 2 = 6*y. Find the third derivative of 44*u**2 - 22*u**y - 2*u**5 - 38*u**2 wrt u.\nAnswer: -120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 11:58 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52 and 143.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -9. Let q = -5.9 - x. Which is the third biggest value? (a) -0.2 (b) -5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -125\/29?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -3*p + 5*m, -2*m - 2 = 2*p - 4*m for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**3\/3 + 10375252*g**2\/3 + 20750510*g\/3 + 10375256\/3 = 0.\nAnswer: -1, 5187628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g + 8. Let u be s(0). Let h(i) = -i + 16. Let t be h(0). What is the highest common divisor of u and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -300*m**3*s**2*t - m**3*s*t**2 - 6*m**2*s*t**2 - 2*m*t**2 + s**2*t**2 + 7*t**2 wrt m.\nAnswer: -1800*s**2*t - 6*s*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 1. Suppose -v + 29 = m*t - 4*v, t - 27 = -v. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*o**3 - 2*o**2 + 87 - o**2 - 84 as w*o**3 + g + f*o + u*o**2 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 5 (b) -3.7 (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - ((-8 - -5) + -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229 - 1 = -230*t. Which is the third smallest value? (a) 2 (b) -0.16 (c) -3 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -832, -1694, -2556?\nAnswer: -3418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wxwwxwwxxx. What is prob of sequence xxww?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -0.04, -6, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 335406727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 2. Let z = -5 + g. Let d be (7\/70)\/(z\/(-10)). What is the third biggest value in d, 0, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**3 + 4 - 6 - m**3 - 4*m**3.\nAnswer: -9*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -323044104 (base 6) in base 13?\nAnswer: -1261a9b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 9*b = -1625. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, d: 4, p: 1, q: 2, u: 7}. Give prob of sequence duq.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3003, -2, 3\/8 in ascending order.\nAnswer: -2, 3\/8, 3003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12, -5, 5, -2.032, 2\/35, 0.2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -3, 36, -5 in decreasing order.\nAnswer: 36, 5, 1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 390 + 6.457.\nAnswer: 396.457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 5, -m + h + 6 = 4*h. Suppose -5*w + 7 = -m. Suppose 4*y = -y, -6 = -3*i - 3*y. Is i at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -3*i - 4*l, 8*l = -i + 296 - 290 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -416 - -418. Suppose 4*v - 16 = -5*p, x*p - v + 2 - 11 = 0. Solve 0 = p*c - 4*g + 20, 2*c + g + 10 = -g for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 i, and 1 e when three letters picked without replacement from {u: 1, r: 6, y: 1, e: 3, i: 2, z: 2}.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1762817.07 hours to weeks.\nAnswer: 10492.95875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 40999229 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 4*m + 4*o - 494, -2*o = m - 128. Suppose 240 = p + p + 2*q, -p + m = 2*q. Is p a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21221231 (base 4) to base 15\nAnswer: baa8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 + 5*c**2 + 7*c - 1. Determine n(-5).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57 - -61. Find the second derivative of -3*t + 10*t**4 - 7*t**4 + 2*t**i wrt t.\nAnswer: 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*b**2 + b - b + (0*b**2 - 3*b**2 + 4*b**2)*(-2 + 2 - 1) + 2*b**2 + 0 + 0 + 2 - 2 - 4*b**2 in the form i + w*b**2 + y*b and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180*q - 184*q = 200. Let a = q - -55. Solve -2*m + 5 = -5*d, 5*m = m - a*d - 5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 6*y = 3*s - 266, 0 = 4*y - 5*s - 198. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m + 9*m + 4*m**2 - 39 - 2*m**2.\nAnswer: 2*m**2 - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4660 - -4656. Which is the nearest to 1? (a) 36\/11 (b) 0.3 (c) l (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2420, -4017, -5610, -7199?\n\"Answer: 2*q**2 - 1603*q - 819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.208 (b) 5\/3 (c) 1 (d) 0.5 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 5:06 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -4. Let m(j) = 3*j + y*j - 4*j + j. Let x be m(-2). Let d(k) = k**3 + 5*k**2 - 4*k + 4. Give d(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.8 times -0.36?\nAnswer: 6.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1439*w = -715*w + 37156 + 44696 for w.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94598074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/(-8) - (-3 + (47 - 45)).\nAnswer: -17\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 172 and 96148?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/5)\/(((-16562)\/(-260))\/91*1\/(-14)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {i: 1, k: 1, n: 8, p: 2, x: 5}.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*-2*(-1)\/2. Let k be 1 - ((-3)\/(-4))\/(9\/38). Let z = 47\/30 + k. Are z and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 6 + 10 + 109*n - 54*n - 53*n. Let g be y(-8). Solve g = -4*t + 2*v - 16, t = -3*t - 4*v + 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 50, -1\/3, 0.5 in increasing order.\nAnswer: -5, -1\/3, 0.5, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 + -0.6. Let l = n + 1.5. Let w = -3.5 + 3. What is the second biggest value in w, -4, l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -583 - -585. Let s = 43 + -46. Which is the nearest to 0? (a) x (b) 2\/9 (c) s (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 1:05 AM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -2*a**3 + 11*a**2 + a - 31. What is the remainder when 99 is divided by u(4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35463 is divided by 25?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 233144301 (base 5) to base 14.\nAnswer: 1db67b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95977, 191989, 288015, 384055, 480109, 576177, 672259?\nAnswer: 768355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15900740533 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, 17, 70, 153?\nAnswer: 266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/5819 + -28907\/546986. Which is bigger: t or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -3 - 2 - 4*c + 3*c. Let i be d(-5). Solve 0 = 4*q + x - 8, i*q - 2*x = 3*q - 11 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 28?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 + -71)*(-68)\/4. Suppose -35*f + t = -31*f. Suppose 5*s - g = 377, -5*g = -0*s - 4*s + f. Calculate the remainder when s is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -455*p + 2 + 96*p - 2.\nAnswer: -359*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**2\/9 - 16*g\/9 - 224 = 0. Calculate g.\nAnswer: -28, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 2:31 PM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 2*t + 4. Suppose 31 = 18*k - 5. Let b(v) = -2. Calculate k*q(u) + 4*b(u).\nAnswer: -2*u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.103 times -5509133?\nAnswer: 567440.699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 2. Let y = -5 - -5.3. Let m = -0.2 - y. Which is the second smallest value? (a) -2\/9 (b) m (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 231542*j**2\/3 - 21224682*j\/5 - 44\/3.\nAnswer: 2*(j - 55)*(578855*j + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 12) in base 9?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2*-1)\/(0 + -1). Suppose -a + 3*k + 17 = 0, 0 = -a - f*k + 1 - 4. Suppose a*y - 844 = y. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 308 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 225?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 10*p - 4. Let y be f(-7). Suppose 98 = 5*m - 87. Let s = m - y. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*b - 23 + 93*b**4 - 124*b**4 + 3*b wrt b?\nAnswer: -124*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, -4, 84\/73 in descending order.\nAnswer: 84\/73, -3\/8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*b - 2667 = -2375. Solve j + 5*c + 28 = 0, b*j + 4*c - 27 = -59 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -83.3 - -8.3. Let x = c - 4. Let v = -79.0000066 - x. What is v rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85 + (32 + 1 + -2 - (-138 - -154)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2595025539 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: Suppose -5*u + 15 = -2*x + 5, 20 = 5*u. Suppose 0 = -7*h - 2*h + 99. Suppose -24*l = -28*l - 4*w + 20, -l + w + 3 = 0. Solve h = l*y - x for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 + -55 + 118 + -14\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*x + 2486 = 299*x for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 746.7801 millimeters in meters?\nAnswer: 0.7467801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i + 8 = -11*i. Suppose 3*w - i = 4. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 651?\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 4:16 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 967201 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/9)*d*d\/((d\/(d\/d**5*d))\/d*d))\/(d**(2\/11)*d\/d**3) assuming d is positive.\nAnswer: d**(-40\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59 - 53. Suppose 9 = 2*i + u - 2, 4*u - 20 = -2*i. Solve n = i*n + p for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73, 144, 215, 286, 357?\nAnswer: 428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 342748 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5215608 or 5215609?\nAnswer: 5215608","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 206697755 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/5720 and -7\/1100.\nAnswer: 28600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98708170?\nAnswer: 2, 5, 11, 29, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -25\/7, 4\/3, 3\/7, 3\/5, 13, -133\/10?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.584336 millimeters to meters.\nAnswer: 0.002584336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 45831.1 in -3\/7, -2\/11, -3, 0.5, 0, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27274989 is divided by 70?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(-d + 2*d + d) + (-2 - d + 2)*(93 - 140 - 35).\nAnswer: 78*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-8)\/12*(-1)\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -172, -0.3, -0.1, -1 in decreasing order.\nAnswer: -0.1, -0.3, -1, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 6 and 8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of -4 + 3*d**2 - 2\/3*d**3 - d. Suppose -3*h + h = -2*m - 12, -2 = -3*h - 5*m. Calculate i(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (4\/(-30) - (-968779)\/255) + 1.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -32972*i. Let v(w) = -2*w**2. What is v(j(p))?\nAnswer: -2174305568*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6385898 seconds in nanoseconds?\nAnswer: 638589800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 1:00 AM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/15 - -1\/3. What is the nearest to -1 in u, 5\/4, 2\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1963538333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = k - 5*k. Let g = 1 + k. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -171147*t**3 + 6*t + 167324*t**3 - 6*t + (0*t**2 + 2*t**2 - 4*t**2)*(-4*t + 2*t + 0*t) to l*t**2 + v*t + p + j*t**3 and give j.\nAnswer: -3819","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times -18897622?\nAnswer: -188976.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*y - 4*y - 4*y + 12 + 5*y + 5*y.\nAnswer: 10*y + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 4)*(-155*o + 74*o - 31 + 77*o) in the form j*o + a and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -46*b + 8. Let n be j(-5). Suppose -7*c - n = -0*c. Let g = c - -120. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/6, 7, -3263, -1?\nAnswer: -3263","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -1 + 3 + 155. Calculate the remainder when 4\/6 + (p\/6 - -1) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n and 1 m when four letters picked without replacement from nnnnmnmnnnnmnmmn?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.948 - -0.848. Suppose -49 = -13*c + 3. Sort -4, 1, c, u in decreasing order.\nAnswer: c, 1, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38 + 112\/3. Let g(f) = f**2 + 4*f - 5. Let z be g(-5). What is the nearest to z in -0.5, n, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(-9)\/6 - -3. Suppose 0*h - h + 18 = s. Calculate the highest common factor of 12 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3376 - 10451567.\nAnswer: -10454943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x\/(x*(x*x**(-11))\/x*x)*x))\/x**(1\/9))**(2\/57)\/(((x*x**(2\/3))\/x)\/x**(-1\/12)*x**5*x\/x**7) assuming x is positive.\nAnswer: x**(-143\/2052)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4135.\nAnswer: 5, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 7:06 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/6 + 68\/12. Suppose -2*a = a - t. Suppose -88 = -2*g - a*g. Is 11 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*b - 5 = 0, -3*r + 14 + 1 = -4*b. Let i(x) = x**2 - x - 4. List the prime factors of i(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1)\/i)**(-2\/23)\/(i**(-1)\/i**(-2\/13)) assuming i is positive.\nAnswer: i**(305\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-1 + (-1 - (-5 - -9))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 192 = 3*n, -h = -0*n - 3*n - 24. Suppose 3*w - 2*l + h = 0, -3*l + 67 = -5*w + 8. What is the tens digit of 2112\/55 - (-4)\/w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 3*a. Let t(k) = -2231378*k. Determine r(t(q)).\nAnswer: -6694134*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 11863, 47462, 106797, 189868?\n\"Answer: 11868*o**2 - 5*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 115, 119, 131, 157, 203, 275, 379?\n\"Answer: w**3 - 2*w**2 + 3*w + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 42*x**2 + 12*x - 38 - x**3 - 21*x**2 - x - 14*x**2. Let m be d(7). Find the third derivative of -35*y**2 - m*y**5 - y + 29*y**2 + y wrt y.\nAnswer: -2340*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6055173229 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -911, 1, -1, -53 in descending order.\nAnswer: 1, -1, -53, -911","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 - 2*u + 1. Let d be m(2). Let t(c) = c**2 - 3*c - 6. Let b be t(d). Suppose 13 = b*r - 11. Calculate the lowest common multiple of 5 and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47 (base 9) to base 5\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 2\/7, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 5*o - 14. Let s be n(-10). Does 12 divide ((-63)\/28)\/(3\/s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (-16 + 27 + -19).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.1071 * 20.\nAnswer: 82.142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - z**2 + 1. Let q(g) = -5*g**4 - 5*g**3 - 5*g**2 - 7*g + 5. Let m(j) = -5*p(j) + q(j). What is the second derivative of m(a) wrt a?\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 10:37 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and 22?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31141 and 418.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (1854 - 5107 + 1386)*(4*y**2 - y**3 - 4*y**2) as j*y**3 + k + s*y**2 + t*y and give j.\nAnswer: 1867","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/2 + -6 - (2 + 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 34\/14 - (-3572)\/(-14476). Let t = -0.2 - -0.1. Sort t, -2\/7, s, 0 in decreasing order.\nAnswer: s, 0, t, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2422583?\nAnswer: 131, 18493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/5, 0.9, 143\/6?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -83\/9, 2, -5, 3\/4, -2.184, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1843191 is divided by 11592?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18713*t**3*w**3*z - 13654*t**3 + t**2*z - 496*w**2*z - 70*w wrt w.\nAnswer: -112278*t**3*w*z - 992*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*p - 594 = 75*p for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**5\/7 - 544*w**4\/7 + 3734*w**3\/7 - 6360*w**2\/7 = 0. What is w?\nAnswer: 0, 3, 4, 265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 1001*p**3 - 2*p**2 + 9*p + 9. What is y(-1)?\nAnswer: -1003","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (117\/6552*56)\/(1*(-3)\/69).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + (2 - (3 + 0)). What is the closest to 2\/7 in 3, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16862\/11 - -1532. Which is greater: m or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 4:33 PM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4130 is divided by 1366.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -97 + 140. Let x = q + 21. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 121 = 3*d, -2*d = -3*s + s - 74. Let i = d + -30. Find the second derivative of -11*w**3 - w**2 + 92*w - 87*w + w**i wrt w.\nAnswer: -66*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - (8 + 2)) + (2 + 5 - 7) + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -658, -922, -1370, -2008, -2842, -3878, -5122?\n\"Answer: -t**3 - 86*t**2 + t - 572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00006936243523 rounded to 7 dps?\nAnswer: -0.0000694","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 66 - 66 + 4*x**2 + (49*x + 2*x**2 - 36*x + 0*x**2)*(-4 + 2 + 5) as d*x + r + z*x**2 and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -39*q - 50. Give k(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/1076810 and -29\/1138342?\nAnswer: 39841970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41003429*a**3 - 103976773*a**2 wrt a.\nAnswer: 246020574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -1909*j**3. Let c(v) = 28636*v**3. Give -3*c(b) - 44*h(b).\nAnswer: -1912*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6632 + -32824\/5. Which is smaller: m or 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.049443642 - -0.049402. Round c to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + -2 + 8\/4. Sort -1, 5, y, 34 in decreasing order.\nAnswer: 34, 5, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 1060*y - 1056*y + 16, 3*y + 4 = j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 10*c**4 - 60*c**3 + 45*c**2 + 55*c. Let s(d) = d**4 - 2*d**3 - d. Let b(p) = m(p) - 15*s(p). Factor b(v).\nAnswer: -5*v*(v - 2)*(v + 1)*(v + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z + 7. Let q be j(-6). Which is greater: 5\/7 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, b: 1, f: 1, g: 1, e: 1, m: 1}. What is prob of picking 1 f and 1 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*j. Suppose 2*y - 19 = -0*y + i, -y + 3*i + 7 = j. Suppose 7*g + 4 = 2*g - 2*c, -g + 5*c = -y. Solve g + 2 = -o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, -8\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.23 and 0.6.\nAnswer: -3.738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.009 - 0.009. What is the nearest to 2\/7 in m, -1, -0.02?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-103 - -342) + -279 - (8 + (-1 - -2)).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 + 16*g**2 - 9*g - 9. Let s be f(11). Let i = s - 8963\/18. Calculate the common denominator of i and 59\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/87506312 or 2\/3?\nAnswer: 1\/87506312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qttqdhhqdnnqtnqhdd. Give prob of sequence hdd.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1421 + -333. Suppose -11*j + 16*j = m - 284, -4*m + f = 4*j. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -576 - 66?\nAnswer: -631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {i: 2, j: 1, h: 1, x: 2, v: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 3340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*l + 22*l = -6300. What is the greatest common divisor of 168 and l?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1034220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 86, 91, 116, 167, 250, 371?\n\"Answer: t**3 + 4*t**2 - 14*t + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*g + 1475 = -345 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -4*d + 8. Give t(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (462\/(-120))\/7 + 139\/(-556).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vii when three letters picked without replacement from vixiiiiixvii?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 331 - 997. What is the units digit of (-12)\/21 + z\/(-14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 5408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 202482 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4. Let w(i) = 2*i - 7. Calculate 5*q(u) - 3*w(u).\nAnswer: -6*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 415307530 to the power of 1\/3, to the nearest integer?\nAnswer: 746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -308096 divided by 77024.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 3 - 3. Suppose -264 = -5*l + l. Let x = l - z. Does 34 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/21)\/(2\/14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u + 28. Let i be 4 + 8 - (1 - (-6)\/(-3)). Let h be p(i). Determine r so that -5*r + 2*r - 5*r - r**2 + 5*r**h = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7041 times -0.1393\nAnswer: -980.8113","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, j: 4, v: 7, h: 2, z: 1, g: 1}. What is prob of sequence jhgz?\nAnswer: 1\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -354 + -253?\nAnswer: -5a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 63008417 divided by 2\nAnswer: 63008417\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 258, 2057, 6948, 16479, 32198?\nAnswer: 55653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 - (-71 - (-21 + 70))?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 47829969?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**2 - 5*g + 3 - 5 + 6*g + (3*g**2 - 3*g**2 + 2*g**2)*(-4 + 2 + 1).\nAnswer: -4*g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7419097 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/6 + 21\/(-18). Let v be -2 - 246\/((-15)\/5). Let f be (-17)\/8 + 10\/v. What is the nearest to m in -4, 2\/3, f?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 308525786 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51484 and 940393873.\nAnswer: 12871","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 + 0)*(-5*k - 2*k + 5*k + 4 - 4 + k + (-2*k + 2 - 2)*(2 + 0 - 4) + 19 + 8*k - 19 + 0 - k + 0 + 12*k - 3*k + 0*k).\nAnswer: 95*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11634 + 25301. What are the prime factors of i?\nAnswer: 79, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-16 + (-13 - -29) - (-2 + 11))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*x**6 - 119*x**4 + x**3 + 2*x**2 + 68402*x.\nAnswer: -240*x**3 - 2856*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1048*z - 5930*z**2 + 526*z + 9085 + 522*z wrt z.\nAnswer: -11860*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.7456 - -22.2514. Let y = s - 24. What is y rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59861 (base 12) in base 9?\nAnswer: -203211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of 3*y + 4 + 7\/12*y**4 + 3\/40*y**5 + 17\/12*y**3 + 3\/2*y**2. Factor h(w).\nAnswer: (w + 1)*(w + 3)*(3*w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(5\/3))\/k)\/((k*k**(-3\/4))\/k))\/(k**(-1\/4))**(-14) assuming k is positive.\nAnswer: k**(-53\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4 - 4120164*m**3 - 1414654189212*m**2 - 5658567314976*m - 5658550834368.\nAnswer: -3*(m + 2)**2*(m + 686692)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/10 of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, 2, -8, -54, 1, -4 in decreasing order.\nAnswer: 2, 1, -4, -8, -41, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 2) + -23 + 32 - (0 - 2 - 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(65) + sqrt(65) + (sqrt(65) - (3*sqrt(65) + sqrt(65)) - sqrt(65)))\/sqrt(5).\nAnswer: -2*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -k**4\/12 - k**3\/6 + 65*k**2\/2 - 5*k. Let z be h(0). Calculate the common denominator of z\/(-4)*3\/5 and -75\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -34247\/8 = -4281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 7*r - 21. Are 7 and r equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -3, 2, -4, -7, -12493 in descending order.\nAnswer: 2, -2, -3, -4, -5, -7, -12493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p - 6*p - 9*p)*(-5*p**2 + 0*p**2 + 6*p**2) + (4*p**2 - 2*p**2 - p**2)*(-5*p + 3*p + p) - p**3 + 2*p**3 + p**3 - 2*p**3 - 2*p**2 + 2*p**2.\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 51\/(-85) + (-4)\/10 - -49.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3158623?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (178 + 38 + 728)*(2*h + 2 - 2) + 3 - 3 - 2*h + 1 + h - 1 + (3 + 2*h - 3)*(0 + 4 - 2) - h - 2*h + 2*h + 0 + 0 - h in the form q + b*h and give b.\nAnswer: 1889","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 924.1231 litres?\nAnswer: 924123.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 292544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 * 0.07426822\nAnswer: 0.081695042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-52)\/(-6) - 7)\/(5*2*(-14)\/392).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bl when two letters picked without replacement from {b: 3, l: 5, s: 1, j: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.433, 8\/9, 0.1?\nAnswer: -0.433","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 1\/3254 (c) 6\/553 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 17312 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 76*u. Let l = -46 - -49. Suppose -l*k - 4*i + 362 = 85, -5*k + 3*i + 481 = 0. Let x(r) = -k + 2*r + 45 + 50. Calculate a(x(g)).\nAnswer: 152*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20228086*f**4 - 138*f**2 + 2*f + 654?\nAnswer: 485474064*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -151\/3 - -51. Let o(j) be the second derivative of j**2 + 2*j + 0*j**4 - 1\/15*j**6 - c*j**3 + 0 + 1\/5*j**5. Factor o(b).\nAnswer: -2*(b - 1)**3*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/10)\/(6\/8). Let x = -1.8 - -2.1. Which is the nearest to m? (a) x (b) 6\/11 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/9 - 14*p - 441.\nAnswer: -(p + 63)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 + -84?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 - -1 - (70 - 87).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 98\/98475 and 32\/1515?\nAnswer: 98475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 37266 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 8\/5. Suppose -j + 20 = -6*j, -3 = -5*y + 2*j. Is y at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001265428 to 5 dps.\nAnswer: 0.00127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 40*o**3 + o. Is u(1) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -9 + (8 - 18 - -8) - -59?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/15 (b) 2 (c) 1.3 (d) -3.22 (e) -20 (f) 1\/6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 897435794?\nAnswer: 2, 448717897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 69\/1243?\nAnswer: 69\/1243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23 and 1012.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-50)\/(-4) - 2)*18. Suppose 5*d = 4*u - 2*u + l, 0 = -5*d + 5*u + 195. Suppose 2*f = 3*f - d. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -4*n**3 - 18*n**2 - 63*n - 52. Let a(r) = r**3 + r**2 + 1. Let i(s) = -2*s**2 + 30*s - 27. Let y be i(14). Let d(w) = y*v(w) + 3*a(w). Factor d(o).\nAnswer: -(o + 1)*(o + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by 116\nAnswer: 3\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-6 - -15) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 + 24. Suppose -m = -3*m - r*n + 5538, 0 = -3*n - 9. Let j be 5 - 14195\/m - 4\/(-30). Is -1 greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 3\/2 (c) -2\/5 (d) -168 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 67166.55mg?\nAnswer: 0.06716655","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 1)\/(8 + -7 - -2). Let f = 7 - 5. Let k = f - i. Solve 4*h = 3*u + 22, 10 + 2 = -k*u + 2*h for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*l + 34*l - 10*l - 13*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/6 in -1\/2, 22, 0.1, -2, -0.07?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 146.573955 seconds in days?\nAnswer: 0.0016964578125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*o**2 + 259611362888 - 259611362888.\nAnswer: 73*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1653 and 1090?\nAnswer: 1801770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4*sqrt(7)*1)**2.\nAnswer: -24*sqrt(7) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (48\/10)\/((-6)\/(-555)). Let c = 599 - q. Calculate the greatest common divisor of 5 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1759780 and 760?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v = 25*v - 24. Suppose 32 = 4*p + 5*r - 19, -4*p + v*r + 60 = 0. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, h: 1, e: 10, w: 4}. What is prob of picking 1 a and 1 e?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**3 + 602*y**2 + 2402*y + 103. Calculate a(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1891, -3330, -4767, -6196, -7611, -9006, -10375?\nAnswer: -11712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*u**3 + 111*u**2 - 10532 wrt u?\nAnswer: 45*u**2 + 222*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(-2\/41)\/y))\/y**(11\/4))\/(y**(3\/2)\/(y*y\/(y\/(y*y**(-15))))) assuming y is positive.\nAnswer: y**(-2493\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**4\/3 + 13*w**2\/3 - 4*w = 0?\nAnswer: -4, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2000922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 4058*t - 3 - 4*t**3 + 4.\nAnswer: -4*t**3 + 4058*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7\/13, -0.2, -1\/2, -1\/3, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24311?\nAnswer: 7, 23, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**5 + 32*z**4 + 20*z**3 - 56*z**2.\nAnswer: 4*z**2*(z - 1)*(z + 2)*(z + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 15924120 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 68, 341, 886, 1775, 3080, 4873?\n\"Answer: 12*f**3 + 64*f**2 - 3*f - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/1 + (-1129 - -1117)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 36835 (b) 0.2 (c) 0 (d) 1\/3 (e) 0.0424\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -s*y**3 + 69*s*y**2 + 1097*s*y + 2*y wrt y?\nAnswer: -6*s*y + 138*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 + 16*k**2 + 2*k - 2. Let g be ((-180)\/16)\/(-3)*-4. Let p be f(g). What is the second derivative of -193 + p - 8*o**5 + 2*o wrt o?\nAnswer: -160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2\/(373\/(-125) - -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 13334272, -1, 0 in ascending order.\nAnswer: -1, 0, 1, 13334272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 5*a + 7*o + 72, 12*a - 11*a + 40 = -7*o for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, b: 1, e: 16}. Give prob of sequence tb.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 149898.14 to the nearest 1000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (18\/7)\/((-1)\/(-7)). Let k be 36\/(-10)*195\/117. Let o be k\/f + 32\/6. Sort -2\/9, o, -3 in decreasing order.\nAnswer: o, -2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1)**(-37)*(a**(-2\/9))**30*(a**(-6\/5)\/(a\/a**3*a))**(9\/10) assuming a is positive.\nAnswer: a**(-6577\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 0)*((-1 + 3 + 0)*(9*i - 16 + 16) + (0*i - i + 0*i)*(2 - 1 - 4)).\nAnswer: -21*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**3 + g - 28*g + 57*g as u*g + z*g**3 + x + l*g**2 and give u.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**2 - 73*z + 21. Calculate v(24).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + ((-180)\/21)\/(-5)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 - 37. Is -11 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 78 and 215241?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -105 (b) 3\/4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13514 - -26235. What is the ten thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 25 = 4*x. Let o = 34 + -35. Let c be x\/(-6) + o\/6. Let l(b) = -b**3 - 1. Determine l(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ij when two letters picked without replacement from {i: 11, j: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1091 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 6 = -12. Does 23 divide (-184)\/(-4) - (2 - j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d - 41. Let k(v) = 319*v + 123. Let m(n) = k(n) + 3*z(n). Let s(w) = 0*w**2 - 3*w**2 + 5*w**2. Determine m(s(c)).\nAnswer: 620*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -0.1 (b) -3\/19 (c) -7 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2.949 or -251?\nAnswer: 2.949","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 6*k - 5. Let s be p(-7). Solve 2*m = -s - 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -578*a*c*h**3 - a*c*h**2 - 61*a*h**3 + 6*c*h**3 - 2*c*h**2 - 5*c*h + 1837*c + 2*h**3 wrt a.\nAnswer: -578*c*h**3 - c*h**2 - 61*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2 (b) -586 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 790033 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22 - -206?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence add when three letters picked without replacement from {d: 11, a: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13089 + -7399. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**3 + 2*r**2 + 6*r + 1. Let f(b) = b**3 + b**2 + 2*b. Let d(x) = -17*f(x) + 6*w(x). What is d(5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*o + 14*o - 84*o + 14*o + 7*o.\nAnswer: 11*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**3\/5 + 87*c**2\/5 - 48*c + 156\/5 = 0. What is c?\nAnswer: 1, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -t - 1, -5*t + 16 = -2*h - 33. Sort 0.4, -0.096, h, 0.\nAnswer: h, -0.096, 0, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -16*m + 2. Let t(r) be the third derivative of 17*r**4\/24 - r**3\/2 + 44*r**2. Calculate 2*t(l) + 3*x(l).\nAnswer: -14*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express g**2 - 16797*g - 29 + 16797*g as r*g**2 + j + l*g and give j.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -29*c + 36*c - 5 + 3 - c**2. Let t be b(3). Solve t - 2 = 2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -126319 - 900659.71?\nAnswer: -1026978.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 0*h - h)*(2*h - 2*h - 5*h) - 4*h + 4*h + h**2 + 2*h**2 + 1 - 1 + (-h - 3*h + 3*h)*(-2*h + 2*h - 2*h) + h**2 - 3*h**2 + 0*h**2.\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-50)\/6 + (1 - 4\/6). Let g be f\/14 + (-32)\/(-7). Differentiate 52*t - 52*t - 10 + 0*t**4 + t**g with respect to t.\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53594 is divided by 53534?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*o - 16. Let r = -10382\/3 - -3424. Let w = 37 + r. Which is the closest to w? (a) -1\/6 (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4085, -3917, -3635, -3239, -2729?\nAnswer: -2105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 8. Suppose -h + m + 12 = h, -19 = -5*h - f*m. Find the second derivative of -2*p + 5*p + 0*p - 5*p + 3*p**h wrt p.\nAnswer: 60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 0.1, 8, -7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2103\/11 - (-11)\/(968\/(-16)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 1\/30*t**5 + 0*t**4 + 0*t**6 + 0*t**7 + 0*t - 2*t**2 - 5\/42*t**8 + 4\/3*t**3 + 1. Find the third derivative of g(l) wrt l.\nAnswer: -2400*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 9:30 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -48791867*j**4 + j**3 + 335012*j**2 - 2*j + 63 wrt j?\nAnswer: -1171004808*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -52*i + 56*i + 102 + 126 + i**2. Is d(0) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 20*f + 144. Calculate w(3).\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7098187476?\nAnswer: 2, 3, 21487, 27529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 263124 (base 7) in base 16?\nAnswer: bfdc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.124 (b) 7 (c) 5246\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 274584.9 hours to minutes.\nAnswer: 16475094","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.43 - 0.03. Let p = -24.6 + 0. Let k = p + 23.6. Which is the smallest value? (a) y (b) 0.11 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.4, 14, 3\/4, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 564 and 1269?\nAnswer: 5076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 27211086 smaller than 27211116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20121031133 (base 4) to base 11.\nAnswer: 1273228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 258*f - 2. Let o(d) = 114*d. Determine c(o(g)).\nAnswer: 29412*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + 7*t. Suppose t*g + 30 = 5*g. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126 divided by -14\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 126 and 16?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 305, 589, 873?\nAnswer: 1157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2235?\nAnswer: 3, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*(sqrt(19) + 1) + sqrt(19)) + (sqrt(304) + 0 + sqrt(304) + sqrt(304) + sqrt(304) + sqrt(1216) + -1)**2.\nAnswer: -45*sqrt(19) + 10951","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1046 and 243.\nAnswer: -254178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)*3*-1 + (-2*-3*sqrt(143) - sqrt(143)))\/(1*sqrt(704) + sqrt(22)\/sqrt(2)*6).\nAnswer: sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 5582711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 698701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9101.\nAnswer: 19, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3763)\/426)\/(((-6)\/(-8))\/(63\/(-14))). Suppose 3*o = -6, 3*y = 5*o + 6 + 16. Suppose b = -y*k + 1005. List the prime factors of k.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 273 and 651924.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38 - 2428*c**2 - 32 - 22 + 91 to l*c + i*c**2 + r and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 6*k + 28. Let j be -2 - (4 - 3) - k. Put j, 3, -5 in decreasing order.\nAnswer: 3, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**5\/8 - 9411*a**4\/4 + 7053*a**3 + 47037*a**2\/4 - 56427*a\/8 - 18813\/2 = 0. Calculate a.\nAnswer: -1, 1, 4, 6271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/12)\/((-1)\/(-15)). Let j = -2 - r. What is the lowest common multiple of j and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (k**4 + 2*k**4 - 5*k**4)*(13826 - 1982 + 16428 + 3958) as f*k**4 + z + o*k**3 + s*k + h*k**2 and give f.\nAnswer: -64460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2058550865 to the power of 1\/3, to the nearest integer?\nAnswer: 1272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3.352566 days?\nAnswer: 4827.69504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8\/55 + 5\/11. Let g = -53 + 49. Which is the third smallest value? (a) r (b) 3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 5:25 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 411 - 411. Suppose 4*u + 17*u - 11*u = d. Solve u = -4*j + 12*j + 24 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 288695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 12, 8*z - 10*z + 2378 = 2*w. List the prime factors of z.\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -83203\/28 - -2972. Let b = -2\/7 - l. Sort b, 2\/3, 1\/2 in descending order.\nAnswer: 2\/3, 1\/2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5*o**2 + 4*o**3 + 0*o**3 - 3*o**3 + 6*o + 3*o**2 - 8. Let k = -5 + -2. Let b be g(k). Sort 0, b, -2.\nAnswer: -2, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/9 - 23\/(-3). Suppose 3*o - 20 = x*o. Let r(d) = d**3 + 4*d**2 - 5*d + 4. Let j be r(o). Solve 4*b = 0, j*b - 4 + 20 = -4*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*s**4 - 107418*s**3 - 4744239*s**2 + 3210570*s = 0.\nAnswer: -11891, -45, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8339486 or -25018462\/3?\nAnswer: -25018462\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/5 (b) 1419 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-1\/7)*n)\/n**(-1\/4))**8 assuming n is positive.\nAnswer: n**(134\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 9:49 PM?\nAnswer: 2:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 4*w**2 - 4796*w + 52272 = 0.\nAnswer: 11, 1188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -13*z + 169. Let c be b(13). Solve c = -5*a + 15*a - 10 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - a - a + 198, -5*p = 4*a - 206. Suppose p = 4*o - 22. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of s**5\/150 - 3*s**4\/4 - 46*s**3\/15 - 33*s**2 - 4*s. Factor k(d).\nAnswer: 2*(d - 46)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47a4032 (base 11) to base 13\nAnswer: -196b830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 0. Let q be (37073\/(-28))\/(v\/(-2)). Let z = -2650 + q. Find the common denominator of 25\/4 and z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-116)\/(-5104)*12\/3?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 593801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 4*c + 5. Let y(x) = -x**2 - 5*x + 2. Let g be y(-5). Suppose -g - 6 = 2*i. What are the prime factors of o(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l**2 - 17*l - 50. What is the remainder when z(-5) is divided by 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -10000110011?\nAnswer: 10000111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirty-one fifths of a kilogram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7 + -1.7. Which is bigger: p or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0 + (0 + 1 - 3)*(-2 + 0 + 3) - 4 + 2 + 0)*(7 - 3*l**2 - 7).\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2437489, 4875084, 7312681, 9750280, 12187881?\n\"Answer: c**2 + 2437592*c - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*n + 3 - 98*n - 7*n**2 + 0*n**2.\nAnswer: -7*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100100011 + -11001?\nAnswer: 101100001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 407265 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 287048.\nAnswer: 2, 53, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -20*39600\/(-32)*4\/(-3). Round d to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1399018 divided by -24121\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (23525\/(-5000) - (-1 - (-207)\/225))?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/7)\/(-5 + (-66)\/(-12)). Let l be 3\/(117\/6*-1). Which is the closest to -1? (a) 1 (b) l (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 7, -2\/9, -2.348, 5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**5\/13 + 220*f**4\/13 - 6094*f**3\/13 + 26420*f**2\/13 - 30192*f\/13 = 0.\nAnswer: 0, 2, 3, 37, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4864578991\/4244 - 1146225. Find the common denominator of -41\/6 and n.\nAnswer: 12732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5950409981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 28 = -3*d, 12*w + 4*d = 10*w + 56. Solve w*t + 120 = 4*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 4*v**2)*(-4*v**2 - 5 + 5) + (2*v**2 - 2*v**2 - 2*v**4)*(2 - 1 - 4) + v**4 - 2*v**4 + 0*v**4)*(-8 - 2 - 7).\nAnswer: -357*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) 1\/3 (c) 150 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12073686\/113 + -106846. Is u < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7942)\/8151)\/((-4)\/42) + (-132)\/12?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -206938 divided by -87?\nAnswer: 206938\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1154 is divided by 91?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -7*a + 48. Let i = 10 + -3. Let k(h) = -h**2 + 7*h + 3. What is the lowest common multiple of k(i) and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.377 - -0.27. What is g rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 - 5 - (1 - 36). Suppose -4*m = -4*b + k, 5*b + 5*m = -2 + 27. Let v be 6*(-96)\/(-9) + -1. What is the highest common divisor of v and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*r = -2*d - 36*r + 63*r + 10, r = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17136 divided by -8?\nAnswer: -2142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2445.596 - -0.083092776?\nAnswer: 2445.679092776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 215 = s + 5*o, -2*s - 5*o + 86 = 0. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + 3)*(-2*a + 4*a + 4*a) + (2 - 1 - 3)*(0*a - 3*a + 4*a))*(31*a**2 - 23*a**2 + 38*a**2).\nAnswer: 736*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 524, 1047, 1570, 2093, 2616?\n\"Answer: 523*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28097175 and 11475?\nAnswer: 252874575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 5*h - 3*h + 9, 32 = 4*h - 4*p. Suppose 8*u = h*u + 75. Calculate the highest common factor of 30 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2790 - 44637\/16. Let b(k) be the first derivative of -1\/2*k - 1\/8*k**2 - 9 + 1\/3*k**3 + x*k**4. Factor b(t).\nAnswer: (t + 1)**2*(3*t - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3543 - 3542.9. Let q be (-6)\/27 + 4450\/9009. Let p = q - -2\/143. Which is the smallest value? (a) p (b) 5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/11)*((s\/(s\/(s\/(s*s\/(s\/(s\/(s*s*s*s*s**(-2\/11)))*s)*s*s)*s)))\/s)\/s assuming s is positive.\nAnswer: s**(8\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -2\/5 (b) -5 (c) 86\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 3:50 AM?\nAnswer: 2:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -567 + 1097. Let t = 768 - g. What is the highest common divisor of 28 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-3)*(16 - 14) + 10\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -244\/3 + 58. Calculate the common denominator of 3\/22 and u.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8741 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33 and 24.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.13 + -0.13. Let p = s - 15.8. Let h = -15 + 13. Which is the nearest to p? (a) h (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3*d - 758 = 287, 2*r - 444 = 4*d. Let b = r - 207. Solve b*x = 5*v + 5, -16 = -4*x - 4*v + 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21151\/4 + -5288. Sort -0.4, -298, 3\/4, n, 3 in descending order.\nAnswer: 3, 3\/4, n, -0.4, -298","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177481938.\nAnswer: 2, 3, 17, 23, 75653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o. Let u(p) be the third derivative of p**5\/30 + 12*p**2. Calculate u(k(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -z + 2*z. Let x = z + -14. Let w(o) = o - 515*o**2 + 2 + 516*o**2 + 2. What is w(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 195*v + 5036. Calculate j(-26).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (33 - -28) + -176 + 43\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -4*c + 8, 69*v = 2*c + 71*v - 4. Let d = 11 + -7. Suppose -5*u + d*u = -4. Solve -c*w + 6 = -u for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*(27\/((-12474)\/(-44)))\/((-1)\/(-28))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58 + -25. Find the second derivative of -227*a**5 + 18*a + 219*a**5 + 5*a**4 + m*a wrt a.\nAnswer: -160*a**3 + 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (126\/(-15))\/(1\/10). Let j = -39 - z. Suppose j = 4*t - 167. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 7*v**2 + 164*v - 95. Calculate c(-24).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4021.7652 bigger than -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (462\/88)\/(8\/(9216\/108)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 12*r + 14. Let d be w(11). Suppose -7*l + 6*l = 0. Let n = d + l. Calculate the greatest common divisor of 5 and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -10*k - 4*h - 25, -10 = 2*k + 2*h for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5964 is divided by 1177.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 878085 divided by -57\nAnswer: -15405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7174 and -0.361.\nAnswer: -2589.814","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence okjo when four letters picked without replacement from jkkkkkkkjkkojkokkkkk.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2 - 2*z**3 - 38*z**2 + 6*z - 2*z**3 + 37*z**2. Is x(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of y**6\/90 - 19*y**5\/45 + 17*y**4\/9 + 45*y**2\/2 - 5*y + 9. Let z(h) be the first derivative of q(h). Factor z(p).\nAnswer: 4*p*(p - 17)*(p - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - x**2)*(0 + 3 - 1) + (0*x + 2*x**2 + 0*x)*(1 + 2 - 2) + x - x**2 - x.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**4)\/c**(-2\/7))**(-11\/5)\/(c\/((c*c\/((c\/(c**(-1\/10)*c)*c)\/c))\/c)*c**(2\/5)*c*(c*(c\/c**(2\/3))\/c)**(-16\/7)) assuming c is positive.\nAnswer: c**(-371\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -1265*u + 2518. Calculate g(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v - 7. Let n = -1262 + 1283. Calculate the remainder when n is divided by h(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18075, 18076, 18077, 18078, 18079?\nAnswer: 18080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30 - -37) + 5 + -2 + -22.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 - z**2 + z + 0*z**2)*(2307*z - 109344 + 109344)*(0*z - 2*z + 0*z) - z**3 + z**3 - z**4.\nAnswer: 9227*z**4 - 4614*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 2*z - 1. Let w be l(-1). Solve -d + w*d + 3 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 3*o + 12, -3 = o - 2*x - 10 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14095 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 5*h = 15*t - 292, 48 = 3*h + 3*t for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*c - 67*c = 14*c + 50 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18887 equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -143752.\nAnswer: 5\/143752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3705530 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*p**2 + 5*p**2 - 4*p**2 + (2 + p - 2)*(-2*p + 3 - 3) + p**2 - 8 + 8 + 2*p**2 - 6*p**2 + 2*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 80 = -2*l, -2*l - 2*k = -k - 72. What is the second smallest value in l, -1\/3, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d - 7. Let l(t) = -t. Let f(z) = c(z) + 2*l(z). List the prime factors of f(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 1. Suppose -x*a = -4 - 5. Suppose 3*m - 41 = -4*l - l, 0 = -a*m + 4*l + 32. Solve -3*z + m = z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.30480887 rounded to 0 dps?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38 and 160?\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11651277?\nAnswer: 3, 11, 353069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -107\/2 in -4, -11, 2\/23, -0.2?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 0.3, 1023, 11, -2\/609?\nAnswer: -2\/609","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 189\/(-2 + -1)*-7*24\/(-504)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000354441 to 6 dps.\nAnswer: 0.000354","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - (-10 + (12 - -17)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27 + -34. Which is bigger: -1\/4 or x?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3490943 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 1 + 7. Suppose -14*x + 0 + 0 = 0. Suppose x = 5*l - 20 - 5. Solve 8 = -l*q - o for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 4*d + 26 = 0, 3*b + 20*d + 6 = 17*d for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y - 50. Let a(k) = -33 - 115*k - 400*k + 516*k. Calculate -7*a(m) + 5*v(m).\nAnswer: -2*m - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21 and -75731.\nAnswer: 1590351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -7*u**3 - 21\/2*u**2 + 1 - u. Let t(a) = -4*a**2 - 4*a. What is -2*g(z) + 11*t(z)?\nAnswer: -2*z**2 - 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - (12 + -14) - -1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14 - (-13)\/(208\/9376). Calculate the highest common divisor of l and 850.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 418*p + 3638 + 4123 = 655 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 - 3)*(4*z**3 - 2*z**3 + 2*z**3) - z**3 + 0*z + 0*z + (-z**3 + 0*z**3 + 0*z**3)*(-1 - 1 + 0) + 9867*z + 227*z**3 - 9867*z.\nAnswer: 220*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -299? (a) 1 (b) -32 (c) -1\/432\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46 by -1.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*g + 34 = 0, 3*h - h - 96 = 4*g. Suppose -14*y - 1590 = -h*y. Calculate the remainder when y is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3404*a**2*y**2 + 102951*a**2 - 2*a*y**2 + 724*y**2 + 683 wrt y.\nAnswer: -6808*a**2*y - 4*a*y + 1448*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*x - 5*t + 41, 5*x - 37 = -3*t. Let q = x + -3. What is the second derivative of 4*f + 7*f + 2*f**2 - q*f wrt f?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 10:42 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2976651*v**3 - 561236*v**2.\nAnswer: -17859906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6638*m - 6643*m + 5*y + 85, -5*y = 105 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Convert -67a (base 14) to base 8.\nAnswer: -2404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v - 9 + 33. Solve v*i - 4*u = -16, -2*i = -u + 1 + 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 416 and 52?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*j**3 - 6290*j**2 - 28825*j + 8750.\nAnswer: -5*(j + 5)*(j + 175)*(7*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 55) + (-67 - -166).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 828*a**3*k*q**2*t**2 - a**3*q**2*t**2 - 156*a**2*q*t**2 - 2*a*t - 3*k*q - 36*q**2*t**2 wrt k.\nAnswer: 828*a**3*q**2*t**2 - 3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 6*u - 230. Suppose -5*a - 1 + u = 0. Suppose -31 = -3*t + 4*n + a, 0 = 4*n - 8. Does 16 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52584, -105160, -157738, -210318, -262900, -315484, -368070?\nAnswer: -420658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 3*u**2 - u + 2. Let h be o(-3). What is the third derivative of 5*g**3 + 0*g**3 - 5*g**3 - 4*g**2 - g**h wrt g?\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11818 and -30.67892.\nAnswer: 11787.32108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**2 + 2*c**2 + c**2)*(246708*c**2 + 2*c**3 - 24 + 246664*c**2 - 493441*c**2).\nAnswer: -2*c**5 + 69*c**4 + 24*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, -6, 3, 1 in ascending order.\nAnswer: -6, 1, 3, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -396\/1015 - 2\/203. Let u = -36 + 35.9. Which is the third smallest value? (a) u (b) -2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of -3*x**4\/8 - 257*x**3\/6 - 14*x**2. Let r be z(-29). Solve 12*y = 8*y + r for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -1405?\nAnswer: -140a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 189*q**4 - 12*q**3 - 2*q**2 + 41*q - 23868067 wrt q?\nAnswer: 756*q**3 - 36*q**2 - 4*q + 41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 6*b + 1. Let k be (2 - 3) + -2 - -1. What is j(k)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 6*r**3 + 179*r**2 - 185*r + 7. Calculate k(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5324997 weeks to nanoseconds.\nAnswer: 322055818560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-963.98.\nAnswer: -3855.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = 37*c - 236 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i - 7. Let b be x(6). Solve 6*d + 3*d**4 + 2*d**2 - 15*d**3 + 9*d**b - 7*d**2 - 4*d**2 + 6*d**2 = 0 for d.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u + 1. Let n be q(0). Let p(v) be the second derivative of 1\/2*v**2 - 271*v + 5\/6*v**3 + 0. Give p(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-6)\/(-14) - 126\/(-49)) + -4. Let p = 0 - 0. Let q = 0 + p. Which is the second biggest value? (a) q (b) -0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49 + -30 + 14 + -22 - -29.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(-5*8\/(-49360)). What is b rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119670 is divided by 39883?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6\/(-7))\/((-6)\/56). Suppose -z = -5*l + k, -5*l + 8 + 8 = 3*z. Let w be 1\/(z*(-2)\/(-8)). Solve -4 = -3*o + w*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + k)*(-3*k**2 - 1 + 1)*(41 + 6 + 11).\nAnswer: -174*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (181 - 4*v - 181 + 10*v)*(-18*v**2 + 78*v**2 - 19*v**2).\nAnswer: 246*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7673*k**2 + 2106 - 2106 - 22752*k**2 to i*k + t*k**2 + y and give t.\nAnswer: -30425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8700 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.04 and -135185060386.83.\nAnswer: -135185060386.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 35*w - 5037 - 4763 = 0. Is -392 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4935 + 4929. Which is the second smallest value? (a) r (b) 1\/6 (c) -0.5 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-12))\/((-3)\/(-12)). Sort x, -0.3, -2\/5 in descending order.\nAnswer: -0.3, -2\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 + (207 + -209 - (0 - -14)) + 14.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 7*o - 2*b + 7, -4*o = 5*b - 1. Let k be (-25)\/(-30)*-38*-6. Let g = 197 - k. Is o at most g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 489 + 47*m**2 - 48*m**2 to the form k + h*m + f*m**2 and give k.\nAnswer: 481","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**10)\/(c\/(c*c*c**(-2\/3))))\/(c\/(c**(1\/4)*c))**(-47) assuming c is positive.\nAnswer: c**(-245\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1384, 1381, 1378, 1375, 1372?\nAnswer: 1369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 11 - a**2 + a**3 + 4*a**3 to the form w*a**2 + h*a**3 + m*a + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - j**4 - j + 7*j**3 + 1 - 9*j**3 in the form d*j**3 + s + y*j**4 + u*j**2 + m*j and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 882, 2332, 4790, 8256, 12730, 18212?\n\"Answer: 504*l**2 - 62*l + 440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42721*y**2 - 21355*y**2 - 21361*y**2.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, e: 4, k: 2, j: 4}. What is prob of picking 4 e?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -667.33 - -667. What is the fourth biggest value in -4, 4\/5, z, 2\/17?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181704?\nAnswer: 2, 3, 67, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -48, -7, 4, 7 in ascending order.\nAnswer: -48, -7, -3, 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4309 + 4309 + 2*d**3 + 0*d**2 + 3*d**2.\nAnswer: 2*d**3 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 158*u**3 + 23 - 38 - 162*u**3.\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a + 1. Let k be j(-4). Suppose 0 = f - k - 45. Let n = f - 7. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15584 + 15740. Solve z*a - 12 = 152*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.092771*-0.1\nAnswer: 0.0092771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 0, 3, -1 in descending order.\nAnswer: 17, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*(5 + sqrt(475) + 0) + -2*sqrt(304)*-4 + (-4 + sqrt(304) + 1 + sqrt(304) - sqrt(304)))**2.\nAnswer: -78078 + 4056*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 424, 2136, 6812, 15934, 30984, 53444, 84796?\nAnswer: 126522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**3 + 31*d**2 + 61*d + 52. What are the prime factors of t(15)?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -339*a - 13720. Give l(-40).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(3 + (-33)\/12) - 105\/(-2). Let x = -181 + 393. Calculate the greatest common factor of x and v.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/4524 and -3\/66352?\nAnswer: 199056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(((x\/(x*x*x**(1\/11)*x))\/x)\/x))\/x)**(-22) assuming x is positive.\nAnswer: x**(-112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10277.1229953 + 10277.07. Let t = 0.56 + -0.613. Let u = t - q. What is u rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*c + 74*c - 43822 = -436*c - 12362 for c.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of c**5\/60 - c**2. Let w be n(-3). Suppose -2*q = 5*u - 4, -q + 4*q = -w. Solve -u*h + 0 = -4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40785 plus 122?\nAnswer: 40907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -34*w**2 + 546*w + 79. Let h = 38 - 22. What is the remainder when r(16) is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.52 - 38.48. Let r = -38.8 - a. What is the third biggest value in 0.34, 0.5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, r: 3, m: 8, h: 3, c: 1}. What is prob of picking 1 u and 2 h?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 23322752 - 1\nAnswer: 23322751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15666282\/509975 - 6\/20399. Let r = a + 29641\/925. Let v = 4\/2841 - -73838\/19887. What is the common denominator of r and v?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 12*q**2 + 2*q + 1. Let p be j(-1). Let k = 9 - p. Let n = 6 + k. Which is the smallest value? (a) -0.5 (b) n (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -140 (b) -4\/5 (c) -1707\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53\/4 - -13. Let i = 3.364 - 0.064. Let r = i + -3.3. Which is the second biggest value? (a) x (b) r (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the first derivative of -9*z**2\/2 - 4*z + 7. What is the remainder when 95 is divided by t(-4)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w + 5. Let m be b(10). Let o(f) be the first derivative of f**2 + 1. Let l be o(1). Sort 0, l, m in descending order.\nAnswer: l, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 8:31 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -1851063.544 to the nearest one thousand.\nAnswer: -1851000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 735 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 3*n**5\/20 + 15*n**4\/8 - 27*n**3\/4 - 27*n**2\/2 - 762. Factor g(q).\nAnswer: 3*q*(q - 3)*(q + 1)*(q + 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -0.9 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130178535?\nAnswer: 3, 5, 29, 299261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 87.703 times -0.3\nAnswer: -26.3109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/4020 and 139\/8844.\nAnswer: 44220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -101*t**4 - 2*t + 716 wrt t.\nAnswer: -404*t**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 16*y**3 + 858*y**2 + 62214*y + 1492992. Let k(w) = -2*w**3 + w**2 - w. Let l(u) = h(u) + 6*k(u). Suppose l(o) = 0. Calculate o.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-9) + (-11)\/3. Let n = 0 + j. Let m = -0.35 - 0.05. What is the second smallest value in n, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.52 + -0.02. Let k = -49.67 + 0.67. Let y = 44 + k. Put y, s, 0 in ascending order.\nAnswer: y, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 6) to base 5\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*a**5 + 29*a**3 - 29*a**3 + (2*a**2 + 0*a + 0*a)*(-1 + 1 - a**3).\nAnswer: 5*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f**2 - f + 1. Let p be x(1). Suppose -a + 29 = -p*s, 4*a + 2*s - 105 = 3*s. What is the first derivative of 31 - 6*u**3 - a + 4*u - 4*u wrt u?\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-78 - -55 - -38) + 2 + -2.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(5\/3)\/(b\/b**10))**12*b**(-2\/3)*b**(1\/7)*(b*b\/(b**(-1)*b)*b)**(-32) assuming b is positive.\nAnswer: b**(661\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -2*s + 25*s**2 + 0*s**3 - 11 + 0*s**5 + 0*s**4 - 1\/2*s**6. What is the first derivative of d(l) wrt l?\nAnswer: -60*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*k**3 - 12*k**2 + 5*k**3 - 23*k**3.\nAnswer: 3*k**3 - 12*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n - 1. Let i be u(5). Suppose i*f = -f + 5. Let d be 7 + 180\/(-25) - 79\/(-445). Which is bigger: f or d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -39, -68, -105, -150?\nAnswer: -203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -7 - ((38\/(-15))\/19 - (-377998)\/(-15))?\nAnswer: 7, 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 147.98 - -9.42. Let t = g + -157. Sort -2.8, t, 3 in descending order.\nAnswer: 3, t, -2.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*a*c*o - 106*a*c + 28*a*o - 147*a + 86261*c*o + 14*c - 3*o - 3 with respect to a.\nAnswer: -14*c*o - 106*c + 28*o - 147","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(5 + 2 + -1*sqrt(147))*4 + (-2 + sqrt(147) + 5 - (sqrt(147) + -1)*-2) + -1.\nAnswer: -91*sqrt(3) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -7613004 and -7613009 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 54, 79, 82, 51, -26, -161, -366?\n\"Answer: -2*k**3 + k**2 + 36*k + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.50715468 rounded to 4 decimal places?\nAnswer: -1.5072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.7400292 micrograms?\nAnswer: 0.0000000000007400292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -31*s + 63. Solve s*y - 3*w - 13 = 0, 3*w - 6 - 11 = -4*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 29 = 3*s, i + 15 = s - 2*i. Suppose -q + 61 = 5*v, 0*q + 27 = s*v + 3*q. Calculate the remainder when v is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8\/37? (a) 40 (b) -3\/7 (c) -1\/5 (d) -4 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = -29*s - 14 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -995 = -3*v - 44. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 5 (c) -1\/160 (d) 2\/5 (e) 0.035\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*z, 2*g + 3*z + 0 = -1. Let s(b) = -7*b - 1. Determine s(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u + 1. Let r(m) = 14*m**2 + 70*m - 70. Determine -2*r(b) - 140*v(b).\nAnswer: -28*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -686 + 692. Sort -4, -3.5, c in descending order.\nAnswer: c, -3.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(2 - 2)*(-2 - -3). Suppose 4*w + 20 = z, 1748 = 5*m + w + 253. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 11 = 3*y, 2*y - 14 = u - 5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of 3*l**5\/4 + 5*l**4\/4 + 25*l. What is the third derivative of w(o) wrt o?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*o**2 - 26 - 11 + 2*o**3 + 39 - 2*o to the form q*o**2 + d*o + u*o**3 + v and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -604622\/9 + 67180. Let z = 138\/5 - 28. What is the third smallest value in z, -1, -2\/3, u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16718382 and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4200 (base 5) to base 14.\nAnswer: -2b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 58354 - -2?\nAnswer: 58356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -100202 (base 4) in base 10?\nAnswer: -1058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9445 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2448 and 2464524?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7897471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jljl when four letters picked without replacement from {l: 4, j: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*l + 34 = u, 3*l = -4*u + 60. Suppose 6 = -6*k + u. Suppose k = -6*g + 2. Which is smaller: g or 3\/7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*c - 5*c**2 - 12*c + (-3*c + c + c)*(-2 - c + 2) - 3*c - 2*c + 4*c + 3*c**2.\nAnswer: -c**2 - c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 337 - 335. Is 55 a factor of 1 + -1 + g + -6 + 518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.6, 2710, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1283 - 1266.06. What is n rounded to 0 dps?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4256663816183 - -4256678402111.000046. Let l = -14585986 + f. Let o = 58 + l. What is o rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5890 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6d58 - 13d60?\nAnswer: -1acb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**10*y*y**(-1\/5))**(-19\/5) assuming y is positive.\nAnswer: y**(-1121\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -10123*y**3 + 12*y - 2. Let t(k) = 30369*k**3 - 39*k + 7. What is 13*g(b) + 4*t(b)?\nAnswer: -10123*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 3*w**5\/5 - 495*w**4\/4 + 482*w**3 + 972*w**2 - 6227. Let b(z) = 0. What is z?\nAnswer: -1, 0, 4, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -66\/7, -0.2, 7\/17?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/22)\/(652\/(-17930)). Let x(v) = 7*v - 1. Let k(o) = o. Let i(p) = 6*k(p) - x(p). Give i(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*2*2\/8. Let d = 127 - 130. Sort s, -1, d in decreasing order.\nAnswer: s, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*w**3 - 27*w + 27*w.\nAnswer: -15*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-1))**27*y**(-2)*y**(1\/4)*y**0*y*y**(-1\/5)\/y*(y**(2\/5)\/y)\/y*y*y*y\/y**2*y assuming y is positive.\nAnswer: y**(1049\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12005 + -12002. Put -25, u, 29, -5 in increasing order.\nAnswer: -25, -5, u, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -179*k - 186. Let t(u) = 624*u + 650. Let w(p) = 18*i(p) + 5*t(p). Determine w(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 89 - -161. Let u = s - 235. Calculate the remainder when 431 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 8 + 14. Let y be 1 + (t - (-2 + 6 - 9)). Suppose 4*j - 45 = v, 3*j - 51 = -y*v - 2*v. Solve -5*z + 8 = -j for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1))**38)**(1\/9)\/(r**(-5)\/r*r*r\/(r\/((r**4\/r)\/r))*r)**25 assuming r is positive.\nAnswer: r**(412\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -1. Let p = m + -71. What is the tens digit of (-2899)\/p + 6\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 - -9. Let f be ((-6)\/21)\/(1\/l). Differentiate f - 4 + 3*s**4 + 0 wrt s.\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*b**2 - 2*b**3 - 20*b + 15*b**2 + b**4 - 17*b**2 + 2 + 16*b**2 in the form q*b**4 + j*b + w*b**2 + a*b**3 + l and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 141.5 - 142.5. Which is the second biggest value? (a) i (b) 1\/4 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (24 - 16) - -10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {w: 7, y: 6}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10.02996 from 1201.857.\nAnswer: 1211.88696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -583*b**2 - 52*b. Let y(z) = -1144*z**2 - 102*z - 1. Let w(i) = -9*a(i) + 4*y(i). What is the second derivative of w(l) wrt l?\nAnswer: 1342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -19*q - 17. Suppose -3*g = 3 + 6 + 3. Calculate u(g).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of -u**4\/4 + 2*u**3 - 22. Factor n(w).\nAnswer: -w**2*(w - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 8*t + 2. Let p be w(8). Suppose -4*l + 2*c + 316 = 0, -l - c = -p*c - 77. What is the greatest common factor of l and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3087 divided by -7?\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300)*4 - sqrt(300)) + -3.\nAnswer: -3 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141160 = 10*m + 52958 - 81098. Calculate the greatest common factor of 10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -453.\nAnswer: -5\/453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -2)\/(8\/4) + 2. Calculate the greatest common factor of m and 24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 0.015 (c) 177708\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2612\/27426)\/(20\/(-14))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1303190 is divided by 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 11462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2817*g + 5660. What is h(-2)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -5*o + 5, -3*n - 2*o + 84 = 17. Suppose n = -12*w + 133. Solve -f = 5 - w for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3895 + -3894.0252. What is z rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -m**6\/220 - m**5\/330 + m**4\/66 - 10*m**2 + 15. Let u(q) be the second derivative of a(q). Factor u(o).\nAnswer: -2*o*(o + 1)*(3*o - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventy-seven fifths of a hour?\nAnswer: 924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b**4 + 2191832*b**3 - 2191828*b**2 = 0 for b.\nAnswer: 0, 1, 547957","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 g, and 1 z when four letters picked without replacement from {d: 1, z: 4, u: 9, s: 2, g: 3}?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/125 and 43\/500.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5263865599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -23.69 * -0.18\nAnswer: 4.2642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 265164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 51542, 51543, 51544, 51545, 51546, 51547?\n\"Answer: l + 51541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3868*s**2. Let i(f) = 3*f + 4. Let b(y) = -y - 1. Let p(r) = 4*b(r) + i(r). What is p(k(j))?\nAnswer: 3868*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 510533 and 84079?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*l - 3 + 24*l + 3.\nAnswer: 35*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1697121 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -6224 to the nearest 100.\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/5)\/72*-5.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 84832.74 micrometers in nanometers?\nAnswer: 84832740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 37624 divided by -10?\nAnswer: -18812\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 43*o**2 + 81*o + 30. Suppose 83*d = -12*d + 3895. What is z(d)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*r**3 - 31*r**3 + 39*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-6)*(1 - -25). Let n be x\/6 + (-6)\/4. Which is the second biggest value? (a) 2\/17 (b) n (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76043 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 304 divide 14045712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.038*-56\nAnswer: -2.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 198955399.\nAnswer: 29, 83, 82657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 8:21 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2390 - 123*h + 22*h - 69*h - 2388.\nAnswer: -170*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -426*t = -99 - 647 - 106. What is the nearest to -2\/9 in -1\/5, -4.2, t, -10?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x - 4. Suppose -2*d - 5*s = -3*d + 7, 0 = 2*s. Suppose -4*v - 8 = 3*n, v + 2*n + 2 = -0. Let l(a) = 10*a - 13. Determine d*r(j) + v*l(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**2\/2 - 441*i\/2 + 443 = 0. What is i?\nAnswer: -443, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -3*f**5\/5 + 59*f + 7. Differentiate v(h) wrt h.\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1121 - 1038. What are the prime factors of v?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -150*p**2 - 16295*p + 3125. Let o(f) = -226*f**2 - 24442*f + 4681. Let u(w) = -7*c(w) + 5*o(w). Factor u(j).\nAnswer: -5*(j + 102)*(16*j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -1) + 4\/(-6). Let o be 2*-3*(-1)\/(-6) - -2. Suppose 0 = 5*q, 0*w = -w + 3*q - o. What is the third smallest value in w, z, 1\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -3*w + 1146. Suppose 8*f = w + 67. What is the highest common divisor of 22 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6251091 is divided by 694564?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 11332703 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -w**5\/30 + 13*w**4\/24 - w**3 - 19*w**2 - 38*w. Determine i(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 + 42*t + 271. Let z be c(-8). Let g = 7 + -2. What is the nearest to z in 6\/7, 4\/3, g?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 515287419 and 134?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 0. Let n be (a\/(-2))\/((-5)\/70). Let h(m) = 3*m - 1 + n + 0*m. What is h(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f**2 - 2*f**4 - 100*f**3 + 7 - 4 + 28*f**3 - 2*f - 1 to the form v*f**4 + t*f + a + c*f**2 + m*f**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/1035730409 or 0?\nAnswer: 2\/1035730409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 15191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cq when two letters picked without replacement from {z: 1, c: 1, q: 1, x: 1, j: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1512341.222 to the nearest 10.\nAnswer: 1512340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a millennium in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 97028369069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3\/3 - 8*w**2\/3 + 628*w\/3 - 616\/3.\nAnswer: -4*(w - 11)*(w - 1)*(w + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -43*o + 74. What is l(9)?\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6192, 6564, 6936?\nAnswer: 7308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -59 - -64. Suppose 5*g + f*w = 20, 8 = -5*g + 4*w - 8. Solve g = 3*k - 3 - 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 5*k**2 + 6*k + 1. Let d = 4371 - 4366. What is c(d)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -5*s**2 - 23480*s - 93840 = 0.\nAnswer: -4692, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*t + 8*t - 7*t + (2*t + 2*t - 5*t)*(-1 + 3 - 4).\nAnswer: -18*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 11557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 57 + -9a3d1?\nAnswer: -9a379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/4)\/((-12)\/(-1120)*2). Let i be (-4)\/7 - (-1710)\/n. Let k(t) = t**3 + 24*t**2 - 26*t - 26. Let h be k(i). Is -5 less than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 63009865*c**5 - 130199541*c wrt c?\nAnswer: 1260197300*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 192940307?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 90\/36*(-1344)\/(-20) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 1, 95, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 + 390*l**2 + 7980*l + 14440.\nAnswer: 5*(l + 2)*(l + 38)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1100) + 1)*-1)**2 + (sqrt(99) - -1*sqrt(99)*-6)\/(sqrt(9) + sqrt(99)\/(sqrt(22)\/sqrt(2))).\nAnswer: -45*sqrt(11)\/2 + 1101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4925, 1, 2, -4 in increasing order.\nAnswer: -4, 1, 2, 4925","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/5*r**2 + 0 + 0*r + 16\/5*r**4 + 12\/5*r**3.\nAnswer: 4*r**2*(r + 1)*(4*r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4263)\/(-58)*((-21 - 1) + 25970\/1113).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -6 (b) -2\/9 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 34.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (144\/10)\/3*(-102480)\/(-8784)\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (208 + 12\/(-20)*5)*1. Suppose -24 = -2*o + 58. What is the highest common factor of k and o?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 34893358.\nAnswer: -9\/34893358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 0*t**4 + 2 + 0*t - 1\/4*t**5 + 0*t**3 + 19\/2*t**2 - 1\/24*t**6. Let w(l) be the second derivative of g(l). Factor w(n).\nAnswer: -5*n**2*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ctcptpnpcntxxntc. Give prob of sequence nc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/14 + (-103618)\/1442?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11262, -114, -22, 1, 5 in ascending order.\nAnswer: -114, -22, 1, 5, 11262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m. Let f(y) be the second derivative of 1\/4*y**4 + 0*y**2 + 0 - 3*y + 0*y**3. Calculate f(w(o)).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -150 + 150. Suppose -3*t - 31583 = -5*j, -5*t + p*t = 3*j - 18977. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 0.4 (c) -3 (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -53641 - -76217304.7.\nAnswer: 76163663.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + h - 3)*(-2*h**2 + 3 - 3) + (81*h**2 - 114 + 114)*(38 + 6*h - 42 + 3*h).\nAnswer: 727*h**3 - 324*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 5, 2\/19, -0.2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 9\/4)*(168\/(-156) - 454\/13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vr when two letters picked without replacement from cvhhrr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 405354, 1621420, 3648198, 6485688, 10133890, 14592804, 19862430?\nAnswer: 25942768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 660935 - -4?\nAnswer: 660939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1752, 3351, 4946, 6537?\n\"Answer: -2*x**2 + 1605*x + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2 - u**3 - 2*u**2 + 2 - u. Let p be n(-2). Let l be (-10)\/6*(2 + -5). Solve p*s - 16 = -2*s, -5*d = l*s - 40 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, 5\/4, 3670, -3, 30?\nAnswer: 3670","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 101945*a**3 + 263*a + 40 wrt a.\nAnswer: 611670*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1300)\/24)\/(-13) + 1\/(-6). What is the third derivative of h**2 + 32*h**k - 7*h**2 + 6*h**4 + 0*h**4 wrt h?\nAnswer: 912*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20202201000 (base 3) in base 2?\nAnswer: -100000100001000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - x**2 - 637*x + 1328*x - 695*x - 3. Suppose -20 = j - 5*j. Let t(o) = -2*o**2 - 5*o - 4. Calculate j*p(s) - 4*t(s).\nAnswer: -2*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2657718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 55 - 5?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*g*p**3 + 19*g*p + 10*p**3 - 5 wrt g.\nAnswer: -7*p**3 + 19*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 57\/410 (b) -1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87333845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 0*b - 51\/5*b**5 - 64*b**3 + 73 + 0*b**2 - 60*b**4 - 1\/2*b**6. Solve x(s) = 0 for s.\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 427 and 35301.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -34 times 5883\nAnswer: -200022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p. Let g(l) = 32*l**2 + l - 1. What is -2*g(t) - 2*v(t)?\nAnswer: -64*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -94*x**5 - x**3 + 2*x**2 + 2422*x wrt x.\nAnswer: -1880*x**3 - 6*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -165*r + 80*r + 136 + 84*r + 2421 to a*r + v and give v.\nAnswer: 2557","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(3072) + sqrt(3072)*2))**2*4 + (-2 + -2*sqrt(3072))*-6.\nAnswer: 384*sqrt(3) + 110604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8203000 rounded to the nearest 100000?\nAnswer: -8200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 283431*d + 283419*d - 566857*d.\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 4.5.\nAnswer: -4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1651127 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 7 (b) 1 (c) -1\/2 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.335671 rounded to 4 decimal places?\nAnswer: 0.3357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2*3)\/2*(78\/9 - 13). Sort z, 2\/5, 0, 3, -2\/9 in descending order.\nAnswer: 3, 2\/5, 0, -2\/9, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16775 (base 10) to base 12\nAnswer: -985b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - j**4 + 3*j**4)*(0*j - j - 3 + 5).\nAnswer: -2*j**5 + 4*j**4 - 2*j + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 60 = -15. Let h = v - -24. Suppose 2*z = 3*u + 1, -4*u = 4*z - h*z + 13. Solve 0 = j - u*j - 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115367 = 123*l - 45148. What are the prime factors of l?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*n + 322 = 33*n + 4*r, 0 = -n + 8*r + 357 - 1003 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (11 - 3) + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.5192658 rounded to 0 dps?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 v when two letters picked without replacement from vxfvlvvvlvvvlv?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 5:22 PM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3011057717 to the nearest integer?\nAnswer: 54873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ajunnaajqnqaanjjaaaa. What is prob of picking 2 n?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3195 and 360?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence du when two letters picked without replacement from {d: 12, h: 2, g: 2, v: 1, f: 2, u: 1}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 46114.1 to the nearest 1000.\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*w**5\/2 + 321*w**4\/4 - 45*w**3 - 1071*w**2\/4 - 147*w + 9 = 0. Calculate w.\nAnswer: -6, -1, 1\/18, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 at least as big as 673\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 8:23 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3448 is divided by 1004.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1602 - -1624. Solve 62 = 10*y + a for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 10 + -15 + -2 + -1 + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 0 - 8) + 6 + 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/13 in -0.5, -1\/3, -4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 67178 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: What is 1992 + 73973?\nAnswer: 75965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 60343860 - -4.\nAnswer: 60343864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*b**4 - b**2*p**2 + b*p**2 + 39*b wrt b.\nAnswer: -72*b**2 - 2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, f: 3, y: 8}. Give prob of sequence yyy.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 42\/693*(6\/(-8) - (-396)\/(-48)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 540720 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4*r = 526, 3*y + 110 - 426 = -2*r. Let k = 528\/5 - y. Which is the nearest to -2? (a) 0.1 (b) k (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12020021 (base 3) to base 16\nAnswer: ee6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 AM and 2:10 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 36*j + 15 + 71. Is j smaller than -145\/54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 4:08 PM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2671 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l + 43*l - 31*l + 86 - 428 = 0 for l.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/12345 in 1, -0.36, 4\/7, -4?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1172*b + 16*b**3 - 287*b + 64*b**3.\nAnswer: 80*b**3 + 885*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5006778 times 4\nAnswer: -20027112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 10. Let x be r\/3 - 40\/42. Which is the closest to x? (a) 0.4 (b) 4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -5*x**2 + 6*x + 13. Let b(s) = 14*s**2 - 17*s - 38. What is -11*a(v) - 4*b(v)?\nAnswer: -v**2 + 2*v + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 47038 to the power of 1\/2, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*r + 0*r - r)*(-5*r + r + 6*r) + (-2*r - 2 + 2)*(r - 2*r + 2*r) - 3 + 6*r**2 + 3.\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9, 23, 47, 81, 125, 179, 243?\n\"Answer: 5*j**2 - j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8 + 4\/26 + 66\/78. Solve -4*h + h = g for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 338*a**4 - 28825*a**2*i**3 + 128747*a*i**3 + 45*a*i**2 + a + i**2 wrt a.\nAnswer: 4056*a**2 - 57650*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b. Let v(m) = -1. What is r(z) + 5*v(z)?\nAnswer: z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-8 - 2) + -3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -274 - -274. Solve -4*u - 3*t = -7*u, k = 3*u + t + 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14853*q + 3403*q**2 - 4902*q**2 + 5539*q**2 + 6646*q**2 wrt q?\nAnswer: 21372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0114 * -0.2.\nAnswer: 0.00228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1173670128.\nAnswer: 2, 3, 19, 23, 6217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 956 = -3*y, 0 = 5*w - 3*y - 270 - 674. Which is the second biggest value? (a) 0.4 (b) -0.5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/((-190)\/20)*18\/(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is ad + -d?\nAnswer: a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 102 + -72. Let m = -30.0000043 + c. Round m to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/150)\/(35\/350 - 30\/316).\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.69 - 24765212284.\nAnswer: -24765212283.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + 2*sqrt(117)*4)*1)\/((sqrt(729)*-2 + sqrt(729))*2).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-4)*2*2. Let i = 1027 + -1987\/2. What is the common denominator of 1 + (-158)\/(-16) - v and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -33 - 4099?\nAnswer: -4110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1123 (base 9) to base 10\nAnswer: 831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1134 + -1133.961933. Let j = 1.81 + -1.772. Let b = p - j. Round b to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77.47 rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 28627 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 294152931 to the power of 1\/2, to the nearest integer?\nAnswer: 17151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -3*z - 86*n + 91*n, 2*z + 4*n = 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kyakopipipkiipi. Give prob of sequence aky.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 106 and 11183?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 162193823 to the nearest integer?\nAnswer: 12736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -2\/35, -5\/3, 7.5, 3?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/232704 and -89\/254520.\nAnswer: 8144640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 7*f**2 - 8*f - 8. What is y(8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4707 - 2339. Is 32 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*q = -2 + 15, -3*s - 3*q = -15. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 0*p = 324. Suppose c + c = -w + 44, -2*w + p = -3*c. Does 14 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 9 = -2*d, 14 = -d + 4*d + 2*s. Suppose -4*p + 52 = z, -p + 2*z + 0*z = -d. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q - 1. Suppose -2*d - 34 = -5*v, 5*v + 0*d = 4*d + 38. Give k(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * 215.\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of 5*d**4\/4 - 9*d**2\/2 + 9*d. Differentiate n(l) with respect to l.\nAnswer: 30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 10*s**2 + 11*s + 8. What is the remainder when h(-7) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2984 = -12*w + 4*w. List the prime factors of w.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4081110409 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72*-5.\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2837690?\nAnswer: 2, 5, 283769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**5 + 132*z**4 - 1076*z**3 - 388*z**2 + 3000*z + 2176 = 0. Calculate z.\nAnswer: -1, 2, 16, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 692a9 - -235?\nAnswer: 69533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**2. Let v(y) = 2*y - 4. Let i(q) = -232*q + 352. Let x(r) = -2*i(r) - 176*v(r). Calculate a(x(u)).\nAnswer: -25088*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.5 - 1.5. Let b = -5 + w. What is the closest to 0.1 in 2\/13, b, 2\/3?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**2 + r. Let d(f) = -9 + f + 9. Let p be d(2). Calculate n(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of -5*w + 7 - 4*w**2 - w + 4*w**2 - w**5. What is the first derivative of j(f) wrt f?\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 3*q - 2. Let u be w(4). Suppose 2*d - 6 = -2*z, 2*d - u*z - 3 + 5 = 0. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 4 = -t. Let v be (6 + -2)\/(t\/11). Let a = 31 + v. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 331643 and 1841.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 173, -122, -1035, -2914, -6107, -10962?\n\"Answer: -58*a**3 + 39*a**2 - 6*a + 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o + 1 - 1)*(-2*o**2 + 261 + 456 - 130) to the form f*o**3 + t + i*o + a*o**2 and give i.\nAnswer: 1174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 133*v**2 - 249*v**2 + 116*v**2 - 688*v**4 + 4*v**4 - 5*v**4 - v**4 + (-2*v + 2*v - 2*v)*(2*v**3 - 3*v**3 + 3*v**3) + 0*v**4 + v**4 - 2*v**4.\nAnswer: -695*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.5 in 12.2, -0.5, -1, 1\/5, 0.05?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 7*d + 5. Let i be n(-7). Let b(z) = -i - 2 - 5*z + z - 2. What is the units digit of b(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 68, 71 + 11 = 494*f + 7*u - 2*u - 0*u - 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 563766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 368167109 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 262626 or -5?\nAnswer: 262626","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1758637805 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6 + -5)\/(16 - 17). Put 1, p, -5 in decreasing order.\nAnswer: 1, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -12*h - 62. Let d = h - -11. Suppose 0 = i + 3*j - 126, i + 2*j + 574 = d*i. Does 29 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q = 2*d + 6*q + 1, -2*d + 3*q = -1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5056 and 101357.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 12, q: 7}. What is prob of picking 4 d?\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18605 is divided by 62?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 110561?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1325376131 to the power of 1\/2, to the nearest integer?\nAnswer: 36406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one fifth of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*g - 295 = -9, -3*g = 2*i + 121. Let p = -38 - i. Is p a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 5) to base 14\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 2*u + 26, 0 = 4*i - 3*u + 54 - 18. What is the remainder when -3 - i - (-148)\/2 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -7585*w**2 - 13*w + 16490. Let g(y) = -3793*y**2 - 6*y + 8244. Let k(o) = 13*g(o) - 6*r(o). Find the first derivative of k(m) wrt m.\nAnswer: -7598*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 6015?\nAnswer: -1\/2005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 8 = -16*g + 15*g, -4*g = 4*c + 16 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.397 + 0.297. Let v = -0.3 - -0.2. Which is the closest to j? (a) v (b) -4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11\/(1001\/(-8788))*(-70)\/(-12). Let h = 59222\/105 + z. Find the common denominator of h and 129\/140.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/5))**(-27)\/(((w*w\/(w\/((w*((w**(1\/9)\/w)\/w)\/w)\/w)))\/w)\/w)**(5\/7) assuming w is positive.\nAnswer: w**(-361\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**4 - 708*u**3 - 13176*u**2 - 79920*u - 160704 = 0.\nAnswer: -6, 372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/9, -0.02, -0.3, 18, 0.5?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*m**(-1))\/m)\/m)**(-2\/91)*m*m**(2\/3)*m\/m**(-3\/2) assuming m is positive.\nAnswer: m**(2287\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 2*p - 4. Let f(h) = 3*h**2 + 5*h - 11. Let q(j) = 4*f(j) - 11*z(j). Find the second derivative of q(n) wrt n.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 8:16 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + -1. Let s = h - 1. Let r(f) = -2*f - 1. Let p(j) = 2*j. Give s*p(y) - 4*r(y).\nAnswer: 2*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 18942\/(-6776) + (12\/9)\/(66\/27)\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144640322.\nAnswer: 2, 587, 123203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4442?\nAnswer: 2, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -169, -6\/5, -1, -2, 4 in increasing order.\nAnswer: -169, -2, -6\/5, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*q + 35875 = -542*q - 337*q - 210*q for q.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**3 + 7*s - 1. Let y(f) = -4*f**3 + 13*f - 2. What is -6*y(k) + 11*z(k)?\nAnswer: 2*k**3 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 674475 is divided by 39659?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -12, -4 in descending order.\nAnswer: -0.3, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1169629 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: Collect the terms in 45*q**3 + 55*q**3 - 103*q**3.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffff when four letters picked without replacement from {f: 5, b: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 397059748?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.001 + 0.229. Let d = l - -2.77. Suppose 8*k - 3*k + 2*v = -8, -2*k = 3*v + 1. What is the third biggest value in -3, k, d?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/211 and 34\/15.\nAnswer: 3165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2522205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2132031 - 10133?\nAnswer: 2121232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81563?\nAnswer: 81563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1827301868?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.6 - -0.6. Let d = 5.12 + h. Let u = d + 0.14. What is u rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + b + 12 = 0, -44*b = -45*b + 4. Suppose 5 = 2*c - 11. Let d = c - 11. Is o smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 20 = 2. Let q be 6\/10*10\/w. Solve -4*i = -3*s - 8, -4*s = 3*i - q - 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 0*l**2 + 2*l**3 + 1\/2*l**6 + 4 + 0*l**4 + 0*l**5 + 0*l. What is the third derivative of c(r) wrt r?\nAnswer: 180*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c - 49 = -91. Suppose -l = s - c, -s - 14 = -2*l - 2*l. Suppose -13 = -5*y + s*f + 2, 0 = 2*y - 3*f + 5. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l - 3*a + 29, -10 = -l - 4*a + 2*a for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 20\/35)\/(40\/16 - -2)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*b**2 - 13 - 6888*b**2 - 12 + 25 to the form a*b + d*b**2 + x and give d.\nAnswer: -6865","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1 and 21971.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -35*((-24)\/(-15) - 2). Let x = 14 - g. Suppose 7*k - 2*k - 85 = x. What are the prime factors of k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -141000, -4, -1\/11, 4, 7 in ascending order.\nAnswer: -141000, -4, -1\/11, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*d + 45 = -1, 0 = 5*l - 3*d - 108. Suppose 4*j + 1 - l = 0. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*h + 12122 = -468*h - 155*h for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27.85 + -19.7. Let g = -531 + 523. Let d = g + u. Is 1 equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.19 * 1\nAnswer: -0.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*f - 200 + 116 = 0. Let a be 1\/(f\/69 + 248\/736). Solve -a*v + 9*v = -15 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 1. Let o be ((-14)\/3)\/((-24)\/108). Suppose -6*x - x + o = 0. Let k(l) = 1. Determine x*k(w) - 3*q(w).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 80865 to the power of 1\/2, to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(36)\/(sqrt(15)\/sqrt(5))) + (((sqrt(7) + -2)**2 - sqrt(7)) + -2 - (-4 + 1 + sqrt(7))).\nAnswer: -5*sqrt(7) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*i + 9*i + 4*i)*(-2*i - i**2 + 2*i) + (-6*i**3 + 3*i**3 + 2*i**3)*(-2 - 12 + 2).\nAnswer: -9*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 3. Let g = -0.26 - -3.46. Let f = g - -0.8. Which is the second smallest value? (a) f (b) j (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 5*z = 147, f + 7*f + 5*z - 245 + 72 = -f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - i + 5*i)*(47 - 47 - 32*i).\nAnswer: -32*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of 5*j**2 - 1553. Let m(t) = 13*t**2 + 4*t**2 - 4*t**2. Determine m(b(l)).\nAnswer: 1300*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -m + 5. Suppose 0 = s + m - 7. Solve -3*b + 6 = 3*z, -b - z + s*z - 16 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, v: 1, m: 4, i: 3, a: 3, b: 2}. Give prob of sequence viim.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 19*s**2 - 5*s - 4. Calculate x(-2).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 + 3.2. Suppose 2*g - 5*c + 59 = 0, 2*c + 342 - 362 = -g. Sort g, b, 1\/2 in ascending order.\nAnswer: g, 1\/2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**5\/5 - 2*v**4 + 6*v**3\/5 + 18*v**2\/5.\nAnswer: 2*v**2*(v - 3)**2*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i + 2*i - 2*i + (-i - 4*i + 4*i)*(-2 + 2 - 4) + 27*i - 16*i - 22*i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a gram in milligrams?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.491057 to three dps.\nAnswer: -0.491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 3*f**2 + 4. Let y be n(-3). Let k be 2\/(2\/(-3)*-3). Solve -k = p - y, -2*p = -3*w + 9 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5*q**2 - 2*q - 1. Let p(s) = -11*s**2 - 3*s - 2. Suppose -64*j = 124*j - 564. What is j*p(t) - 5*m(t)?\nAnswer: -8*t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from rrrrrrrrrrkrrrrrrrrr.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.02 - 0.058. Let j = t + -0.702. Let m = j + 0.28. Which is the third smallest value? (a) 1\/2 (b) -1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 4)*(-28*i - i - 4*i).\nAnswer: -66*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -24*w - 42. What are the prime factors of r(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14498)\/286 + 29 + 22?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011010100110101100001101 - 10100?\nAnswer: -1011010100110101100100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 - 9*b + 22. Let s be n(5). Let g(c) = 4*c - 1. Suppose -3*a - j + 13 = 0, -3*j = -32*a + 31*a + 21. Let d(v) = -v. Calculate a*d(t) + s*g(t).\nAnswer: 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8, -54, -132, -242, -384, -558?\n\"Answer: -16*q**2 + 2*q + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2802742372 - 2802740513.000759. Let p = 1859 - y. What is p rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6962.992m in kilometers?\nAnswer: 6.962992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/21 greater than 332175?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 739537 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 68818794 divided by -3?\nAnswer: -22939598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004480615 to six decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3405 is divided by 161.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zirv when four letters picked without replacement from {r: 6, q: 1, j: 3, z: 3, v: 4, i: 1}?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 greater than or equal to 41\/18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*c - 13 + 89 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/13 (b) 105 (c) -0.4 (d) 1.8 (e) 3 (f) -6\/7 (g) 1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 9:43 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3215728 at least 3215728?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19f (base 16) to base 9.\nAnswer: -511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - 3. Suppose -n*i = -4*w - 1 + 149, 2*w - 5*i - 77 = 0. Calculate the highest common divisor of w and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-7 + 7 + 8 + 0 - 5).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -19, 0, -2, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11210210121 - 101220?\nAnswer: 11210101201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 3:25 AM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i - 22. Let x be q(-27). Find the second derivative of -20*n - 23*n - 26*n**5 - 1 - 38*n**5 + 6*n**x wrt n.\nAnswer: -1160*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*q - 2*q - 5*q + (-4*q + 5 - 5)*(0 - 2 + 4))*(3 + 2*q + 0*q - 5)*(-q - 3 + 3) as b + d*q**2 + g*q + w*q**3 and give d.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -8*l + 11*l, 4*k = -5*l - 27 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 544 = -10*f. What is the remainder when f is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 180 (b) 3\/8 (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hscukscsrcrc. What is prob of sequence hsk?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -46 + 82. Suppose 5*s = -s - y. Let h(w) = -6*w + 1. What is the remainder when h(s) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332665.\nAnswer: 5, 66533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 v when three letters picked without replacement from nvnvv?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, m: 2, z: 3, g: 1, r: 9}. What is prob of sequence zw?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-3)\/q*q))\/(q*q*(q\/q**(-5))\/q*q))\/(q**(-2\/7)*q**(-3\/2)) assuming q is positive.\nAnswer: q**(-31\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1037)\/122*1235\/(-4845)\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qr when two letters picked without replacement from qsrpps?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 j when two letters picked without replacement from jyhhyhychhhcy?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 33\/30195*61*(-12)\/14\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2b942b (base 13) to base 11\nAnswer: 676392","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**3 + 0*c**3 - 2*c**3 + 8*c**3 - 7*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 + 3)*(-1 - 0). Suppose -2*s = -s - t. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -34, -14, 0, -9 in descending order.\nAnswer: 0, -3, -9, -14, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 711091053?\nAnswer: 3, 79010117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/18)\/(3\/27). Let h be k*15\/20*2. Suppose 720000 = -h*w - f, 2*w = -f - 110694 - 369306. What is w rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 + 6*c + 13. Let q(n) = -3*n**2 + 30*n - 22. Let r(t) = t**2 - 7*t + 2. Let x(u) = q(u) + 5*r(u). What is -7*x(k) - 6*y(k)?\nAnswer: -2*k**2 - k + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74191864?\nAnswer: 2, 9273983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.59, -0.1, 3, 13, -0.4, -4, -16?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/j**(-2\/17))**(-3\/19) assuming j is positive.\nAnswer: j**(-108\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.01772 * -1420.\nAnswer: -1445.1624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1720 or 1753?\nAnswer: 1720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -851*s + 24642. Determine r(29).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - 7*d**2 - 2*d + 14. Let g be q(7). Suppose g = -6*a - 0*a + 1302. Is 3 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -f**5\/12 - f**4\/4 - f**3\/2 + 23*f**2. Let i(t) = -6*t**2 - 7*t - 4. Suppose 0 = -5*c + 7 + 13. Calculate c*i(h) - 5*u(h).\nAnswer: h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-55)\/(-88)*(-1)\/(-5). Let j(n) be the third derivative of 0 - 3*n**2 + t*n**4 + 0*n + 0*n**3. Let i(w) = -w. What is j(i(g))?\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10\/16889939 - -10151093279\/405257196366. Let w = d + -1\/558. Is 0 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-8\/3)*p*p\/((p*p**(-4))\/p))**50)**(31\/5) assuming p is positive.\nAnswer: p**(3100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 8. Let g be i(9). Let r(z) = 6*z + 46. Let p be r(-10). Let k = g - p. What is the remainder when 36 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (-6)\/(-4)*(-40)\/6. Suppose 2 - w = -3*z. What is the greatest common divisor of 93 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 - 8*k**2 + 4*k - 16. Give l(-8).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 18*w**2 + 84*w - 18. Give x(-2).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 2*m + 1. Let g(u) = 2*u**2 + 4*u - 3. Give 3*g(j) + 7*t(j).\nAnswer: -j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -8*v. Let x(n) = -88*n**2. Give x(c(z)).\nAnswer: -5632*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + v + 10. Let q(w) = w**3 + 6*w**2 + 2*w - 1. Let j be q(-3). Suppose 0*z - 4*z = -20. Suppose -u = t - 2 + 6, z*t = 2*u - j. Give i(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -3*z**2\/2 - 1812. Let t(i) = 0 - 16*i + 0. What is -28*c(r) + 5*t(r)?\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-6)*-3*(-12)\/36\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3584632 * 5\nAnswer: 17923160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 63*t**2 + 691*t + 1504. Give g(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/14800 and -89\/53872.\nAnswer: 1346800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 13*t - 167. Let k be z(13). Find the second derivative of -4*y**2 - 111*y**2 + 6747*y - 6771*y + k wrt y.\nAnswer: -230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -42 in 0.9, 0.4, -83?\nAnswer: -83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 448 - 251. What are the prime factors of q?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -2, -2\/3, 3, 1\/18 in ascending order.\nAnswer: -2, -2\/3, 1\/18, 2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**2 - 5 - v + v - 4*v**2 + 9*v.\nAnswer: -6*v**2 + 9*v - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1070746, 1070753, 1070760, 1070767, 1070774?\n\"Answer: 7*o + 1070739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35200 = -6*l + 2*l. Suppose -5*b = -0 - 20. Suppose -b*a - l = -3*a. What is a rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26261546 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -185597*l**5 - l**2 + 936883*l?\nAnswer: -3711940*l**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + f - 16. Let u(h) = -21*h**2 + 3*h + 0*h + 8 + 20*h**2. Let p be u(4). Solve -a = 2*q - 3*q - 2, -a = -p*q - f for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -677 and -1603.\nAnswer: -2280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1091705 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**5 - 1458*d**4 - 528517*d**3 + 2131596*d**2 - 2137444*d.\nAnswer: -d*(d - 2)**2*(d + 731)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -32. What are the prime factors of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -26693.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 75, 74, 71, 66, 59?\n\"Answer: -z**2 + 2*z + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2426\/21861 - 1\/7287. What is the closest to z in 0.3, 2\/23, -3\/5?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00166995984 rounded to 5 dps?\nAnswer: 0.00167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**3 + 3*p**3 + 0*p**3)*(-5 + 5 - 12*p) + (3*p**2 - 2*p**2 - 3*p**2)*(0*p**2 - 2*p**2 + p**2).\nAnswer: -22*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**5 - 56*s**4 + 382*s**3 + 896*s**2 - 11304*s + 10080 = 0.\nAnswer: -5, 1, 6, 12, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**5\/4 - 587*r**4\/4 - 591*r**3\/4 + 1759*r**2\/4 + 1469*r\/2 + 294.\nAnswer: (r - 588)*(r - 2)*(r + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-36*(-37)\/(-444))\/(1\/2 - -1). Which is the second smallest value? (a) u (b) 6 (c) -0.05 (d) -2\/7 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 - 8*z**2 + 2*z - 14. Let y be t(8). Calculate the highest common divisor of 18 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**2\/4 + 1611*a\/2 - 3221\/4 = 0. Calculate a.\nAnswer: 1, 3221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**9\/l**(4\/7))\/(l\/(l**0*l)*l*l**(2\/9)) assuming l is positive.\nAnswer: l**(454\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 444530419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o - 18617 - 12673. Suppose 9*a - 16*a + o = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(((h\/h**(2\/11))\/h)\/h))\/h*h**6)\/(h\/h**(5\/8)*h*h*h\/(h*(h*h**13)\/h)))**40 assuming h is positive.\nAnswer: h**(7835\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1 - (-46 - -1)*1 is divided by 8\/5 + (81\/45)\/(10\/80).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -9. Let v = 18 + a. Calculate the greatest common factor of v and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/6 - 46\/(-3). Suppose -z - 3*z + 3*o = -20, 0 = 4*o + q. Solve 3*m + k + 16 = 0, 5*m + z*k = k - 24 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 1 = -s, -3*s - 3*h = 169 - 166 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2*u + 0 - 3)*(-63 + 259 - 92) to h + w*u and give w.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -4*x - 24 + 27 + 34, -4*x + 34 = 4*q - 6*q for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q - 402 = 14*q. Is q a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24957 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-6468)\/(-5544)*((-24)\/64)\/((-14)\/24)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*v + 28 + 12. Solve -5*d - 5*r - v = 0, 8*r - 3*r = 5*d - 15 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, -7, -8, 1, 894, 71 in decreasing order.\nAnswer: 894, 71, 4, 1, -2, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 3*g**2 + 2*g + 2. Calculate the remainder when (5 + -3)*4*(-1)\/(-4) + 6 is divided by v(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1039.0332946 rounded to two dps?\nAnswer: 1039.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 0 - (1 - 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -535\/6*o - 179\/3 - 88\/3*o**2 + 1\/6*o**3.\nAnswer: (o - 179)*(o + 1)*(o + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h\/h**(2\/7)*h))*h)\/((h\/(h*h\/(h\/(h**(-1\/8)*h))*h*h))\/h))**(1\/41) assuming h is positive.\nAnswer: h**(9\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -0.02 (b) -0.1 (c) -0.2 (d) 3\/4 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 159*j - 3 - 149*j)*(5 + 1 - 1)*(-2*j + 2*j - 2*j) as z + x*j + v*j**2 and give v.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4*((5 - 84\/(-8)) + 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 15*z - 91. Let w be p(6). Sort w, -3, 5, 0 in descending order.\nAnswer: 5, 0, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k - k - 2 - 2*k. Let x be u(-2). Suppose -x*m = 9498480 - 898480. Round m to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 490569 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppppppppzzpzpzppp. What is prob of picking 1 z and 3 p?\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*v = 3*r - 116, -5*r - v + 156 = 0. Let x be 19\/(-95) + (-372)\/(-10). Let y = x - r. Solve y*p - 5 - 5 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = 3*j - 5, 3*j - 17 = -5*i. Suppose 5*l + 3*f - 44 = -119, 2*l + 16 = -i*f. What are the prime factors of 12\/l - 44\/(-3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 9*g**2 + 17*g - 15. What is b(-11)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**2 + 10*b - 10*b + (2*b**2 + 2 - 2)*(3 - 3 - 2) + 0*b**2 - b**2 + 0*b**2 - 4 - 3*b**2 + 3 + 0*b**2 in the form f + n*b + x*b**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -4.763?\nAnswer: 6.763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -55, -75, -95, -115?\n\"Answer: -20*k - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -62662 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12530 divided by 14.\nAnswer: 895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.8665 - 35.9155. What is v rounded to one decimal place?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04 and 70.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of u + 1\/10*u**5 - 5 + 1\/4*u**2 - 1\/8*u**4 - 1\/2*u**3. Let y(l) = 0. Calculate l.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 5. Let z be (2 - 1\/r)*4. Suppose 5*c - 12 = z*c. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from lbllllll.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2014.3 + -2014. Let l = -4 - -3.9. Let y = l - 0.3. Which is the biggest value? (a) -4 (b) 1 (c) y (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 5*f + 8. What is the remainder when 28 is divided by (79\/(-7))\/(-1) + f\/21?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2671, 2695, 2735, 2791, 2863, 2951?\n\"Answer: 8*u**2 + 2663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - q + 4)*(-3*q - 1 + q - 1) to r + u*q**2 + v*q and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -20 times -13036\nAnswer: 260720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13557252*b*d**4 - 11078429*b*d + 2*d**5 - 3*d wrt d?\nAnswer: 162687024*b*d**2 + 40*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4771903159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 p when two letters picked without replacement from llflsflphlllfsfflf?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3)*i)**(1\/8))**(-13) assuming i is positive.\nAnswer: i**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -6*x. Suppose -2*h - h + 261 = x. Suppose -2*u = u - 15, -5*u + h = 2*c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4*(3\/(-10))\/((-6)\/5). Let z(v) = v**2 - 9*v + 5. Let g be z(8). Sort g, 0, n.\nAnswer: g, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002835 rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2978*h - 17917. Determine q(-6).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -5*-4*166\/20 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n**2 + 12*n - 63. Calculate q(-7).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m - 5*x = 6*m - 31, x = -4*m - 13 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45031305444 - 45031305444 - 164*w**2.\nAnswer: -164*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 694?\nAnswer: 2, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - -2*2\/4. Let z = n - -4. Let a = z + -5. Solve -k + 4*v + 12 = a, 2*v = -9*k + 4*k + 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*h*q**3*z**2 - 1467*h*q*z**2 + 2950*q**3 - 3*z**2 wrt h?\nAnswer: -3*q**3*z**2 - 1467*q*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2685913424 to the power of 1\/2, to the nearest integer?\nAnswer: 51826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83756 = -1443*r - 25912 for r.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 0.0923?\nAnswer: 0.2077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 0*w - 2*w)*(2 + 0 + 1)*(3 - 4 + 3 + (-2 + 2 + 2)*(0 - 4 + 3) + (-4 - 1 + 2)*(-1 - 1 - 1)).\nAnswer: 27*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 55*y - 283. What is i(58)?\nAnswer: -457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19320 - -19759. What is the remainder when o is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 97 + (-7 - (147 - 137 - (3 + 12))).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -37, -17, 37, 137?\nAnswer: 295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 468172869*c**2 - 3*c + 7116593.\nAnswer: 936345738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ycckyykyycyy. What is prob of sequence kyc?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 + -81 + -253 + 159?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 71691 from -48981.\nAnswer: -120672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5740933421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/((-7)\/5 + 8\/20). Suppose 5*y = -2*k - i + 2, k - 1 = 5*y. Solve y = o + o - 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(133) + sqrt(133) + (sqrt(133) + (1*sqrt(133) - sqrt(133) - sqrt(133)))*6)\/sqrt(7)*5)**2.\nAnswer: 1895","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from oolllloololl.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 6*c**2 + 54*c - 9. Let w be x(-11). Solve w*m = -0*g - g - 10, m + 5 = -3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.0092, 3\/4, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w + 5. Let t be x(18). Let d = t - -74. Which is greater: d or -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 124*g - 136 = 127*g, -q + 18*g + 724 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9916 a factor of 396768908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -9 - ((-10 + 10 - -3) + -16)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 41382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120043014 (base 5) to base 3.\nAnswer: -1000221010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**2 - 6*n**2 - 9*n**2 + 4 - 4 - n**2 + (n + n - 3*n)*(2*n + 0*n - 4*n) to j*n**2 + f + y*n and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 45236 (base 7) to base 11\nAnswer: 8664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of y**9\/72 - 11*y**5\/60 + 6*y**2. What is the third derivative of i(c) wrt c?\nAnswer: 840*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*z**6 - 18221*z**5 - 342153*z**2 - 3.\nAnswer: -3600*z**3 - 1093260*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 4\/813?\nAnswer: 4\/813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cd when two letters picked without replacement from dwcgcdc.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-15) + 39\/60. Suppose 0 = -11*j + 30 + 3. Factor 5\/4*x - 1\/2 - 3\/4*x**2 + 1\/4*x**4 - u*x**j.\nAnswer: (x - 1)**3*(x + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12057.\nAnswer: 3, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161580 is divided by 85.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010111111101010 (base 2) to base 7.\nAnswer: 442554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/5 in 1, 1\/7, 6\/7, 50, -1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2 - 5*u - 7. Suppose 0*c - 30 = 5*c. Let b = 58 + -56. Let x(k) = -20 - k + 6*k**b + 2*k - 10*k - 5*k. Give c*x(y) + 17*w(y).\nAnswer: -2*y**2 - y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/2)\/(-9)*(43 - 5). Let f(t) = -t + 20. Let d be f(n). Let o(j) = j**2 + 3*j - 7. Let l be o(-5). Solve -l*i + 16 = d for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + c + 50 = 0, -18*m + 4*c = -21*m + 64. Let r(q) = -q**2 + 21*q + 76. Let s be r(m). Solve -s*k + 3*o + 2 = 0, 0 = k + 3*o - 8 - 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 564.67 + -568. Let x = t - -8.33. Put -0.3, 6, x in descending order.\nAnswer: 6, x, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**2 + 261*v - 518 = 0. Calculate v.\nAnswer: 2, 259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.8 + 5. Let s = 1.1 + y. What is the second smallest value in -0.1, 0.2, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 787916*j**4 - 90*j**2 - 21*j + 1 wrt j?\nAnswer: 18909984*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-11 + 7 - -5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333167.\nAnswer: 317, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 43043076 and 1134.\nAnswer: 301301532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/38 and 12\/18*246\/16.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 less than 18017849?\nAnswer: 18017862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9889 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*i + 2. Suppose -i*r + 9 - 3 = 0. Suppose 4*l + r*h = 15, -5*l - h = 4*h - 20. Solve -17 = 4*s - 3*p, -s - l*p = -0*s + 8 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - 14376602009.\nAnswer: -14376602009.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3205681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 28. Let w(h) = -9*h**2 - 4*h - 3. Let u be w(-3). Let a be 4\/t - (-16)\/u. Is 2 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-198)\/(-8))\/(792\/(-32) + 1). Which is smaller: -2 or x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y\/(((y\/y**(-1\/4))\/y)\/y))\/y)\/y**(-2\/19))**(-47))**(4\/39) assuming y is positive.\nAnswer: y**(-2209\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 109, 103, 97?\n\"Answer: -6*f + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1010202222112 (base 3) to base 11.\nAnswer: -384155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - h)*(h**2 + 2*h**3 - h**2) - 3*h**2 + 3*h**2 - 4*h**4 + 0*h**3 + 2*h**4 + 0*h**3 + 54 - 54 + 79*h**4.\nAnswer: 75*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 345440 plus 374.1?\nAnswer: 345814.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 54*s**3 - 3*s - 3. What is c(-1)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o = -7*o + 39226. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*k**2 + 12*k**3 - 19*k**2)*(3 + 1 - 2)*(0 + 0 - 18*k)*(-1 - k + 1).\nAnswer: 432*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1410 and 238948?\nAnswer: 3584220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14b09 (base 13) to base 10.\nAnswer: -39217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 253910254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.13 and 6.38052?\nAnswer: 6.51052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*u**2 + 18*u + 1072 with respect to u.\nAnswer: 4*u + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14145963?\nAnswer: 3, 13, 362717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 1\/3, 0.5, 11\/4 in ascending order.\nAnswer: 0.2, 1\/3, 0.5, 11\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*a - 14 + 11 + 5 + 176*a + a + 0*a - 3*a + (-2*a - a + a)*(-3 + 2 + 3).\nAnswer: 142*a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - 41*c + 37 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -2. Let b = 0 - 0. Let q be ((-6)\/(-2))\/(1 - b). Solve -7*l + o = -q*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three eighths of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-6))\/((-1)\/(-3)). Suppose -y - 7 = 6*y. Is g greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**3\/4 + 69199*j**2\/2 - 1799850*j.\nAnswer: j*(j - 52)*(j + 138450)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from teet. What is prob of picking 2 t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -8*w**5\/11 - 235458*w**4\/11 + 412080*w**3\/11 + 117736*w**2\/11 = 0.\nAnswer: -29434, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 73415175 to the power of 1\/3, to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/2*(1 - 0). Let c(p) be the second derivative of -p**5\/60 + p**4\/24 - p**3\/3 + p. Let s(f) be the second derivative of c(f). Determine s(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -5*p**3 - 8*p**2 + 5*p - 6. Let k(i) = 2*i**3 + i**2 + i - 1. Let s(z) = 2*k(z) + r(z). Give s(-7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*o + 14*o - 167691*o**2 + 15*o - 42*o.\nAnswer: -167691*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 182, -1\/6, 10.\nAnswer: -25, -1\/6, 10, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -315 not equal to -314?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f + 2*g - 10, -3*f - 13 = f - g for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3789*i - 1188*i = 44793 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12198 and 50196?\nAnswer: 102048468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 70646009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 771 is divided by 31.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-519)\/(-3) - 178)\/(-13*2\/(-4))?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1258 * 9317.\nAnswer: 11720786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 160 and (-466776)\/(-1080) + (-1)\/5?\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 132802*g + 531220. Calculate n(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -7. Suppose 240*k - 271 = 237 + 212. What is the second derivative of -37*d**3 + 88*d**v - d - 32*d**k wrt d?\nAnswer: 114*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-5)\/(-350)*-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = 4*n - 20. Let z = 0 + n. What are the prime factors of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10291 is divided by 80.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90, -4, -118, -246, -382, -520?\nAnswer: -654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14348?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2006, 2\/17, -0.74, 4?\nAnswer: 0.2006","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) 6 (b) -0.09 (c) 2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -123 not equal to -104074\/841?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 + (-20 - (-18 - (-1 - -25)))?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 190.\nAnswer: -1\/190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 160 = -8*d. Let m be 2\/8 - (-312)\/d. Let g(v) = v**2 - 9*v + 9. What is the units digit of g(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -o - 7, 2*o - 5*d = 3*o + 15 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 4*v - 6. Let h be d(-6). Let o(f) = 0*f + 4*f + 4*f**2 - 2 + 2 - 3. Let i(z) = 2 + 12 - 23*z**2 + 3 - 23*z. Determine h*i(k) + 34*o(k).\nAnswer: -2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*d**2 - 4*d**2 + 3*d**2)*(-2 - 8 + 4)*(4*d + 2*d - 4*d) to the form a*d**3 + t + w*d + r*d**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sf when two letters picked without replacement from {f: 2, b: 1, s: 1, q: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k - 2. Suppose -y + 14 = 5*g, 4*y + 20 = -g - 0*g. Let b(n) = n - 3. Let x(i) = y*j(i) + 4*b(i). Let q(f) = f**2. Calculate q(x(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -232043 - -393533. What is f rounded to the nearest 1000?\nAnswer: 161000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 349*w**2 + 1410. Let h(k) = 348*k**2 + 1435. Let s(o) = 5*h(o) - 4*r(o). What is the first derivative of s(v) wrt v?\nAnswer: 688*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of -s**7\/14 - s**3\/3 - 10*s**2 - 16. Let y(p) be the second derivative of z(p). Find the first derivative of y(w) wrt w.\nAnswer: -60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**2 - 12*s - 10. Let l(c) = c**2 + 5*c + 4. Suppose 0 = 2*y + 10, 2*y + 35 = 5*z - 0*y. Determine z*a(w) + 12*l(w).\nAnswer: 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 + -2)\/(6\/2). Let r(z) be the first derivative of n*z**2 + 3 - 2\/9*z**3 + 2\/3*z. Factor r(b).\nAnswer: -2*(b - 1)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + -3 + 15680\/4080. Which is smaller: -0.1 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 60*h. Let z(m) be the first derivative of m**5\/15 - 87*m**2\/2 - 233. Let f(y) be the second derivative of z(y). Calculate b(f(j)).\nAnswer: 240*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -192.4 + 226. Let y = j + -35.37. Round y to 1 decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -12948, 0, -5.\nAnswer: -12948, -5, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**1\/(b\/(b*b**(3\/8)))*(b**(2\/3))**(-6)*((b**(2\/3))**2)**46 assuming b is positive.\nAnswer: b**(1409\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 16 = -46. Calculate the common denominator of -71\/21 and (-3)\/((-54)\/52) - (v - -9).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 29116 from -76.86335.\nAnswer: -29192.86335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + -4*sqrt(117)*2)*3)\/(sqrt(324) - 4*sqrt(324)*1).\nAnswer: 7*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -461233 (base 7) to base 14.\nAnswer: -21cc3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 10. Let t(a) = 2*a**2 - 3*a + 6. Let y be t(6). Suppose y - 20 = 8*h. Calculate the least common multiple of w and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = -0*i + 2*i - a, 4*i + a - 224 = 0. Let l(q) = q - 1. Let h be l(3). Suppose h*g - 24 = i. Calculate the highest common factor of g and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 3*d**2. Let w(c) = c + 6. Let r be w(-5). Let v be m(r). Suppose -5*s = -0*s - 50. Solve -v*a + s = -a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 11:09 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 112\/(-105)*3\/(-2). Let q(z) = -8*z - 48. Let k be q(-6). Let k + 12\/5*v**2 - 4\/5*v**3 - a*v = 0. Calculate v.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*q**3*w - 19*q**3 + 10*q**2*w + 11*q**2 - 2*q*w**4 wrt w.\nAnswer: 11*q**3 + 10*q**2 - 8*q*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -891 and 10.94.\nAnswer: -880.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6089*x**3 - 3698?\nAnswer: -18267*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 251?\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44 - 33. Find the second derivative of -q*m**2 + 8*m**2 - 7*m + 3*m**2 - 9*m**4 wrt m.\nAnswer: -108*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2826990.\nAnswer: 2, 3, 5, 101, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6879 - -6881. Let v = -7 - -8. Let w = 539\/6 - 90. Which is the third smallest value? (a) w (b) v (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + f = 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12419554 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79 + -52. Calculate the greatest common factor of l and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u - 32 = -16 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 15 + 5. Let x(g) = 175*g - 174*g - 1 + 2. What is x(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -5*m**2. Let u(c) = 3*c - 23 + 23. Determine u(h(g)).\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52.77 + -53. Let k = -0.91 - b. What is k rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220)\/(3*sqrt(144)))\/(((-3*sqrt(120)\/sqrt(4) - sqrt(30)) + sqrt(30))\/sqrt(6))*4)**2.\nAnswer: 44\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + -70 + -9 + 89.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 6. Let a(q) = 10*q + 49. Let b be a(-4). Let t be b\/(9\/3) + o. Put -5, t, -6 in decreasing order.\nAnswer: t, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -215082.8745 to the nearest one thousand.\nAnswer: -215000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-23 - (5 + -4)) + 0. Let r = -21 - u. Solve 0 = -r*j + 5*o - 0*o, 0 = -3*j + o + 12 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -114*b + 5989. Determine n(52).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -9*c**3 - 91*c**2 + c + 21. Give t(-7).\nAnswer: -1358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g**2 - 9*g - 12. Calculate f(-6).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 h when four letters picked without replacement from hrjjojkrjhhjojrh.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -0.28, 2\/29, -1?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -20*i**3 + i**2 - 9*i + 2. Let l be n(4). Let k = -5187\/4 - l. Let z = 0.2 + -0.1. Which is the closest to k? (a) -4 (b) -0.3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f - 3*f**2 + 3*f**4 + 0*f**4 - 12*f**3 + 11*f**3 + 2*f**2 in the form g*f**4 + o*f**2 + l + j*f**3 + t*f and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 219389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-1\/15)\/b)\/b*b**(3\/22) assuming b is positive.\nAnswer: b**(23\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - 1\/1 - -6. Find the first derivative of -2*l**4 + y*l**4 - 2*l**4 + 3 - 2*l**4 wrt l.\nAnswer: -8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 16 - 4. Let g = q - 5. Let c(m) = 3*m**3 - 5*m**2 - 5*m + 5. Let z(y) = y**3 - y**2 - y + 1. Let t = 533 + -528. Determine g*c(i) + t*z(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 2711 divide 204702188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b**(2\/5)*b*b)*b**(-13))**9 assuming b is positive.\nAnswer: b**(-648\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 3*s - 6 = 0, -5*s = 4*u - 0*s + 10. Suppose q - 56 - 64 = u. Suppose 0 = -x + 5*x - q. List the prime factors of x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -78275.0000138493 - -78275. Round q to seven dps.\nAnswer: -0.0000138","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j**3 - 32028*j**2 + 15837*j**2 + 16191*j**2 + 2 - 33.\nAnswer: j**3 - 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**3 - 2140970*u**2 + 2140964*u + 4281936 = 0.\nAnswer: -1, 2, 1070484","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-5 + sqrt(25)\/sqrt(5) + -5 + 3))**2 - 3*(-2 + sqrt(6480) + 3)**2.\nAnswer: -17499 - 720*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 355 and 234655?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.01 - -4.99. Let j = 4.2 - 4. Let c = j + 0. What is the closest to -1\/4 in -0.1, r, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01139661 rounded to 4 decimal places?\nAnswer: 0.0114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.115 * -74.43.\nAnswer: -8.55945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -4*q - 2*b, -q - 2*b = -12 - 1. Solve -q*g + 14 = 3*c - 0*c, 2*g - 4 = -2*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 9*y**2 - 8*y + 9. What is b(-10)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3223*q - 15*q**2 - 6586*q + 3363*q.\nAnswer: -15*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.51326 nanometers to millimeters.\nAnswer: 0.00000951326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -222, -587, -966, -1365, -1790, -2247, -2742, -3281?\nAnswer: -3870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*x**4 - 73*x**3 + 5*x**2 - 5.\nAnswer: -168*x - 438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + o - 12 = 0. Let q = -4 + o. Suppose q*r - 3*r = -24. Calculate the remainder when 22 is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 354, -625, -2226, -4443, -7270, -10701?\nAnswer: -14730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 76\/494*(-26)\/(-6). Find k, given that 2\/3 - 4\/3*k**3 + 0*k**2 - p*k**4 + 4\/3*k = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -96 + 284\/3. Let h = 0.04 + -4.04. Sort o, h, 4\/3 in descending order.\nAnswer: 4\/3, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3713)\/79)\/(-893)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8537.993379 - -8538. Round r to 4 dps.\nAnswer: 0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from {f: 4, p: 14}.\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20021200 + -2?\nAnswer: 20021121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0900501329 rounded to 5 dps?\nAnswer: -0.09005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1093420699?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 + 2*l**3 - 2*l**4)*(-2*l + 3*l + 0*l) - 5*l**5 + 2*l**4 + 14*l**5 + 3*l**3 - 5*l**5.\nAnswer: 2*l**5 + 2*l**4 + 3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v**2 - 36*v + 10. Calculate f(12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 0 = 4*q. Let v = 4 - q. Suppose -2*j - 4*h = 20, -4*h + 4 = -4*j - 0. Put v, j, 2 in ascending order.\nAnswer: j, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*p = l - 404, -3*l - 308 = -4*p. Suppose -2*b = 3*b - p. What is the least common multiple of 3 and (-2)\/(-4)*1*b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -16*b**3 + 13*b**2 - 16*b - 12. Is q(-6) a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 2*k**2 + 4*k - 3. Let m be b(2). Let x = -101 + 88. Let y = m - x. Solve -4*n = -3*o + 11, 3*n + y - 1 = -5*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 5*d**2 - 6*d + 4. Suppose 4*k + p = -24, 0*k = -2*k - 3*p - 12. Let u be x(k). Let r = -2 + u. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -81 + 78. Suppose -4*z + 3*c + 11 = 0, 3*c - 3 = -2*z - 2. What is the closest to 0 in f, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1743?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -116 + 8*w**2 - 3*w**2 + 110 + 6*w + 5*w**2. Let f be k(-2). Which is greater: f or 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 178 = -73. Find the common denominator of 54\/(-10)*o\/28 and 63\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h + 2*h**2 - 2*h + (-7*h - 10*h - 4*h)*(h - 3 + 3).\nAnswer: -19*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -5, 350, -4, 1\/2, 0.4 in decreasing order.\nAnswer: 350, 1\/2, 0.4, -1\/3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/19, 447, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - 0 - -3 - 7. Let c be (-1)\/(2 + (-100)\/(-8)). Put -3\/7, c, n in decreasing order.\nAnswer: c, -3\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -v - 3. Let p be (-1)\/7*(285\/(-50) + 5). Which is the third smallest value? (a) 0.4 (b) p (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/5 - 296*i**2\/5 + i\/5 + 296\/5.\nAnswer: -(i - 1)*(i + 1)*(i + 296)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(68) - (3*sqrt(68)*-6 + sqrt(68) + sqrt(68) - sqrt(68)))*-1)\/(sqrt(324) - -2*sqrt(324)*3).\nAnswer: -5 - 2*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6194891977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/47 or -2?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 252 and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wpwpippbipibp. Give prob of picking 1 b, 1 i, and 2 p.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 240 + -140. Suppose -88 = -3*b + 4*n, -n - a = -3*b - 3*n. Let h be 6\/33 + b\/(-418). What is the closest to -2\/9 in -4\/5, -3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/2*(-3 + 3). Suppose b = -3*f - 2*s - 2*s + 126, s = f - 35. What are the prime factors of f?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a centimeter?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of g**3*j**2*o + 3004137*g**3*j*o**3 + g**3*j*o**2 - 10*g*j**2 + 3*g*j*o + 433153*j**2*o**3 wrt j.\nAnswer: 2*g**3*o - 20*g + 866306*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*r + 2 = 0, 7 = -w + 2*r - 0*r. Let x(j) = 3*j - 6. Let m be x(w). Solve 4*k = m*k - 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(-14 - 16 + 30 + 140*m**2).\nAnswer: 140*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -7*l**2 - 55*l + 12. Determine z(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001702034 to 7 decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5*l + 18 = -7, -5 = 3*w - 2*l. Let b(o) = 1737*o**2 + 2*o + 2. Is b(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -38*n*s**3 - n*s**2 - 13*n*s - 22*n + 55*s**2 + 2*s wrt s?\nAnswer: -228*n*s - 2*n + 110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 173020291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 545\/26?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 197*j + 8947 = 220*j. What is the remainder when j is divided by 37?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26977 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-42)*189\/(-81)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gqg when three letters picked without replacement from qgg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -882, -884, -886, -888, -890?\n\"Answer: -2*p - 880","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b**2 - 7*b - 23. Let q(v) = -4*v**2 + 7*v + 23. Let y(n) = 5*l(n) + 6*q(n). What is the remainder when y(-7) is divided by (-30)\/(-50) - 42\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12018 plus 8549?\nAnswer: 20567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 2*j**2 - 3*j + 2. Let p be o(1). Let b be (-7)\/(((-1)\/(-2) - p)*-2). What is the units digit of (10*-7)\/((-14)\/b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 2*m + 2. Let b(o) = -2*o**2 - 6*o - 6. Let i = -13 + 21. Calculate i*u(j) + 3*b(j).\nAnswer: 2*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23900 by -5975.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = y - 2*u - 14, -y = -4*u - 14 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 6*u**2 - 40 + 23 + 17. Let h(v) = -v - 1. Let x(s) = -12*s - 6. Let f(r) = 6*h(r) - x(r). Calculate f(q(k)).\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + h - 11 = 5*a, 0 = 4*h - 3*a - 17. Suppose -4*r = s - r + 13, h*r + 8 = 0. Let t = -1 - s. Solve t = 2*i - 3*d - 12, -2*d = -3*i + 1 + 7 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 162212 (b) 0.1 (c) -2\/9 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.4, 3, -0.3, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1757 + -4?\nAnswer: -1762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 30*m**2 - 10*m - 281. What is the tens digit of x(19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1631.\nAnswer: 7, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 2*s**3 + 6*s**2 - 6*s**2. Let a be m(1). Determine v so that -v**3 - 3*v**3 + 4*v**2 + a*v**3 - 4*v = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 0*k**2 + 1\/10*k**5 + 0*k**3 + 0*k**4 - 2*k + 0. Factor l(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -89 (b) 12 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3075, -12309, -27705, -49263?\nAnswer: -76983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z - 20 = -56. Let d be z\/14 + (-302)\/(-14). Let j(t) = -5*t**2 + 3 + t**3 + d*t - 13*t - 10*t. What is j(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 7) + 11 + -29 + 19.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1651 + 1654. Calculate the remainder when 29 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-10 + (5 - (13 - 9)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 247204 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: Simplify (k**17\/k)\/((k**(-7\/2)*k)\/k)*(k\/(k\/(k*(k*(k*k**(-5))\/k*k)\/k)*k))**(4\/7) assuming k is positive.\nAnswer: k**(241\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*i + 4*i = -14, -2 = -2*n - 2*i. Let d be (-4)\/(-7)*((-8897)\/403)\/(-41). Solve -2\/13*f + 2\/13*f**3 + d*f**2 - 4\/13*f**n + 0 = 0 for f.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(1400))\/(sqrt(96)\/sqrt(3))*6.\nAnswer: 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.26 and -79.9.\nAnswer: -100.674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -69. Suppose -12*y + x = -1. Is 20 a factor of ((-170)\/y + -5)*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114372 is divided by 28588?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-10 - -7) - -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8666.447 centimeters to nanometers.\nAnswer: 86664470000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + q**2 + q + 1. Let m(k) be the second derivative of -3*k**5\/20 - 5*k**4\/12 - 5*k**3\/6 - 2*k**2 + 4*k. Give -m(c) - 5*u(c).\nAnswer: -2*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/49940 and -123\/10.\nAnswer: 49940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/12)\/((-2)\/3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**6\/120 - i**5\/12 - i**4\/6 + i**3\/2 + 4*i**2. Let q be b(6). Suppose 75 = 4*v + q. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 2*j - 8380 = 0. Suppose j = 8*w - 1730. Round w to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/15? (a) -7 (b) -1 (c) -3\/175 (d) 3\/2 (e) 2\/7 (f) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16219999*n**2 + 33312*n + 70 wrt n?\nAnswer: 32439998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - d + 1120. Let u = d + 291. Which is bigger: u or 9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -3*n - 1. Let q be x(-2). Let v(g) = 3*g + 34. Let h be v(-10). Solve -h*o + 7 = -q for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 11 = 0, 3 = 4*b + 36504*n - 36503*n for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 4*k - 40, 2*r = -k - 4*k - 58. Let m be (-1 + 189\/18)\/(2\/(-4)). Let w = m - r. Solve 0 = 5*v + 5*i - 8 - 7, w*v = -3*i + 15 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(2\/17))\/q**(-5\/3))\/((q**40\/q)\/q**(-43)) assuming q is positive.\nAnswer: q**(-4040\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, -12, -202, -516, -954?\nAnswer: -1516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 2*u - 6. What is t(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaqm when four letters picked without replacement from qqaqqqmqqmma.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of (12\/10)\/((342\/18)\/3420)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 71*t**2 - t + 2. Let a = 17 + -14. Let h(n) = 142*n**2 - 2*n + 3. Let w(r) = a*h(r) - 5*p(r). Is w(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -n + 4*n. Let k = -0.6 + 3.6. Let o = k + -3.5. What is the nearest to 0 in n, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 1769*c**2 - 38931*c + 269. What is r(22)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*x + 14*x + 16. Suppose 0 = -x*q - 20, 3*q + 17 = 4*m + 2*q. Let n(b) = -9*b + m*b + 14 - 14. Let o(j) = -2*j**2. Give o(n(c)).\nAnswer: -72*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 4*v - 7*v. What is the remainder when 23 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -366, 1 in descending order.\nAnswer: 4, 1, -366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 524742720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 609 and 16617?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2878 or -1\/2?\nAnswer: 2878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 94381 and 78813.\nAnswer: 973","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**3 + 4*d**3 - 2*d**3 + (-2*d**3 + d**3 + 0*d**3)*(2 - 5 + 4) + 0*d**3 - 2*d**3 + 0*d**3 + (-4 + d**2 + 4)*(0 + 0 + 2*d) - 18*d**3 + 1 - 1.\nAnswer: -21*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-42)\/(-9) - (-2)\/6. Suppose -11 = 2*i - f, 0 = -x - 5*i - 14. Is (94 - x)*3\/9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(4\/7))**(-1\/19)\/(d**5)**12 assuming d is positive.\nAnswer: d**(-7984\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -19*f + 32. Let n(m) = -11*m + 16. Calculate 6*a(j) - 11*n(j).\nAnswer: 7*j + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (15 + -1 + -9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -211*d - 100 wrt d.\nAnswer: -211","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5573803 to the power of 1\/2, to the nearest integer?\nAnswer: 2361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -22*i**3 + 14*i**2 - 5*i + 5. Let t(u) = 12*u**3 - 6*u**2 + 2*u - 2. Determine 5*t(r) + 2*w(r).\nAnswer: 16*r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/3 - (-776)\/12. Suppose -2*i + m = -g, -4*g + 0 + 20 = 0. Let b = i - 19. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**5 - 22*b**4 + 555*b**3.\nAnswer: -b**3*(b - 15)*(b + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of -n**3\/6 + n**2 + n + 1. Let a(y) be the first derivative of s(y). Suppose -7*m = 107 - 65. What is a(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12 - -7) + (-1 - -3) + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 4*h - h. Suppose -4*o + 2*c = 10, 5*o + h = -4*c - 4. Let i = 1 - o. Solve 3*z - 3*w = 2*w + 17, -2*w - i = -3*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 9) in base 13?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b. Let h be i(-3). Let g = 5 + h. Suppose -y - 5*s = -0*y - 72, -g*s + 136 = 2*y. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -106210211?\nAnswer: 106210211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -128, -118, -96, -56, 8?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 minus 2.3280027424?\nAnswer: -14.3280027424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11824 a factor of 76508759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = f - 3*f + 20, n + 1 = -2*f. Let t = 3 + n. Solve 6*d = d + t for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15182?\nAnswer: 2, 7591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-35))\/(2\/4)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 56 = 9. Suppose -u + 5*a + 31 = 0, -3*u - k + 106 = 3*a. Let f(c) = -5*c + 1. Calculate the remainder when u is divided by f(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31917 is divided by 147?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2110111210 (base 3) in base 5?\nAnswer: 3022421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i - 2*i - 2*i + 2*i. Let j be b(3). Suppose -141 = -5*k + j*x, -2*k + 5*x - 17 = -3*k. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 201 by -1446592.\nAnswer: -201\/1446592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -9*t + 21. Let v(z) = -569*z + 1145. Let p be v(2). Let j(s) = -4*s + 11. Determine p*j(a) - 3*w(a).\nAnswer: -a + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 7*t**2 + 5*t - 2. Let b be q(3). Suppose -2*h = -b + 32. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -261 + 17 = -h. Suppose -l - 2*l + 498 = 0. Suppose l = 5*c - h. Is c a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001269887 rounded to 6 decimal places?\nAnswer: 0.00127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2074 (b) -0.05 (c) 1\/2 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 292*d - 13151. What is n(-61)?\nAnswer: 940","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 380080 and 160?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 66 = 5*o, -5*o - 12 = -r - 10*o. Let l = -11266 + 11329. What is the smallest common multiple of r and l?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -4*y + 7. Let h be (-1)\/4 + 26\/8. Suppose 3*x + h = -3. Put -5, x, y in ascending order.\nAnswer: -5, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c + 1 = c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80896 is divided by 29?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - -37200814?\nAnswer: 37200821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1339624?\nAnswer: 2, 11, 13, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -7006182?\nAnswer: 21018546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 357 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20110 + 2?\nAnswer: 20112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*o**3 - 274272*o**2 - 13281988*o + 5356680 = 0.\nAnswer: -13665, -49, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 7. Let s be (-2 - d - 3)*7. What is the tens digit of (-1)\/3*(s + -32)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -u**2\/2 + 6*u - 181. Determine c(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1 + sqrt(567) + sqrt(567)) - (3 + (-3*sqrt(567) + sqrt(567) - sqrt(567) - sqrt(567))))**2.\nAnswer: -72*sqrt(7) + 9073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*78.\nAnswer: 23.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s - 27. Let y(i) = 2*i - 48. Let u(n) = 4*n - 107. Let b(q) = -6*u(q) + 13*y(q). Determine 7*b(p) + 5*z(p).\nAnswer: -p - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27414, 54631, 81652, 108483, 135130, 161599, 187896?\nAnswer: 214027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence faww when four letters picked without replacement from frmwwvaa?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 156?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(4\/3)*q\/(q*(q\/q**8)\/q)*q*q*((q**(-4\/11)*q)\/q)\/q*q*q\/((q**(7\/4)*q)\/q))**(-30\/11) assuming q is positive.\nAnswer: q**(-6745\/242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14126, 28250, 42372, 56492, 70610?\nAnswer: 84726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 95043431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 7. Let g(t) = -t**2 + 6*t - 19. Let a(w) = -g(w) - 4*k(w). Determine a(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence neg when three letters picked without replacement from eegeneedeegvgnegdee?\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/6 + ((-2)\/15)\/((-88)\/10).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65 - 91. Let b = j + 28. Calculate the greatest common divisor of 16 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8446981*b**5 + 36*b + 331717 wrt b.\nAnswer: -168939620*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.77391l in millilitres?\nAnswer: 6773.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppgppppppppppppppp. What is prob of sequence pg?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19789 is divided by 316.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1617850 divided by -950\nAnswer: -1703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3 = -3*q, q + 2*k = 2*q - 7. Is (-1 + (-2279)\/q)\/((-6)\/9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*k - 5*b - 1, -5*k - 44 = -10*k - 8*b for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48510560.\nAnswer: 2, 5, 7, 43313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2301 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 441, 5, -4, 1, 86 in descending order.\nAnswer: 441, 86, 5, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 66*w + 16 - 12 - 65*w. Let c(j) = j. Let r be c(2). Suppose -4*a - 17 = 3*u, -2*u + 0 = -2*a + r. Calculate b(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 18 in increasing order.\nAnswer: -5, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(0 - 4\/2). Find the first derivative of -6 + t - 17*z + 30*z wrt z.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 3255\/145804?\nAnswer: 3255\/145804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*l**4 + 0*l**4 + 13 + l**4 - 8*l**4 wrt l.\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -144*z - 14*z - 320*z**3 + 219*z + 326*z + 132*z wrt z?\nAnswer: -1920*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**2\/p**(-2)*p**3\/(p*p*p**(2\/7)) assuming p is positive.\nAnswer: p**(33\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 + -0.63. Let c = z - 2.07. What is the closest to c in 0.5, -2, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -200 and -185 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 1:47 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-30)\/(-105) + 64884\/21?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -z**5\/4 - z**4\/12 + 2*z**3\/3 + 7*z**2\/2 + 21*z. Is u(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -725.95 - -232.89. What is s rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*x**2 - 51*x**3 + 16*x**2.\nAnswer: -51*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 326 divide 66720790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 3*k + 51, -5197120*k = -5197116*k + w + 17 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 1944 = 3*m, -3*m + 1299 = -5*m - 5*y. Let r = 954 + m. Let x = r + -3389\/11. Calculate the common denominator of x and 22\/13.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1935420 to the nearest ten thousand.\nAnswer: 1940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -121 divided by 4\nAnswer: -121\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 z when two letters picked without replacement from {l: 1, g: 1, z: 1, d: 3, b: 1, u: 6}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -526785\/2 and -263394 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -7 + 9. Which is the closest to 0? (a) f (b) -5\/6 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4864\/(-1045))\/(-8) + (4\/11)\/(-2). Let j = 673\/30 - 74\/15. Let l = -17 + j. Which is the closest to t? (a) l (b) 2\/13 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 7*u - 4. Let v be t(-6). Suppose -10 = -v*a - y, -a = -2*y + 7*y + 13. Solve -3*g = 3*f - 7*g - a, -2*g - 2 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0321954841 to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**3 + 3*l**2 - 2. Let n be k(3). Suppose 4*v - 7*b - 26 = -4*b, 3*v = 4*b + 23. Suppose -v*a + 36 = -n. List the prime factors of a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 40\/((-14)\/6 - -3). Suppose -o + b = o. Suppose -2*i - 3*d + 42 = 14, 4*d = -2*i + o. What is the greatest common factor of i and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3026, -12189, -27474, -48881, -76410?\nAnswer: -110061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-4\/3))**14\/(m**(-15)\/m)**(-1\/31) assuming m is positive.\nAnswer: m**(-482\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 7360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u + 3*u + 4 + 70 + 32 - 14 in the form s + h*u and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + -3. Let y be 8\/2 - (-60 - -64). Put -2, -16, y, i in ascending order.\nAnswer: -16, i, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 1894611 - 1894611 - 3*s + 0*s. Let x(f) = -1. Let g(v) = 8*v**2 - 24. Let o(d) = -g(d) + 24*x(d). Determine n(o(c)).\nAnswer: 24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -8*v + 252. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g**3 - 825*g + g**3 + 819*g. Let h(a) = -3*a**3 + 5*a. Determine 6*h(n) + 5*l(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*p + 10813 + 2165 = -258*p + 325*p for p.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -5*x**2 - 2*x + 5. Let p(f) = 2*f**2 + f - 2. Suppose -4*w + 5 = -3*q - 20, -5*q - w = 11. Determine q*n(l) - 8*p(l).\nAnswer: -l**2 - 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4248?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {i: 3, l: 3}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of a**5\/70 + 2*a**4\/21 + a**3\/7 + 18*a - 12. Let h(n) be the first derivative of x(n). Let h(p) = 0. Calculate p.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(300) + -1 - (5 + (2*sqrt(300) + sqrt(300))**2).\nAnswer: -2706 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 2 + 8 - 0. Let r(m) = 3. Let k(v) be the third derivative of -v**4\/24 + 4*v**3\/3 - 33*v**2 - 2. What is b*r(j) - 3*k(j)?\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + -16 - (-12 - (5 + 1) - -7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**8*v*v\/(((v*v**(3\/13)\/v)\/v)\/v))\/(v\/(v\/v**(-2\/7))*v**18) assuming v is positive.\nAnswer: v**(-541\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*m + 3*m - 4*m + 2*m to the form r + d*m and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.6 + -4. Let s = 0 - 0.2. Let m = -0.475 - -1.475. What is the nearest to m in f, s, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*o)*(-3*o + 2*o - o) + 252*o**2 - 691*o**2 - 515*o**2.\nAnswer: -950*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 488 + (-2)\/((-12)\/30 - 0).\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 62 = -2*h, 3*a + h = -0*a + 47. Suppose 3*s - 194 - a = 0. What is the highest common divisor of 14 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9621*j + 9617*j + 124, -o = 5*j - 151 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146375 - 18569 = -122*g. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7439, -7459, -7479, -7499?\n\"Answer: -20*i - 7419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 15*h**2 + 19*h + 3. Is n(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*d**2 - 99488 + 99488.\nAnswer: 166*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 170\/326919 or -1?\nAnswer: 170\/326919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*f = 41 - 155 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 4*l + 1 - 5, l - 14 = 3*h. Let z be (-1)\/(-2)*(14 + h). Let o = 56 + -31. What is the highest common factor of z and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 4:12 AM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*x**4 + 5*x**4 + 2*x**4 + (6*x**2 - x**2 - 3*x**2)*(-50*x + 11*x**2 + 50*x) to the form v*x**3 + h*x**2 + z + m*x**4 + i*x and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 1 - 9. Suppose q*y = -y - 18. Let a(u) = -u. What is the units digit of a(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -28, -35, -52, -85, -140?\n\"Answer: -f**3 + f**2 - 3*f - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3758 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: Simplify (i**(-22)*i\/((i\/(i*i*(i\/((i*i*((i\/(i\/((i*i\/(i**(2\/3)\/i))\/i*i))*i)\/i)\/i)\/i))\/i))\/i))**(2\/33) assuming i is positive.\nAnswer: i**(-128\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -159, -154, -169, -204, -259, -334, -429?\nAnswer: -544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.2739863 millilitres?\nAnswer: 0.0002739863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11643 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 6*p**2 + 4*p. Let q be d(-5). Solve c + 3*i + 11 = 1, -5*c - q*i = 30 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 520 + 12*u**3 - 22*u**3 - 515 - 15*u + 3*u**2 + 4*u**3 + 7*u**3. What is j(-7)?\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.276 to one decimal place.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 787123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4691 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*a - 8. Suppose 0*r + 4*r = 4. Let o be 19\/2 - r\/2. Solve -22 = 4*x - 2*v, 1 - o = -x - a*v for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -215, -217, -219, -221, -223, -225?\n\"Answer: -2*v - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7893909*m**2 + 10*m**3 + 11*m**3 - 7*m**3 - 7893909*m**2.\nAnswer: 14*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*y + r - 2*r, 5*y - 5*r + 5 = 0. Let u = 0.07 + -1.07. Let p = u - -0.8. Which is the closest to y? (a) p (b) -2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 1437?\nAnswer: 1436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 377 + -209. Calculate the greatest common divisor of 96 and n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 56 = 20*j, 0 = -j + 4*q - 5160 + 5153 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15535598 divided by -26.\nAnswer: -597523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -10 - q**3 + 9*q**2 + 8*q - 17*q**2 + 0*q. Let m be o(-9). Is m\/(-3*(-4)\/(-1332)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**2 - 3*j + 4. Give f(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 less than or equal to -59260132?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.47 - 0.24001.\nAnswer: -5.71001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16973413 and -2?\nAnswer: 33946826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1307 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 406.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -280*g**3. Suppose -3*f = -2*w + 12, -f + 5*f = w - 1. Let c be ((-15)\/w)\/(2\/12). Let k be o(c). What is k rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -20*d**2. Let t = -138 + 201. Let s(r) = 129*r - 65*r - t*r. Determine x(s(f)).\nAnswer: -20*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 714772198?\nAnswer: 2, 7, 107, 251, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -27*m - 17. What is the tens digit of r(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i\/((i*i**(-1))\/i))\/i)**(-19)\/(i*i**(-5)\/i*i*i**(-4\/5)) assuming i is positive.\nAnswer: i**(-166\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vjvjjccizjv. What is prob of picking 2 j?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = r + 1, 62*m - 67*m = r - 20. Which is the smallest value? (a) -4 (b) -4\/99 (c) r (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/55 (b) 1\/6 (c) 0.1 (d) -36.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 23794652, 23794816, 23795096, 23795498, 23796028, 23796692?\n\"Answer: j**3 + 52*j**2 + j + 23794598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -j**8\/30240 + 7*j**5\/5 + 143*j**2. Let d(s) be the third derivative of a(s). Solve d(y) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15724000 rounded to the nearest 100000?\nAnswer: -15700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8, -4, 2, 10, 20, 32?\n\"Answer: n**2 + n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49323 + 0.24103604.\nAnswer: 49323.24103604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 3471?\nAnswer: 3472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 6*t**2 + 19*t - 5. What is a(-8)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13201, -140, -4 in increasing order.\nAnswer: -13201, -140, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x + 47. Determine u(19).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, -0.01047, 2, 1\/4?\nAnswer: -0.01047","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.24089*2.9\nAnswer: 0.698581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2073 + 2082. Solve 7*z + i - 30 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 8:34 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002967798 rounded to four decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**0*t\/(t*t\/t**(6\/11)) assuming t is positive.\nAnswer: t**(-5\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 25*q - 10. Let o(i) = -17*i + 7. Let l(c) = -5*j(c) - 7*o(c). Calculate l(4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + (0 - 2) - -1. Suppose 5 = i*r - 3. Solve -r*m + 4*v = -16, 4*m + v + 6 = 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*l + 10 - 394 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bedmjdd. What is prob of sequence je?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 178055.8 centuries?\nAnswer: 213666960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*y**3 - y + 1 wrt y.\nAnswer: 30*y**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 3)*(-t - 2*t + 4*t)*(-3*t + 28*t - 3*t).\nAnswer: 66*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 5*i**3 - 5*i**2 + 3*i + 1. Let l(u) = -2*u**3 + 2*u**2 - u. Let j(k) = -9*l(k) - 4*p(k). Is j(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o + 8. Give i(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1916)\/(-6)*342\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmsesssmm. What is prob of sequence mm?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*125164.\nAnswer: -876148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002085 rounded to 4 decimal places?\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of -1\/60*t**6 + 0*t**7 + 0 + 1\/24*t**4 + 0*t + 0*t**3 + 1\/336*t**8 + 0*t**5 + t**2. Factor n(c).\nAnswer: c*(c - 1)**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 99640?\nAnswer: -1\/49820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -67016*d. Let z(a) = -11*a. What is z(h(j))?\nAnswer: 737176*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 74, -1.1, 1\/4, 4, -5\/3, 105, 0.4?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**3\/9 - 160*m**2\/9 - 326*m\/9 - 164\/9 = 0.\nAnswer: -1, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 0 + 2*d - 1\/3*d**4 - 3\/2*d**2 + 2\/3*d**3. What is j(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q - 15 = -26 + 154 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -79039, -316118, -711241, -1264408, -1975619, -2844874?\n\"Answer: -79022*m**2 - 13*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 1762350.\nAnswer: -1\/881175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 76056433 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -1\/210*t**5 + 2\/21*t**3 - 1\/84*t**4 + 0 + 4*t**2 + 0*t. Factor z(f).\nAnswer: -2*(f - 1)*(f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 363336144?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -10*k. Let z(t) be the third derivative of t**7\/2520 - 5*t**4\/8 - 14*t**2. Let v(l) be the second derivative of z(l). Calculate v(p(h)).\nAnswer: 100*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1126, 4312, 9620, 17050, 26602, 38276, 52072?\n\"Answer: 1061*s**2 + 3*s + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n + 5*z = 12*n + 1, 3*n - z = 7 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6578 and 80201.\nAnswer: 2085226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 6*u + 108 - 66*u**2 - 2\/3*u**3. Differentiate k(o) with respect to o.\nAnswer: -4*o - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 6) + 21 - 7 - 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d = -2*h + 14*d - 14, -5*h + 2*d = 34. Let i = h - -351. Calculate the remainder when i is divided by 70.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*-3294\nAnswer: -329.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -5*i**4\/4 + 10*i**3 + 5*i**2\/2 - 30*i - 40. Find r, given that y(r) = 0.\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3 + 0 + u + u**2 + 4. Suppose -4*r - 2 = 6. What is the units digit of i(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, -2, -5\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 21*v - 1)*(-v**4 + 5*v**4 - 5*v**2 - 3*v**4).\nAnswer: 21*v**5 - 105*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 5*m + 31 - 7 = 0, 0 = -4*n - 2*m - 6. Suppose -4*p - 64 = 4*d - 20, -3*p + 3*d - 3 = 0. Sort p, n, -5 in descending order.\nAnswer: n, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -2\/21 (b) 0.91 (c) -2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 67 and 2479.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 - 23*g + 10. Determine p(21).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 0*d**2 - 1\/6*d**3 + 0 - 9*d. Let c(w) = 23*w**2. Calculate c(v(k)).\nAnswer: 23*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (198\/135 + (-28)\/35)*12\/160. Let y(h) be the second derivative of h**3 + 1\/2*h**2 + g*h**5 - 7\/12*h**4 + 17*h + 0. What is y(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmgm when four letters picked without replacement from gmssugusmuuummssm?\nAnswer: 1\/1428","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 484156 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 4*b + 28, 2*o - 3 = -4*b + 1. Find the common denominator of (-348)\/o + -2 + 2 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*b = -68*b - 36. Solve b*p - 3*q = -24, p - q = 2*p - 1 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 505, 1013, 1511, 1993, 2453, 2885, 3283?\nAnswer: 3641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/42 - 8\/(-28).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-2))\/((-2)\/(-16)). Let x be -1*-3*(-2)\/12. Sort g, -1, x in decreasing order.\nAnswer: g, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 v when four letters picked without replacement from vfffvvvvfvfff?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of r**6\/120 - 3*r**5\/16 - 17*r**4\/48 + 5*r**3\/8 + 2*r**2 + 787*r. Let o(l) = 0. What is l?\nAnswer: -1, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 + 5 - 4) + (-2 - (-14 + 8)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 41*p**2 - 578*p + 2699. Give b(16).\nAnswer: -149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lfl. Give prob of sequence lf.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 2*a + 155. Let m = 31 + -31. Let r = a - m. Is r a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3 + 3*p**2 - 2*p - 2*p - 6*p**2 - p**3 - 1. Does 12 divide l(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/6467 + 2347519\/12934. Let p = s + -1721\/10. What is the common denominator of p and 2\/(-14)*(14 + -5)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*f*k*l + 3029*f*k + 15*f*l - k*l + k - 3*l wrt l?\nAnswer: -3*f*k + 15*f - k - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22154 and 5016?\nAnswer: 265848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 - 0.2. Suppose 0 = 5*d - 3*d. Suppose l = 0, 2 = -k - d*l - 4*l. What is the closest to z in k, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5452*l**4 - 44*l**2 - 59*l wrt l?\nAnswer: 130848*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -16. Sort -2, -3\/4, s in descending order.\nAnswer: -3\/4, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -154, -226, -296, -364, -430?\nAnswer: -494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.89 - -0.54. Let g = l + -0.48. Let r = g - 1.9. What is r rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3242 divide 526200213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 21*t**2 - 40*t + 38. Determine k(19).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 5.008. Let s = v - 0. What is s rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2. Let g(j) = 6*j**2 - 5*j + 1. Let c(u) = -6*u**2 + 6*u - 1. Let r(a) = -5*c(a) - 6*g(a). Give n(r(f)).\nAnswer: 36*f**4 + 12*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4*f + 85. What is j(20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80 and 6870?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t + 18*t - 2*t - 2*t - 7*t + 12*t**2.\nAnswer: 12*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 134114*-0.14\nAnswer: -18775.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*i**2\/11 + 192*i\/11 + 186\/11.\nAnswer: 6*(i + 1)*(i + 31)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - v. Suppose v*m = -3*m + 3. Let a be 9\/6*(m - 3). Let f(g) = g**2 + 4*g + 2. Determine f(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 + 1 + (6 - -7) + (-10 - -16) + -10?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (328 + 16*f - 328)*(-4 - 3 + 5 + (5 - 4 - 2)*(-1 + 2 + 0))*(24 + 6 + 20 + (2 - 6 + 3)*(-4 + 2 + 1)) in the form t*f + g and give t.\nAnswer: -2448","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 575203607.\nAnswer: 11, 52291237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34632 and 1045200?\nAnswer: 116017200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 5*q**2 - 10*q + 123. List the prime factors of f(66).\nAnswer: 3, 73, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.98 + -3.98. Which is the closest to -0.2? (a) -6 (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(1\/4)*s*s)\/(s\/(s\/((s\/s**5*s)\/s))*s)*(s*s**0*s)**(-40) assuming s is positive.\nAnswer: s**(-295\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -58 + 63. Suppose -3*s = -5*b + 233, 3*s - b = -4*b - 201. Let a = 126 + s. What is the highest common factor of v and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.3864ml in litres?\nAnswer: 0.0343864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.1 (b) 7 (c) 0 (d) 2\/7 (e) -171\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-96826)\/(-18) + 9*34\/(-1377)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.879 times -0.72\nAnswer: 4.23288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*4*sqrt(363)*2.\nAnswer: -88*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 7, 2\/11, -1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -36*y**2. Let j(z) = -25*z**2. Calculate x(j(k)).\nAnswer: -22500*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 4 - (-3 + -3 + 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h**2 - 6*h + 2. Let k(v) = 4*v**2 - 6*v + 3. Calculate -4*k(n) + 5*z(n).\nAnswer: -n**2 - 6*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q + 1. Suppose 6 = -2*w - 4*b, 3*w + 0*b - 5*b - 13 = 0. Let n(x) = 0*x + 5 + x - 2 - w. Calculate -2*n(l) + 4*o(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -18*h**2 - 1. Let c(o) = 9*o**2 + 1. Let x(b) = -9*c(b) - 4*i(b). What is the derivative of x(n) wrt n?\nAnswer: -18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 5:10 AM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 33004586 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-3))\/((-1)\/(-6)). Let b be (-6)\/(-2) - (m - -3). Let q = 3 + b. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -101, -205, -333, -491, -685, -921?\n\"Answer: -p**3 - 6*p**2 - 79*p - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*v + 11441 = 3*f, -2*v = -4*f - 22902. Suppose 5*n - v = -4*t, -9170 = -4*n + 4*t - t. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7.95992 + -116017982.\nAnswer: -116017989.95992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**2 + 15*p + 100 = 0. Calculate p.\nAnswer: -5, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -330254251 + 1?\nAnswer: -330254250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8404310, -16808670, -25213030, -33617390?\n\"Answer: -8404360*d + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, c: 5, i: 7}. What is prob of sequence zi?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 16 = -5*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*4*sqrt(45) + -1 + 0.\nAnswer: -1 + 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-160)\/(-540)*(4\/(-2))\/((-32)\/(-4)).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9588 = -2230*k - 103248 for k.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xgxp when four letters picked without replacement from {a: 2, y: 1, x: 3, p: 1, t: 1, g: 1}?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -3905 and -304.5.\nAnswer: 1189072.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-5 + -2 + (5 - 6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 255 (b) 1\/14 (c) 2\/5 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 1:12 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.1 (b) 7 (c) -57\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 11 (b) -0.5 (c) 23 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1380 and 2320056.78632?\nAnswer: 2321436.78632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9689\/7 + 1384. Put v, 3\/14, -28 in increasing order.\nAnswer: -28, v, 3\/14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5280 + -8 + 75\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 85, 83, 71, 43, -7, -85?\n\"Answer: -d**3 + d**2 + 2*d + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 445 is divided by 316.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2. Let u(b) = -253*b**2 + 6*b + 3. Let j(l) = -4*d(l) + u(l). What is the second derivative of j(f) wrt f?\nAnswer: -514","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1, -11, -25, -43?\n\"Answer: -2*n**2 - 4*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b**3 - 5*b**2 - 4*b - 4. Let a = 6 + -3. Let p(s) = s - s**a + 2*s**2 - 2 - s**2 + 3. Let r(h) = 4*p(h) + x(h). Factor r(c).\nAnswer: -c**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 u when four letters picked without replacement from {z: 8, w: 4, u: 5}.\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14266*r - 1060 = 14213*r for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 423565 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 1:50 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-23)\/(-414) + (-1)\/(-6))\/((-98)\/882)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203875460.\nAnswer: 2, 5, 907, 11239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.702149097 to 3 dps.\nAnswer: -3.702","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.163 rounded to 1 dp?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 35*m**2 + 35*m - 5. Calculate z(-34).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s - 49. Let d(t) = -7 - 8 - 1 + 0 + t. Let m(i) = 7*d(i) - 2*z(i). Calculate m(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 95918 and 10746.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -634, -2573, -5802, -10327, -16154, -23289, -31738, -41507?\nAnswer: -52602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001205905109 to 7 dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 13914 and 1?\nAnswer: 13913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 5*n**4\/6 - n**3\/2 + n**2 + 120*n + 4. Calculate p(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 8 - 14 - 9*y.\nAnswer: -9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*t**3 + 3*t - 3*t)*(-9400 + 9400 - 118*t + (-t + 2 - 2)*(-5 + 2 + 21)) to u*t**2 + d + x*t + w*t**3 + c*t**4 and give c.\nAnswer: 544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -3*a + 144. Let u be v(13). What is the highest common factor of u and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -l**6\/120 - 3*l**5\/80 - l**4\/24 + 2*l - 12. Factor x(o).\nAnswer: -o**2*(o + 1)*(o + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7799910*i*x - 1118827*x + 1 wrt i.\nAnswer: 7799910*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2848751 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 274.2 - 274. Let w = 1 + 0. What is the nearest to 18 in w, 5, o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.08 and -43.\nAnswer: 3.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -79685045\nAnswer: 1\/79685045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 + 1)\/(1\/67) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iuuuuuuuui?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o + 19. Let q(k) = k**2 - 4*k + 39. What is -3*q(j) + 7*v(j)?\nAnswer: -3*j**2 - 2*j + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 659 (base 16) to base 5.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 7*b + 8. Let r be k(6). Suppose -r*o = -0*o - 24. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 8:43 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*n + 36*n - 4. Let g = 5 - 6. Which is the nearest to g? (a) 0 (b) n (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t + t - 3*t + 2 + t - 2 + (2*t - 3*t + 0*t)*(1 - 5 + 3) + 6 - 6 + 4*t.\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 218*(5 - 1) - -1. Suppose 4*d = h + 339. Suppose 5*b - 293 = -4*v + 3*v, 5*b - 4*v = d. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1)\/(-6))\/((-1)\/(-4)). Let f(t) = 3*t**2 - 2*t + 1. Let l be f(1). Let g be 2\/((42\/(-9))\/l). Which is the second biggest value? (a) 5 (b) o (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1959045 is divided by 273?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3562 + 1970. Let b be (-3)\/(-4 - 6356\/a). Suppose 4*j + d = 3*d + b, 5*d + 25 = 0. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 0.4 (b) -0.16 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10270184 is divided by 47328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 + 1)*(-1 - 0) + 6. Let q(l) be the first derivative of -l**2\/2 + 5*l + 2. Let f be q(a). Is -10 not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36bb (base 12) to base 11.\nAnswer: -4719","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2331 times 0.2?\nAnswer: -466.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 265?\nAnswer: -9\/265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 7*w - 23. What is the remainder when 159 is divided by f(9)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4)\/(w*w**(-1\/3)))\/(w**(-2)\/w**(1\/13)) assuming w is positive.\nAnswer: w**(-101\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101246448 is divided by 56912?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 8*z**2 - 5*z - 10. Let h be 2*(735\/10)\/(-21). What is w(h)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5.6 and -4.3.\nAnswer: -9.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (3 - (-10 + 14) - -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.501798 to 3 decimal places.\nAnswer: 0.502","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i*o**3*t - 8*i*o**2*t - 19*i*o**2 - 4*i*o*t + 261*i*t - 2*o**3 wrt o?\nAnswer: 6*i*o*t - 16*i*t - 38*i - 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-134590)\/(-14) - (-108)\/(-189) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 1914?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17.36330001 + 0.36326901. Let j = o + 17. Round j to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27291 + -27290.87. Which is the second biggest value? (a) 0.05 (b) w (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00052977 rounded to 5 dps?\nAnswer: 0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 n when three letters picked without replacement from {j: 5, n: 5}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90273 + 178060 + 113813 = 84*l. Does 50 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2*p = 2*p, d + 2*p + 5 = 0. Suppose 0*x = x + d*h - 5, 3 = -h. What are the prime factors of x?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/1749 and 161\/56011566.\nAnswer: 616127226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11588 + -115689\/10. Let z = t - 39\/2. Which is the second smallest value? (a) 0.4 (b) z (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m\/(m**(-20\/7)\/m)))**(-24) assuming m is positive.\nAnswer: m**(816\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -23 in descending order.\nAnswer: -2, -4, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**2 - 6*n + 5. Let y(c) = -c**2 + 1. Let x(m) = a(m) - 3*y(m). Suppose u = -2, -h - 2*u + 3*u = -10. What are the prime factors of x(h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15812, -32038, -48264, -64490?\nAnswer: -80716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.7 - 16.8. Let p = 15 + h. Let i = p + 2.504. Round i to two dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 25638414.\nAnswer: 76915242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 18720?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 - 61*u**2 + 506*u + 41. Calculate p(10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i + g + 9 = -3*i, -i + 7 = g. What is the third derivative of -3*f**3 + i*f**3 + f**2 - 2*f**2 wrt f?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3475.\nAnswer: 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2281 = 38*r + 6*r + 785. What are the prime factors of r?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 3:21 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 20622\/19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 208 - 204. Suppose v = -0 - r, -3*v = 5*c - 13. Solve 13*f + c = 12*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 194846.5 rounded to the nearest one thousand?\nAnswer: 195000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**3 + a**3 + a**3)*(0 + 3 + 2) + (-2 - 2*a + 2)*(3*a - 3*a + a**2).\nAnswer: 28*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -812, -952, -1168, -1454, -1804, -2212?\n\"Answer: m**3 - 44*m**2 - 15*m - 754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o + 12. Determine r(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70 - 65040*k**3 + 70.\nAnswer: -65040*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 5*u + 4*u)*(66 + 118 - 284).\nAnswer: -300*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-15) - (-17)\/(-5). Let y be 3\/(l - 27\/(-6)). Suppose -5*i - 2*t + 477 = 88, -i + y*t + 73 = 0. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*y**5 - y**4 - 18*y**3 + 2*y**2 + 188*y - 19 wrt y.\nAnswer: 300*y**2 - 24*y - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 460 and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, 148, 215, 278, 337?\nAnswer: 392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 1 - 308*y + 88*y + 139*y.\nAnswer: -81*y + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.482575 months to millennia.\nAnswer: 0.00145688125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uujuuupgpgjpu. Give prob of sequence gu.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2\/28)\/(((-1)\/(-6)*-3)\/6)\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(162\/15)*5052\/6315.\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 93548.17km?\nAnswer: 93548170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 29472*o. Let f(j) = -4*j**2 + 61. What is f(z(a))?\nAnswer: -3474395136*a**2 + 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.0465 (b) -4\/5 (c) -2.4 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + z + 6 = 0. Suppose 0*j + 4*t = 5*j + 5, -5 = 5*j + 4*t. Let x be (0 - (j + z)) + -3299. What is x rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6151523582099 and -3.\nAnswer: -6151523582102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -23*g + 28*g. Suppose -386 = -14*m + g. Suppose -m = 9*p - 118. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7ab65b (base 16) in base 5?\nAnswer: -4024321300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 627 is divided by 159?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5552, -10943, -16334, -21725, -27116, -32507?\nAnswer: -37898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 e when three letters picked without replacement from eweeeweeeeeeeewweee.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 53643539?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 115568, 115567, 115588, 115631, 115696, 115783?\n\"Answer: 11*k**2 - 34*k + 115591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 3 = 3*a, 4*o - 59 + 63 = -4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144*r - 142*r = 8. Solve -u = -r*b - 17, -6*u = -11*u + 5*b + 10 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*o + 186 - o**3 + 691*o - 192.\nAnswer: -o**3 + 632*o - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -76000000 to the nearest 1000000.\nAnswer: -76000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 0*q + q)*((-9 + 8*q + 9)*(-1 + 2 - 2 + (-3 + 1 + 1)*(5 - 5 + 1)) + 4 - 4 - 3*q).\nAnswer: -19*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 288 = -8*p. Let m = 93 + p. Suppose f + 4*f = 0. Is m at least f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, f: 10, b: 2}. Give prob of sequence fbbb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 892*l**2 - 937*l**5 + 10*l**6 + 249*l**6 + 940*l**5 - 3 wrt l?\nAnswer: 31080*l**3 + 180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 98844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 94725?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -127*y**4 + 3*y**2 - 100*y. Let x(z) = 513*z**2 + 5*z - 514*z**2 + 0*z - 4*z. Let i(p) = h(p) + 3*x(p). Find the second derivative of i(c) wrt c.\nAnswer: -1524*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18275688?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 45 = a + y, -4*y - 135 = -3*a. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1695900 to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4233 - 4240.132. Let y = -0.132 - n. What is the nearest to 1 in y, 0, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyyeyye. What is prob of picking 2 y?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 less than -1160724052.708?\nAnswer: -1160724053.708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 196933.\nAnswer: 11, 17903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -40*s**3\/3 + 795*s**2\/2 + 945*s + 4103. Solve l(a) = 0.\nAnswer: -9\/8, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.8712518 rounded to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -1\/2 (c) -5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 642803781 to the nearest integer?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47624434?\nAnswer: 2, 11, 13, 89, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3365020 is divided by 841164?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 4*l + 8. Let i be q(5). Let d be 3 + (-76)\/i + (-54)\/(-7). Suppose d = 7*f - 5*f. Solve 0 = f*o + o - 2*x - 35, 0 = -2*o - 4*x - 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - 19. Let n = z - -89. Let o = n + -51.42. What is o rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -114*z**2 - 6*z + 103. Let g(h) = 227*h**2 + 11*h - 208. Let a(s) = -11*c(s) - 6*g(s). Differentiate a(o) with respect to o.\nAnswer: -216*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35 + -18. Suppose -20 = -3*m + m + 5*h, -v = -3*m + h. Put 4, -4, m in descending order.\nAnswer: m, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -m + 116, u = -5*m + 4*u + 552. Suppose w + 148 = 4*z, 3*z - 3 = w + m. Is z even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, y: 3, l: 2, w: 2, a: 3, c: 1}. What is prob of sequence aac?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8856 and 1230?\nAnswer: 44280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uqkcqdc. Give prob of sequence kqd.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*m**2*u**2 + 374*m**2*u + 79339*m*u**4 - 1059*m*u wrt u.\nAnswer: 8*m**2 + 952068*m*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22834 and 2651978?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -190 + 193. Suppose -4*s - 4*v - 5935 = -7*s, -d*v + 9853 = 5*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*t\/(t*t*t*t**(-1\/27)*t)*t\/(t\/(t\/t**(3\/26)*t*t)*t)*t**(-28)\/t**(5\/3) assuming t is positive.\nAnswer: t**(-20179\/702)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j - 18. Give p(-19).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -287 by -206.\nAnswer: 287\/206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + 2*k, 3*x + k - 8 = 2*k. Suppose -t = 4*q - 10, -2*t + 0 = 2*q - x. What is the highest common factor of q and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -283 - -283.2. Sort 4\/3, -14, z, -0.1.\nAnswer: -14, -0.1, z, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g = -160 - 520. What is the units digit of g*(28\/20)\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -7 - (5 + -13 + 21 + -1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 177926 and 164010.\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/(u\/(((u\/((u**(2\/13)*u)\/u))\/u)\/u*u)))\/u)\/u**(-1))\/(u\/(u**7*u)*u**(5\/7)\/u))**(-1\/21) assuming u is positive.\nAnswer: u**(-649\/1911)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g**3 - 9*g**3 + 7 + g**3 - 24.\nAnswer: g**3 - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425438 is divided by 22388?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 12*m. Let u be o(1). Let c be ((-8)\/u)\/(2\/(-9)). Suppose -q = c*q - 40. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 373\/4 + -94. Let i = -2\/7477 - 7381\/358896. Which is the nearest to 3\/4? (a) -2 (b) i (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4149160 divided by 19\nAnswer: -4149160\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrxx when four letters picked without replacement from xrrx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 181 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 13908, 13910, 13912, 13914, 13916, 13918?\n\"Answer: 2*s + 13906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36251641 (base 7) to base 2.\nAnswer: -1100010010110100011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3198528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4\/7, -756, 2\/7, 3\/26, -1\/5, -2\/7, 3\/4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 54781 = 276. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26269909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 509 + -509.351. Let k = 0.43 + n. Round k to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 4059, 16245, 36555, 64989, 101547, 146229, 199035?\n\"Answer: 4062*g**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, -19, -84, -193, -352?\nAnswer: -567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h + 13. Suppose -12 = x + 3*g, 3*g = -2*g + 10. Let i be (-44)\/(-8) + -4 - x\/(-4). Let r be b(i). Calculate the highest common divisor of r and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-180)*114)\/((-1)\/(-1))\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 4*g - 2*g**3 - 4*g**3 + g**2 - 2*g**4 - 7*g**2 + 8*g**2 + 2*g**5 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1518*d**4 + 3 + 3032*d**4 + 173*d - 1516*d**4 in the form g*d + j*d**3 + a + m*d**4 + f*d**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.17 + 360.17. Let x = -347 + h. Let y = -3 - -5. Which is smaller: y or x?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/3*k**2 - 1\/3*k**4 - 1\/3 + 0*k + 0*k**3 = 0. Calculate k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3*sqrt(425)*-2*1)**2.\nAnswer: -91800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**50*x))\/x)\/(x\/(x**(-2\/41)\/x)) assuming x is positive.\nAnswer: x**(-2216\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5816535?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**3 - c. Let u(r) = -2*r + 18*r**3 + 2*r**2 - 81*r**3 - 7*r**2. Let a(k) = u(k) - 4*x(k). Let n be a(-4). What is n rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 6*a**2 - 2*a + 1. Let p be ((-25)\/(-5) + -8)\/(1\/(-10)). Let n = p + -97. Let z = n - -68. Give t(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 smaller than 1\/460581?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2)\/(r\/(r**(-1)*r*r)))**3)**(10\/9) assuming r is positive.\nAnswer: r**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qgqgggggggg. Give prob of sequence gq.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*k + 22*k + 7*k - 64*k + 24*k + 27*k.\nAnswer: 27*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrbr when four letters picked without replacement from {b: 3, r: 1, n: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-302925)\/(-2) - (-4)\/(-8). Let j = x + 95538. What is j rounded to the nearest ten thousand?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 5*u + 0*u - 7 - 3 - 6*u. Let j be b(-11). Solve -5*d - j = i, 4*d - d - 2*i - 2 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 times 24.979\nAnswer: -199.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -5, 163000123?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(-18)*-3*54\/(-135)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2034 and 1695.\nAnswer: 10170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -7*j - 27. Let u(l) = -l**2 + 3*l + 5. Let o be u(5). Let h be t(o). Solve -2 = 5*v + h for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r - 1. Let q(o) = 10*o + 7. Let b(j) = -6*g(j) - q(j). Let h be b(-4). Solve -4*y - 20 = -4*p, 2*p + 3*y + h = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -543*p + 9. Let y be t(9). Let b be 2\/((-260)\/633715) - 1\/1. Let w = b - y. Calculate the common denominator of 111\/22 and w.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-16)*460\/(-345)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + 421249.\nAnswer: 421249.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6324797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004027 rounded to 5 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4*(sqrt(567) + (sqrt(567) + -1)*4)*-6*1 + 1.\nAnswer: -1080*sqrt(7) + 95","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by 109.\nAnswer: 20\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 + 0.1. Let q = 6 + -1. Let u be 8\/30*(-6)\/((-180)\/(-25)). Sort k, u, q in increasing order.\nAnswer: u, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - (3 + 0\/10))\/(1\/(-4))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4796 + -4724. What is the greatest common factor of 1476 and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1104 and 15388769367.\nAnswer: 15388768263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 24 = 2*n, 2*g + 66 = 5*n + 6*g. Let l = -7 - -47. Let a = l + -22. Calculate the remainder when a is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30 or -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/7495455 - -43189711163\/5996364. Let d = -13985 + 6778. Let v = d + t. What is the common denominator of v and 47\/6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12c9a (base 15) in base 14?\nAnswer: 17d36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -89*l**2 + 89*l**2 - l**4 + (-l + 2*l**3 + l)*(-5*l + l + 2*l) to o*l + z*l**2 + c*l**3 + j*l**4 + t and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 19. Let n be (-8)\/(-10)*5\/(-10). Which is the second smallest value? (a) n (b) q (c) 47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11024 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -3, 119?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 175026589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -11*c**2. Let x(u) = 6*u - 3*u - 6*u. What is x(v(r))?\nAnswer: 33*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2. Let u = 1 - -3. Let f be (-1 - (-3)\/9)\/(36\/(-162)). Let r(w) = -3 + 5*w + 8*w - 12*w + 1. Calculate f*r(x) + u*h(x).\nAnswer: 3*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2420767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/9 (b) -5 (c) -1 (d) 0 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 6106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*k - 201 = 72 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*x - 32*x = -100 - 610 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of m**6\/160 - m**5\/80 - m**4\/8 + m**3\/2 + 3*m**2 - 6*m. Factor s(c).\nAnswer: 3*(c - 2)*(c - 1)*(c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jhb when three letters picked without replacement from {h: 1, j: 1, b: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160102 divided by 80051.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 3*h - 45 = 2*h - 4*h, -15*h = -11*h - 4 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 623 and -0.2.\nAnswer: -124.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 21*o**2 + 95*o - 171. Determine k(6).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2403948969?\nAnswer: 3, 89035147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5768, 24351, 55314, 98651, 154356, 222423, 302846, 395619?\nAnswer: 500736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-96)\/(-112))\/(3\/189). Let b = -52 + m. Suppose -3*w + 11 = -4. Solve -b = -w*l + 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 1. Suppose -2*x + 0*w + w = 0, -w = -x + i. What is the biggest value in -4\/3, x, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -7\/26 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 s when two letters picked without replacement from {r: 5, o: 2, u: 5, b: 3, s: 4}?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 3)*(-y**2 + 0 + 0) - 2*y**2 - 4*y**2 + 3*y**2 - 2*y + 1 + 0*y**2 - 2 - y**2 to k*y + x*y**2 + v and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18 (base 11) to base 5.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1624.403ug to tonnes.\nAnswer: 0.000000001624403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*j**4 - 36*j**3 + j**2 + 29 wrt j.\nAnswer: 96*j - 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 115059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {q: 7, f: 12}.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -6*a**3 + 3*a**2 + 7*a + 8. Let n be d(-2). Suppose 0 = 7*r + 40 - n. Solve -r*z + 6 = -4 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 - (81 - 38) - (0 + -31) - 1.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-3\/4))\/(y\/(y*y**3)))**(-24)\/(y**(1\/3)\/((y\/((y*y\/(y**(-3)*y)*y)\/y)*y)\/y)*y**(2\/5)*y**(-5\/4)) assuming y is positive.\nAnswer: y**(-6989\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**3 + 377*f**2 - 17693*f - 635. What is m(100)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -13*j - 2278. Let q(r) = -10*r - 2279. Give 4*q(o) - 3*x(o).\nAnswer: -o - 2282","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33762, -28562, -19896, -7764?\nAnswer: 7834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006083143 rounded to six decimal places?\nAnswer: -0.000608","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7 and 3.07.\nAnswer: 10.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -15, 2, -3?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18756 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-2 + -8)) + (-5 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/7))**(1\/15)*(s*s**(3\/2)\/s)\/((s*s\/((s*s\/s**(2\/19))\/s))\/s))\/((s**(2\/3))**(2\/79)*((s\/s**(1\/5))\/s)**(2\/65)) assuming s is positive.\nAnswer: s**(27966299\/20488650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 12:52 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 9*g. Let h(b) = -7*b - 2*b + 9*b - b. What is h(t(r))?\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59259.\nAnswer: 3, 19753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -136\/83 greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 6 + 2)*(2*u**3 - 4*u**3 + 0*u**3) - 2*u**3 + 3*u**3 - 3*u**3 to g*u**3 + n*u + v + b*u**2 and give g.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1722 by 2.\nAnswer: -861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 5*j**2 + 4*j + 3. Suppose 6*k - 15 = k. Suppose -k*f = -2*u - 11, 3*f - 4*u + 23 = 6*f. Suppose f + 3 = 2*y. Calculate c(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 5*l - 381 - 1462 = 0, -k - 2*l + 917 = 0. Suppose -k + 3166 = 7*a. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23.42 - -0.58. Let p = 40 - v. Let t = p + -15. Do t and 1 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3072 and 32?\nAnswer: 3072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of -o**4\/66 - 8*o**3\/33 - 16*o**2\/11 + 2*o. Factor a(t).\nAnswer: -2*(t + 4)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 0. Suppose j*q - 2 = -3*l, 4 - 14 = 5*l. Let d be 22\/(-1 + q\/2). Solve 0 = -5*t - 3*v - d, 4*v - v = -12 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - l - 63, -a - 17 = -8*l - 118. Let n(c) = -c + 10. Suppose -2*i = -3*i. Calculate the remainder when a is divided by n(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*r - 212 = -108*r - 2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10458 or -3\/2?\nAnswer: 10458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 3 - 0, -4*w + 253 = c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001789 to 7 decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2393248?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -803 + 827. What is the greatest common divisor of s and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 284912?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-2\/3)\/p))**23\/((p**(2\/27)\/p)\/((p*p\/p**(-10))\/p*p)))**(-4\/7) assuming p is positive.\nAnswer: p**(-8020\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -52, -89, -124, -157, -188, -217?\nAnswer: -244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*k**2 - 40*k**2 - 36*k**2.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 113 - 36. What is the highest common factor of y and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 7*n - 25 = 3*n, -4*n = -a - 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 1:03 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + i - 20, -2*y = 2*i - 4. Let p be y\/(-18)*-2 + 0 + 0. Put p, 2\/9, -1\/8 in decreasing order.\nAnswer: 2\/9, -1\/8, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -442*g*n**2 + 534*g*p**3 - n**2*p**3 - 56*n**2*p**2 + 2*n**2*p + n**2 - 1724*n*p**2 wrt g?\nAnswer: -442*n**2 + 534*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + (-4 + 12 - (-4)\/4). Solve -13*r + 4 = -o*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o + 2*o**3 + 2*o + (4*o - 2*o - 3*o)*(0*o**2 + 2*o**2 - o**2) - o**2 + o**2 - 5*o**3.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -182567*z**6 + 71633*z**2 + 1?\nAnswer: -21908040*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 176489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15800.\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 s when two letters picked without replacement from srrrrrcvqvvrvqq.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11936 - -12249. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3*n - 8. Let f = 5 - n. Let c(a) = -7*a + 3. Let w(m) be the second derivative of 2*m**3\/3 - m**2 - 10*m. Give f*c(j) - 5*w(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5077 is divided by 353.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -62 - ad13?\nAnswer: -ad75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 3*h + 4. Let i be q(3). Let c(d) = d - i*d + 0*d + d. Let z(s) = 18*s - 20. Let o(r) = 17*r - 15. Let v(t) = -4*o(t) + 3*z(t). Give v(c(y)).\nAnswer: 28*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -80 - -85. Suppose d - 7 = r, 12 = -c*d + 4*r + 46. Solve 0 = -4*t + 6 + d for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -1047*m - 29880. What is p(-28)?\nAnswer: -564","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -138 + 137. Which is the closest to 6? (a) k (b) 0.2 (c) 2\/3 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-609)\/6 - 2)\/(15\/(-200)). Round i to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 386*t + 595*t + 3823 - 880 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94305 - 151364. Let x = n - -1996381\/35. Let c = -62\/5 - x. Calculate the common denominator of 24 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, l: 5}. Give prob of picking 1 r and 1 l.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2968, 4, -0.06, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/(-6 + 196\/35). Let z be 18753\/15 - 7\/y. What is z rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3234 - 3237. What is the nearest to -2\/5 in g, 4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x**2. Let g(j) = -7*j**2 - 3*j. Let y(o) = 6*o**2 - 24*o**2 + 10*o**2 - o + 9*o**2. Let v(k) = -g(k) + 3*y(k). Determine w(v(z)).\nAnswer: 400*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a4 + 3?\nAnswer: -1a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*k - 42 = 63. Let a = 0.9 + -1. Which is smaller: k or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 f when two letters picked without replacement from ffffrrfff.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 71 - 144. Let f = 73 + r. Suppose f = 12*c - 3355126 - 4204874. What is c rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -43, -252, -837, -1990, -3903, -6768, -10777?\n\"Answer: -32*m**3 + 4*m**2 + 3*m - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1989\/(-119) + 17 + 636\/(-266) + 2. Which is the closest to -0.011? (a) -3\/4 (b) 8 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -499*b - 2*p - 118 = -502*b, -30 = 6*p for b.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 3*y + 23. Suppose -10*a - 93 = 17. Let f be u(a). Calculate the common denominator of ((-1)\/f)\/((-7)\/602) and 21\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*s - 750 = 10*s. Calculate the remainder when 297 is divided by s.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 8. Suppose -j + 0*j = c - 3, z*j - 4*c = 36. Let k(m) = -m**3 + 7*m**2 + 5. Let u be k(7). Which is bigger: u or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*(-440)\/(-99) - -14)\/(-2 - 8\/(-3))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + sqrt(272) + sqrt(17) + -4 + sqrt(17) - (sqrt(17)*-2 + -1)**2 - sqrt(187)\/((1*sqrt(110))\/sqrt(10)).\nAnswer: -73 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, s: 2, p: 3, f: 1, x: 3}. What is prob of sequence jp?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 431, -13, 4, -1 in decreasing order.\nAnswer: 431, 4, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-1*1\/42)\/((-645)\/22145) and 71\/3.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -195 + 503a7?\nAnswer: 50212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2071.\nAnswer: 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 106785, 427139, 961053, 1708521, 2669537, 3844095, 5232189?\n\"Answer: -q**3 + 106786*q**2 + 3*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1524549 = 1524595?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 6 = 5*f. Let i(u) = -u**3 - 3*u**2 + 2*u - 5. Let j be i(-4). Solve 0 = j*b - 9, -4*g + f*b = -6*g + 17 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (820 - 723) + -6 + -4 + -4 + 14?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cci when three letters picked without replacement from {c: 19, i: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20562, 41125, 61688?\nAnswer: 82251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l*l**(-3\/2))*l**3*l*l**2*(l*l**(2\/3))\/l*l*((l**(1\/4)*l)**8)**(-21) assuming l is positive.\nAnswer: l**(-1205\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j*j\/(j**10*j))\/j))\/j*j)\/(j*j*j*j**(-3))*(j**0*j)**(-14\/9) assuming j is positive.\nAnswer: j**(85\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5d + -3a?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: e05 (base 15) to base 6\nAnswer: 22335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 11680 = -29684. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8015 and 315.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus -12.471?\nAnswer: -16.471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 1, 24?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u - 5*u - 12*u**2 + 62*u**2.\nAnswer: 50*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or -1032?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 2*i - 61, -13*u = -8*u - 5*i + 55. Let x(a) = -2*a**2 - 26*a - 3. Let p be x(u). Let m be (5\/(-2) - p)*0\/3. Solve m = -g - g + 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 2\/3 (c) 3\/7 (d) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -178*l**3 - 3*l**2 - 14*l. Let h(k) = 177*k**3 + 2*k**2 + 7*k. Give 2*f(b) + 3*h(b).\nAnswer: 175*b**3 - 7*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(-3\/5))\/(i*i**(-21)*i))\/(i*i**(-17)*(i\/(i\/((i\/(i\/(i*i*i*i**23)))\/i)))\/i*i) assuming i is positive.\nAnswer: i**(58\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.974 + 0.026. Put -4, o, 1 in descending order.\nAnswer: o, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -3*c - 4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 324801 a multiple of 717?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 8\/5 + -2. Let d(z) = z**2 + 15*z + 26. Let w be d(-13). Is w at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 114 - 111. Suppose i*n = -n - 10*n. Solve 5*r = -n*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4*k - 14. Let c be w(-4). Let n(a) = a**3 - 5*a**2 + 3*a - 2. What is n(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*w - 65 = 0, -2*w + 5*w + 35 = b. Is b a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -152 - -155. What is the third derivative of 65976*h**3 - 65847*h**z + 11*h**2 + h - 3*h wrt h?\nAnswer: 774","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**3 + c**3 - 3*c**3)*(5*c**2 - c**2 - 2*c**2) + 2*c**2 + 23*c**5 - 26*c**5 + 39*c**5.\nAnswer: 40*c**5 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 82924220.64 to the nearest 10000.\nAnswer: 82920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 350*s - 23055 + 4505 for s.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -5. Let p = 3 + s. Calculate the least common multiple of 5 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1165 = -458*q + 225*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 1:24 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 39\/(-117)*(-42)\/1 - 5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 4*u - 10. Let d = -272 + 188. Let x = 89 + d. Which is smaller: u or x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - b + 6 = 0. Let s(q) be the first derivative of 3\/4*q**4 + 1\/2*q**2 + q**3 + 1\/5*q**5 + 0*q + b. Find l such that s(l) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-1\/2))\/m**(-5))\/(m\/(m*m**1*m)*m*m\/(m\/((m*m**(1\/3))\/m))*m))\/((m**(-1)*m*(m**(3\/2)\/m)\/m)\/(m**(1\/6)\/m**5)) assuming m is positive.\nAnswer: m**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 621721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.288 + -27568586.\nAnswer: -27568588.288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 27369*l. Let d(n) = -66*n**2 - 2*n. Give d(p(b)).\nAnswer: -49438102626*b**2 - 54738*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*h - 48 - 1056 = 36*h for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -20, 4*f - u - 4*u + 129 = 0. Let k = f - -35. Calculate the highest common divisor of k and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 1. Let f = 2 + -1. Let g be t(f). Suppose 4*s - 65 + 17 = g. Calculate the remainder when s is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a hour in minutes?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -28*k + 227. Let w be m(8). Sort -23, w, -3 in decreasing order.\nAnswer: w, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, l: 4}. Give prob of sequence ll.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 13663521797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**4 - 212250*x**3 - 1273572*x**2 - 2547192*x - 1698144.\nAnswer: 3*(x - 70756)*(x + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*r**2 - 5*r + 122*r**4 + 5*r**3 + 114*r**4 - 226*r**4.\nAnswer: 5*r*(r - 1)*(r + 1)*(2*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 - 11. Suppose -5*v + 8 = -z. Calculate the lowest common multiple of v and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -269.7908121+-5\nAnswer: -274.7908121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -10742064?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 3*o - 14. Is o a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (18\/(-480))\/((-18)\/8). Let n(s) be the second derivative of -1\/6*s**3 + 0 - 2*s + 0*s**5 + 0*s**2 - 1\/8*s**4 + b*s**6. Let n(u) = 0. Calculate u.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 2 + 6*g**2 + 4*g + 2 - 7. Suppose -878 = 1617*j + 7207. Give d(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10458 is divided by 2047?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -2. Let y be (-6 + 5)\/(s\/220). What is the common denominator of 41\/20 and -3 - -1 - (-265)\/y?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6237*q**3*v**2 - 177*q**3*v + q**3 - 6416*q**2*v**2 + 12*q**2 + v**2 wrt q?\nAnswer: 37422*v**2 - 1062*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/4*(521 - -15). Let z = v - -3364\/5. What is k in 3\/5*k**2 - z*k + 8\/5 = 0?\nAnswer: 2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 276 and 53.776?\nAnswer: 14842.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*d + 29 - 73 = -1154. Solve 4 = -d*i - 6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 22. Let o be m(-12). Suppose -3*u + 0 = 12. Let z be (-122490)\/(-25) - u\/o. Round z to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 382283881?\nAnswer: 7, 54611983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 8, e: 2}. What is prob of picking 2 l?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4.5 in -1, -3, 78.299, -0.5, 2\/11, 0.04?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*b + 2*b**2 + 1021 + 63 - 29*b.\nAnswer: 2*b**2 - 54*b + 1084","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.324113 and 0.8?\nAnswer: 0.2592904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/50 and 74\/1353.\nAnswer: 67650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 107520 and 420.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-164212)\/(-6100) - -3*(-2)\/(-75). Let f(b) be the first derivative of 0*b + 19\/2*b**2 - w. Let v(o) = -o. What is v(f(c))?\nAnswer: -19*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2536, -4997, -7458, -9919, -12380?\n\"Answer: -2461*s - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58458005.\nAnswer: 5, 41, 285161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -750 = c - 7*c. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1464171 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/5)\/((-10)\/25).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 2 (c) 1\/3 (d) 27.4 (e) -1\/194\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9898, 9678, 9460, 9244, 9030?\n\"Answer: z**2 - 223*z + 10120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**2 - 29*t + 2. Let j be (3\/2)\/((-5)\/340*-6). What is the units digit of x(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -104*i + 314. Let t be m(3). Let g(c) be the second derivative of 0 + 1\/2*c**t - 11*c. Let z(s) = -s + 4. Calculate 10*g(a) - 2*z(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 29 = m - 0*m, 2*m - 54 = -4*i. Let k = i + -4. Calculate the remainder when 17 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y + 2*y - y)*(109 - 1941 - 146)*(-3*y + 3*y**2 + 0*y**2 + 2*y).\nAnswer: 5934*y**3 - 1978*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 48?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -27*g**3 - 18*g**2 + 18. Let x(c) = c**3 + c**2 - 1. Let h(d) = 6*d - 6. Let j be h(-2). Calculate j*x(m) - k(m).\nAnswer: 9*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 1 = t + 10, 0 = l - 3*t - 7. Suppose -5*u = -3*h + 73, -3*h + 2*u + 38 = l*u. What is the remainder when 29 is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6585\/135 + -16 - (-10)\/45) + -2.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 14) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = 15*y - 4*y. Find the common denominator of 1022\/(-48)*4\/y + -4 and -91\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 7*f**2 + 13*f + 16. Let z(a) = -a**2 - a - 1. Let t(k) = c(k) + 6*z(k). Let v = 1 + -7. Let g be t(v). Solve g*m = -0*m - 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -5*c**3 + 5 + 6*c**3 + 4*c**2 - 5*c - 2 + 7*c. Let f be l(-3). Suppose -f*j + 304 = -2*j. What are the prime factors of j?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1232 - 1242. Is -31 at most l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**4\/9 + 16*j**3\/3 - 328*j**2\/9 + 32*j + 256 = 0. Calculate j.\nAnswer: -2, 6, 8, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/(-2) - -2) + 1. Let s be 2\/x - 0\/1. Let h = -419 - -418. What is the second biggest value in h, s, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u - 17. Let v be l(8). Let z be (-3 + 4 + v)\/(-4). Put -4, -1, z in decreasing order.\nAnswer: z, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 12 = -7 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/3)\/r)**12*(r**(-3)*r)**(-4\/17) assuming r is positive.\nAnswer: r**(-332\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 113 (b) -0.017 (c) -0.5 (d) 150\/17 (e) -3\/7 (f) 2 (g) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 96 = -3*d + 91, 0 = -5*d - 15. Let m(x) = 8*x**2 - 2. What is m(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12332284 is divided by 1567?\nAnswer: 1561","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3128, -3160, -3218, -3314, -3460, -3668, -3950, -4318?\nAnswer: -4784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*i - 55 = 21*i + c, 5*c = -1801*i + 1795*i - 85 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 14. Let h(i) = -6*i - 9. Let o(q) = 5*q + 8. Let z(m) = r*h(m) + 7*o(m). Let a be z(-3). Calculate the highest common factor of 20 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 83. Let f be c(-9). Differentiate -73 - 34 - 15 - f + 14*a - 37 with respect to a.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/5 - 154634*g**2 + 15461900*g - 386535000.\nAnswer: (g - 773070)*(g - 50)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -749, 0.137, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x - 34224 = -x - 10611. Calculate the remainder when x is divided by 58.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 greater than or equal to 151?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1289 and 1233.\nAnswer: 2522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -336*b - 11417. Determine i(-34).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/9)\/((-16)\/24). Let h = -2 - -2. Factor h*b + 0 + u*b**5 + 0*b**2 - 2\/3*b**4 + 0*b**3.\nAnswer: 2*b**4*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21037811?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*u - 16. Let d(f) be the first derivative of -4*f**2 + 2 + 2*f + 4*f**2 - 4*f - f**2. What is d(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.67617 rounded to 3 dps?\nAnswer: -0.676","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.718673 take away 7367.8?\nAnswer: -7368.518673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55481907 or 0?\nAnswer: -55481907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 35 = -4*a, -3*a - 4 = -5*o + 6. Suppose -3*d = -9, -2*x - o*d = -x - 386. Is x a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 961, 976, 981, 970, 937, 876, 781?\n\"Answer: -r**3 + r**2 + 19*r + 942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 520 and 10440.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 420 divide 46832520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -209 - -420. Calculate the remainder when g is divided by 36.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vuvhn. What is prob of sequence nv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 8:50 AM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -22\/3*o**3 - 8\/9*o - 136\/9*o**2 + 0 = 0.\nAnswer: -2, -2\/33, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 8) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*y + 51*y = -15. Put -105, y, 5 in descending order.\nAnswer: 5, y, -105","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46 + (-20 - (-38 - -5))\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13429374 divided by -5.\nAnswer: -13429374\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3 = -7. Let g(q) = q**2 + 8*q - 16. Let m be g(-10). Suppose -20 = -m*a - b*k, -12 = -3*a - 3*k - 3. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25383 - -25428.003. Let w = v + -45. Round w to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 4:23 PM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 19856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.9 and -22.\nAnswer: 19.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 775159?\nAnswer: 4\/775159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 19. Let x = 22.2 - 33.1. Let i = c + x. Which is smaller: i or 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20*c + 55 - 10*c**3 - 19*c - 8*c**3 + 4*c**3 wrt c?\nAnswer: -84*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 62 and 2151059.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 (base 10) in base 5?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -7*x - 14. Suppose 0 = 3*h + 2*j + 21, 4*h + h + 5*j + 35 = 0. What is the tens digit of q(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 701308?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1428 + -1427.6. What is the nearest to z in 5, 2, 340?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 301339 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 479274*m + 11981859. Calculate w(-25).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 5*b - 6. Let p(s) = -s - 1. Determine 6*p(l) + z(l).\nAnswer: -l - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.2, 3, -7336 in decreasing order.\nAnswer: 3, 0.2, -0.3, -7336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + p - 2. Let t(v) = 2*v**2 - 14*v - 3. Let d(n) = t(n) + w(n). Determine d(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u**7\/u*u*u)\/u*u\/u**(1\/9)*u)\/(u\/u**7*u\/u**(-4\/7)) assuming u is positive.\nAnswer: u**(902\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1662, -2, 10\/43, -0.29?\nAnswer: -1662","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 24.9 times -32\nAnswer: -796.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -142 - -138. What is the second smallest value in p, -2, 1\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -98.4 + 98. Let x = 12.77 + -31.77. Which is the nearest to 1\/4? (a) -0.2 (b) j (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 5:00 AM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9870 and 658.\nAnswer: 9870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 1:46 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 3*c + 3. Let r = -60 - -64. Let n be f(r). Suppose -n*q + 33 = 4*q. What is the greatest common factor of 2 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -9*c**2\/2 - 7*c - 32. Let d be j(-1). Find the first derivative of 2*i**d - 3*i**4 - 6*i**2 - i**2 - 22 + 57 wrt i.\nAnswer: -12*i**3 - 10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 659 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -4246 at most -4230?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16175 or 16174?\nAnswer: 16174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 5*y**3 + 4111255*y**2 + 8222495*y + 4111245 = 0?\nAnswer: -822249, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + f**2 + 1. Let n(t) = 2*t**3 - 2*t**2 + 2*t - 2. Calculate 2*h(l) + n(l).\nAnswer: 4*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -6 - (-409 - -271)\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 49 + -52. Let w be y - 4*(1 - 3). Suppose -5*c = 4*t - 16, -5*t + w*c + 65 = -0*t. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 504 and 4527.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5841 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: Collect the terms in -1537*d - 1860*d + 2449*d.\nAnswer: -948*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 - 8*x**2 - x - 33. Let d be i(9). Solve d*l + 9 - 165 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135235 (base 6) to base 8.\nAnswer: 31047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 187084 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 720 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of 0 + 0*s**6 - 1\/2*s**3 + 0*s**2 + 0*s**5 + 0*s**4 - 4*s - 1\/42*s**7. What is the second derivative of z(k) wrt k?\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2020.2261323 to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1692420 (base 11) in base 16?\nAnswer: -2bd5e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2461 a factor of 3858848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/35 - (54117\/3105 - 18)\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*(r*r**(-2\/9)\/r)\/r)\/((r*r\/r**(-4))\/r))\/((r**(3\/4)\/r)\/r**(3\/4)))\/(r**(2\/9)*r**(-8)*(r\/r**2)**(-28)) assuming r is positive.\nAnswer: r**(-211\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 905.\nAnswer: 3620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 42 - -5050?\nAnswer: 5132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003122 rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a (base 13) in base 11?\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of x**5\/60 + x**3\/3 - x**2. Let k(l) = 15*l**2 - 20 - 19*l**2 + 5 + 6. What is -9*g(y) - 2*k(y)?\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5993, 10133, 14273, 18413?\n\"Answer: 4140*s + 1853","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-1)*4\/(-8). Solve 4*j + r - 9 = u, -4*r = 2*j - 0*r - 22 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 w, and 1 n when three letters picked without replacement from wwwwknzkqw.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 - -347\/9. Let g = 142\/3 - 48. Sort 9, n, 1\/3, g.\nAnswer: g, n, 1\/3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1758)\/18)\/(2\/(-6)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 874800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 - 132 = 5*u. Let a be 6\/8 - (-7)\/(-4). Sort -2, a, u, 0 in decreasing order.\nAnswer: u, 0, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -3*j**4\/8 - j**3\/6 - j**2. Is 21 a factor of a(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 652726?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l**2 - l**2 - 4*l**2)*(-300 + 40*l + 10*l + 298) + (-2*l - 2 + 2)*(-l**2 - l**2 + l**2).\nAnswer: 52*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32567, 32568, 32569, 32570, 32571, 32572?\nAnswer: 32573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -12*m + 35. Suppose 20 = 2*a - m*y, -3*a + 3*y - 5*y = 8. Solve 5*r - 4*r - 1 = a for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, j: 2, m: 1}. What is prob of picking 1 m, 1 i, and 2 j?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(4\/7)\/(y\/(y*y**(-2)\/y)))**(-44)*((y**(1\/2))**17)**(8\/5) assuming y is positive.\nAnswer: y**(4216\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**2 + 3*d + 3. Let p(v) = v**2 + 3*v + 4. Let g(y) = -4*l(y) + 3*p(y). Let u(m) = m**2 + m. Determine 2*g(n) + 6*u(n).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*n + 32 = n, 0 = 4*b - 5*n - 124. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 367479 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-1149)\/21448)\/((-2574)\/(-273))\nAnswer: -1\/176","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 s when four letters picked without replacement from vsddssvddd?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -10830*n**2 + 3*n - 2. Let d(s) = -s. Give f(d(w)).\nAnswer: -10830*w**2 - 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1401 - 826 = 118*s - 457 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times -0.060016?\nAnswer: -0.480128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 7:12 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + -23. Suppose 0 = -u - 0*u + d*f - 35, 2*f = -3*u - 145. Find the common denominator of -32\/7 and (-56)\/u - (-4)\/(-5).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -10, -0.5, -27, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 20 = 41*l - 45*l, -l = -3*k - 5. Is -1\/1749 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - (-13 - -3) - -12) + 0 + -6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1350*f**3 - 16716*f**3 - 30*f**2 + 30*f**2.\nAnswer: -15366*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 20222\nAnswer: 101110","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -5*t. Let y(b) = 13*b**3 - b**2 - b. Let d be y(-1). Let h = d - -18. Let j(m) = -10*m + h*m + 6*m. What is j(o(c))?\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.209 (b) 82 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8056, -16139, -24282, -32515, -40868?\n\"Answer: -5*d**3 - 8048*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 31\/2 of a millimeter?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -567271, -567274, -567279, -567286, -567295?\nAnswer: -567306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -74137 + 129256. Let o = u - 495259\/9. Let q = -90 + o. Which is the third smallest value? (a) 0.2 (b) q (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 463928, 463931, 463934, 463937, 463940, 463943?\nAnswer: 463946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 7*f = 0. Let v be (-1 - f)*(1 - 6). Suppose -4*o + 12 = -2*k, 2*o = v*k + 6*o - 40. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 302736 and 2352.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000654711603 rounded to 7 dps?\nAnswer: -0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 204585936 and 6433520.\nAnswer: 1022929680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6279 divided by -897.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 168978 to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-5) - (-2)\/10. Suppose n - 4*n + 42 = j. Let k(u) = -5*u - 26. Calculate the remainder when k(-13) is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(132)\/sqrt(3) + sqrt(77)\/(sqrt(14)\/sqrt(2)*4).\nAnswer: -7*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, k: 4}. Give prob of picking 2 i and 1 k.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -6*m**5 - 11*m**2. Let y(s) = 17*s**5 + 32*s**2. Let j(d) = 7*f(d) + 2*y(d). Find the third derivative of j(c) wrt c.\nAnswer: -480*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z**2 + 5*z - 12. Let u(r) = -3*r**2 + 4*r - 9. Suppose -v + 4*x = 19, -5*v + 5 = -2*x + 7*x. Let o(q) = v*u(q) + 2*j(q). Determine o(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8541 - 8561. Which is the second smallest value? (a) 0 (b) 39 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -8*z**2 - 64*z - 40. What is b(-7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8\/234 + 107\/1391\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1035463 (base 7) to base 9.\nAnswer: -212847","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -141, -612, -1083, -1554, -2025?\nAnswer: -2496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 87, 66, 37, 6, -21?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-21238)\/555)\/82)\/(4\/30).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 32444, 32437, 32408, 32345, 32236, 32069, 31832?\n\"Answer: -2*k**3 + k**2 + 4*k + 32441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*l = -42*l + 64*l + 286 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, -34, 0, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -9.393*-486\nAnswer: 4564.998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n = -25*n + 7670. Does 30 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2297021?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -235, -958, -2151, -3802, -5899, -8430?\nAnswer: -11383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 255002696*f**3 - 206140909*f wrt f?\nAnswer: 1530016176*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than 3\/3496?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**9*g**(-3\/2))\/(g*g*g**(-1\/4))**(-13)*((g\/(((g*g**(-8)\/g)\/g*g)\/g))\/g**8)\/(g**1)**(-48) assuming g is positive.\nAnswer: g**(329\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o. Let q(z) = -4*z**3 + 2*z - 4. Let m be 8\/(-5) - (-4)\/(-10). Let h(k) = m*p(k) - q(k). What is the derivative of h(a) wrt a?\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2845219849 to the nearest integer?\nAnswer: 1417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a - 15*a - 56 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8244 is divided by 2713?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and 0.0044165.\nAnswer: -1.9955835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -689*f + 41419. What is x(60)?\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(4\/8 + 0). Let l = 0.4 - 5.4. Suppose 5*w = 2*w - 3. Sort l, f, w in decreasing order.\nAnswer: f, w, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4\/469999097 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*j - 31934 = 10*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16154*x**4 - x**3 - 2*x**2 + 2662*x - 33?\nAnswer: 193848*x**2 - 6*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (30\/6 + 7)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1322?\nAnswer: 2, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -f**8\/336 - f**7\/210 + f**6\/60 + 38*f**2. Factor a(v).\nAnswer: -v**3*(v - 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)\/(sqrt(4)*2) - sqrt(22)\/sqrt(176))**2.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 5*m = -11, 4*m = 2*y + 67 - 65 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m + 7. Let n be z(-4). Suppose -y - 4 + 15 = 0. Do n and y have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**6\/120 + r**5\/60 + 5*r**3\/6 - 3*r**2 - 9. Let x be l(0). Solve 5*j = -5*c - 35, -x*j - 29 = 4*c + 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 2*u - 142 = 0. Calculate the lowest common multiple of 22 and u\/(-4) + 6\/24.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vxvx when four letters picked without replacement from vxxv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 902.\nAnswer: -5\/902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2853 and 112209?\nAnswer: 106710759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 44\/365 and 58\/5?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/((-128)\/(-6)))\/(-32*34\/(-136)).\nAnswer: -3\/64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of -9*x**5\/20 + 74*x**3\/3 - 83. Let j(r) be the third derivative of t(r). Let z(i) = 7*i. Determine z(j(v)).\nAnswer: -378*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -548033, -1096019, -1644005, -2191991, -2739977, -3287963?\nAnswer: -3835949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46747844 and 1716?\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1369279567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*d*p**3*v**3 - d*p**2*v**2 - 54*d*p**2*v - 2*p**3*v - p**2*v**2 + 2*p*v**3 wrt p.\nAnswer: -42*d*v**3 - 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 86 + -95. Let l be (-105)\/n*2\/(-21) + 1. What is the nearest to 0.1 in -4, l, -1\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320 = -7*j + 11*j. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.5838447 micrometers?\nAnswer: 0.0005838447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 147, 146, 145, 144, 143, 142?\n\"Answer: -k + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/84*-2*30\/(-4)*2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -7310001*j**3 - 2*j**2 - j. Let b be 9\/(-18) + (-2)\/4. Let i be k(b). What is i rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 37?\nAnswer: -3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 6150*n - 2633. Let l(w) = -12289*w + 5269. Let b(y) = -5*f(y) - 2*l(y). Find the first derivative of b(i) wrt i.\nAnswer: -6172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -7, -13, -19, -25, -31, -37?\n\"Answer: -6*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -19*d - 1. Let z be q(-1). Let j(f) = -f + z - 18. Let o(b) = 3*b + 4 + 1 - 6 + 1. What is o(j(r))?\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -12146*z. Let o(a) = -3*a. Determine d(o(b)).\nAnswer: 36438*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -72.5924895 rounded to 1 decimal place?\nAnswer: -72.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.2 and 4657182.\nAnswer: -10245800.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**3 - 6*v**4 - 6 + 3*v - 18*v**2 + 7*v**4 + 8 as n*v**4 + k + c*v**2 + u*v + w*v**3 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.102 + -4.202. Let u = f + 6.1. Let q = 922\/7 + -132. What is the third biggest value in q, 1\/2, u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1030 is divided by 86.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -72 and -172575.7.\nAnswer: -172647.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 96 - 152. Let r(p) = p**3 + 7*p**2 + 4*p + 1. Let f be r(-7). Let o = f - t. Does 14 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 220*c - 1349*c + 13548 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 420868?\nAnswer: 420867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5384.766 millimeters?\nAnswer: 5384766000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -27797\/3 - -9267. Let v = -2 - -1. Which is the smallest value? (a) 5 (b) v (c) 1\/6 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 55 - 51. Suppose f*m + x - 11 = 0, 5*m - 2 - 38 = 4*x. Solve -3*u - 2*u - 4*d - 21 = 0, -5*u - 29 = -m*d for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -163*a**3 + 26*a**3 - 35*a**3.\nAnswer: -172*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -299 + 4?\nAnswer: -295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 70075970 to the nearest integer?\nAnswer: 8371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, y: 4}. What is prob of sequence wy?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4 + 0*q**2 - 6*q + 2*q**2 - q**2. What is h(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -43 + 59 - 104*j - 73*j + 176*j. Determine u(-17).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-11)*1\/1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1221101110 - 12?\nAnswer: 1221101021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of q**5\/80 - q**4\/16 - 2*q**2 + 9. Let t(r) be the second derivative of g(r). Factor t(k).\nAnswer: 3*k*(k - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 0*c + c**2 + 5*c - 12*c + 9. Let l be p(6). Calculate the least common multiple of 14 and 30\/3 + 3 + l.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11.6 and 15.\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 + 18*s**2 - s - 14. Calculate h(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 25\/8 of a second?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(180)\/sqrt(5))\/(sqrt(24)\/(sqrt(10)\/sqrt(5))) - (-2 + -1 + (sqrt(6)\/sqrt(2)*1 - sqrt(3))))**2.\nAnswer: 12*sqrt(3) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/9 and -103\/312?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -930, -1106, -1416, -1860, -2438, -3150?\n\"Answer: -67*l**2 + 25*l - 888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + j**2 + j - 1. Let k be 548 + (26\/7 - (-2)\/7). Let w(a) = 3*a**3 + 6*a - 282 - 278 + 7*a**2 + k. Determine 6*b(l) - w(l).\nAnswer: 3*l**3 - l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 44*c - 106. Let x(h) = 23*h - 54. Let t(f) = 6*b(f) - 11*x(f). Let q be t(5). Solve -2*i + 2 = a + 3*a, -a - q = 5*i for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2223, 17837, 60241, 142845, 279059, 482293, 765957, 1143461?\nAnswer: 1628215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5726915577299 - 26\nAnswer: 5726915577273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3764 is divided by 1240.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -30.16989 and 53.\nAnswer: -1599.00417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 2*q + 21 = 0, 11899*a - 11900*a - 2*q - 1 = 0 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4, -68, -166, -292, -440?\n\"Answer: x**3 - 23*x**2 - 2*x + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 6*k + 6 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 3487 and 3487 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5317*m - 78*m**2 - 5317*m + m**2 + 0*m**2 + 10*m**2 + (-2 + 2 - 1)*(-m**2 + 0*m**2 + 0*m**2).\nAnswer: -66*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -17. Let z be (-16)\/6 + 15\/(-45). Sort 4, z, h in decreasing order.\nAnswer: 4, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.2203673 + -3.\nAnswer: -4.2203673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -1066*t**2 + 44779*t - 299. What is j(42)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/103 and 15\/4?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 727278689 to the nearest integer?\nAnswer: 26968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3 = -3*f, 3*t + f = 4*t - 3. What is the remainder when 45 is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52\/9 - -6. Which is greater: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2006448 to the nearest integer?\nAnswer: 1416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -498*i + 4793 = 57*i + 13912 - 60179 for i.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 363, -1523, -2, 1.8 in descending order.\nAnswer: 363, 1.8, -2, -1523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 3*p - p)*(453*p**3 - 31 + 9*p**2 - 454*p**3 + 16 - 2*p).\nAnswer: -p**4 + 9*p**3 - 2*p**2 - 15*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7 - 3 - (2 + 0). Suppose l*v = m + 1, -4*m - 4*v + 11 = -3*m. Suppose 8*f - 15 = m*f. Solve n = -f*n - 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 7*v + 5. Let s be n(-7). Suppose s*r - 165 = -0*r. Let y(w) = -2*w**2 - 18*w + 1. What is the remainder when r is divided by y(-8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 54 and 1392?\nAnswer: 12528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -10\/13, 973, -200, -1 in descending order.\nAnswer: 973, -10\/13, -1, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 2*v - 4*g + 118, v = -4*g - 18. Let w = v - -64. Suppose 5*i - w = -2*p, -5 + 53 = 2*p - 4*i. What is the remainder when 58 is divided by p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2 + sqrt(1125) + sqrt(1125)) - (0 + sqrt(1125)*2 + sqrt(1125)))**2.\nAnswer: -5400*sqrt(5) + 253269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/((r\/r**(-6))\/r)))**(-27)\/((((r**(-6)*r)\/r)\/r)\/r*r\/r**(2\/31)) assuming r is positive.\nAnswer: r**(-4803\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, 1, -5, -2, -4 in descending order.\nAnswer: 1, 3\/8, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 8463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 872*v - 872*v + v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - ((-432)\/24 + 43)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -246177, -492424, -738661, -984882, -1231081?\n\"Answer: k**3 - k**2 - 246251*k + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03366409796 to six decimal places.\nAnswer: 0.033664","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-32)\/4 + 522\/2. Differentiate v*g - 261 + 87 - 83 with respect to g.\nAnswer: 253","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -3*v**5\/10 + v**3\/3 - 3*v**2\/2 - 21*v. Find the second derivative of u(f) wrt f.\nAnswer: -36*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8963543 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -54*w - 13. Let a be u(-9). Let y = 2 + -1. Find the common denominator of a\/(-132) - (y - -2) and -97\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 156553, 159896, 163239, 166582?\nAnswer: 169925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 1004720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -339 = -m - 133. Let d = 874 - 348. Suppose -12*i + m = -d. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/7)\/x*x**(-5\/3)\/x)\/(x**(4\/5)\/(x*x**2*x*x))*((x\/x**(1\/4)*x)\/(x*x**(5\/2)))\/(x**(-1\/2)*x**(1\/11)) assuming x is positive.\nAnswer: x**(-5051\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - 2*z + 10, -65*k + 17*z = 12*z - 50 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 677 - 653. What is the lowest common multiple of q and 105?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 208895.\nAnswer: 5, 41, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(228) + 1*sqrt(228))*-6 - (sqrt(228) + (-1*sqrt(228)*4 - sqrt(228) - sqrt(228)) + sqrt(228)))\/((sqrt(588) + sqrt(588)*-2)*3))**2.\nAnswer: 1216\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b - 1. Let d = 539 - 540. Let g(l) = -4*l**2 - 3*l - 3. Determine d*g(a) + 3*n(a).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7b8 - -2c0?\nAnswer: a88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*p = 56*p + 3 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l - 7 - 2*l + 0*l + 5*l. Let u(v) = 2*v - 6. Let s be u(6). Calculate k(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (3 - (-2 - -5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -371.9 bigger than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 - 2*c. Let n be k(-3). Let r = 0.26 + -0.06. What is the nearest to n in 2, 4, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 27*q**2 + 297*q + 44. What are the prime factors of n(16)?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 times 37.03877\nAnswer: -2.2223262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2952)\/72*((-36)\/(-4))\/9?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**2 - 2*c**2 - 34*c**4 + 2*c**2 + 7*c**3 + c + 36*c**4 as j + x*c**4 + f*c + m*c**2 + y*c**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d + 2. Suppose 5*i - 2*c = -29 - 11, -3*i - c - 35 = 0. Let f be v(i). Does 4 divide (-6)\/f*(0 + 75)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 271127 to the power of 1\/2, to the nearest integer?\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/((-84)\/(-32))*30\/(-280)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 708780214*i**3*l + 10681*i*l - i - 13015*l wrt i?\nAnswer: 4252681284*i*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-2))\/(1\/7). Let l(d) = -5*d - 7. Is l(f) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1735918800 a multiple of 350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34*g**2 + 7*g**2 + 10*g**2 + g**4 + 0*g**4 - 3*g**4 + 2*g**4 + (-4 + 5 + 1)*(-3*g**4 + 2*g**4 + 3*g**4) + 3*g**4 + 4*g**4 + 7*g**4.\nAnswer: 18*g**4 - 17*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2\/2 + 299*z.\nAnswer: -z*(z - 598)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjxxxxxxxxxjxjxj. What is prob of sequence xxj?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*d + 41*d = -338. Let r(h) = -21*h + 17. Let s(g) = 5*g - 4. Calculate d*s(j) - 6*r(j).\nAnswer: -4*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 13890550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2, -9, -20, -31, -42, -53?\n\"Answer: -11*v + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + u + 8 = 0. Let s be ((-24)\/(-14))\/u*1*7. Determine z so that 0*z + 4\/3*z**4 - 8\/3*z**2 + 4\/3 + 0*z**s = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1086711.7 to the nearest ten thousand.\nAnswer: 1090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3632 divided by 4?\nAnswer: -908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 152, -25, 0.342?\nAnswer: 0.342","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2. Let f(h) = 7*h**2 - 5*h - 5. Let v(g) = 4*g**2 - 3*g - 3. Let n(w) = -3*f(w) + 5*v(w). Calculate u(n(c)).\nAnswer: c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 86534104 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p**3 - 54*p**2 - 687*p - 10. Is 42 a factor of x(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a hour?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-224)\/(-140))\/(2\/40*-2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -9.14.\nAnswer: -0.914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*(-3 + 35\/10). Suppose 5*k + 3*p = 103, l*k = 5*k - 5*p - 35. Solve -k = -r - 4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 539\/102 + 2\/(-12) + (-242)\/2057?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*u**2 + 922*u - 74*u**2 - 83*u**2 - 139*u**2 - 200*u wrt u.\nAnswer: -520","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3424 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.62 + -0.6. Let b = u + 0.18. Is b <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, q: 3, n: 2, l: 3, h: 2, w: 3}. Give prob of picking 1 h, 1 n, 1 l, and 1 j.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 9:52 PM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 293*z + 111. Let v(q) = -q - 1. Let f(r) = -t(r) - 2*v(r). Is f(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 244, 238, 232, 226?\n\"Answer: -6*f + 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -149*v**8\/14 + v**7\/105 + v**5\/30 + 3385*v**4\/24 - v**3\/3 - 5*v**2 - 512*v - 2. Find the third derivative of g(d) wrt d.\nAnswer: -214560*d**2 + 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/91, -0.5, 4\/5, 1581, 29 in descending order.\nAnswer: 1581, 29, 4\/5, 1\/91, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 351\/36 - -4)*(-38)\/(-57)?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4113799.\nAnswer: 257, 16007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -216 (base 9) in base 2?\nAnswer: -10110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1347?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 2*f + 201 = 0, 0 = r + 3*r - 3*f - 285. List the prime factors of r.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1905 and 155?\nAnswer: 59055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n**3 - 3*n**2 + 3*n - 2. What is b(3)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 5\/((-50)\/255)*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c**2 - 4*c**2 + 5*c**2)*(-60 + 24 - 61) + (-6 + 1 + 2)*(2*c**2 + 2*c**2 - 2*c**2) to the form v*c**2 + x*c + r and give v.\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 1 + 12 + 44. What is the greatest common factor of j and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**2 + 18*i + 20. Let w(c) = -3*c**2 + 17*c + 21. Let u(v) = -3*o(v) + 2*w(v). Is u(9) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2094\/(-1 + (-24)\/(-8)) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -2*i - 432, -5*i - 640 = -2*i + 2*p. Round i to the nearest 10.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*g + 4*g + 0*g)*(-3*g - g + g) + 3*g**2 - g**2 + 0*g**2)*(-2*g**3 + 2 - 2).\nAnswer: 8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 216?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 34)\/4 - 2\/(-1). Let g be (y\/(36\/75))\/(2\/(-2480)). Suppose -17*p + 16*p = -g. Round p to the nearest one thousand.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 759640*p - 17471718. Give m(23).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 275324366497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 3*s = p - 503093, s = p - 167699. Let i = s + 32697. Round i to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -8487, 4, -1 in increasing order.\nAnswer: -8487, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 3 - 4)*(-5*z**2 - 29 + 30 - 6*z**2 + (2*z + 3*z - 6*z)*(5 - z - 5)) in the form c*z + n + k*z**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 2\/11*y**5 + 34\/11*y**3 - 14\/11*y**4 - 34\/11*y**2 + 12\/11*y + 0 = 0.\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3)*(i + 0 + 0)*(146*i - 179*i**2 - 146*i).\nAnswer: -537*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -504 + 501. Which is the closest to 1? (a) -1 (b) 0.13 (c) -0.2 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*r + 17138 = 800*r + 69*r for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50 - 48. Suppose -r = -2*s - 0 - 2, -o*r + 11 = 3*s. Suppose -2 = -0*a - a + 2*x, 2*x + 18 = 5*a. Solve a - 24 = -r*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 38*b**3 - 5*b**2 - 5*b + 65. Let z(s) = -s**2 - s - 1. Let d = -162 + 163. Let r(h) = d*j(h) - 5*z(h). Differentiate r(w) with respect to w.\nAnswer: 114*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31234 divided by 14.\nAnswer: -2231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 7*c**2 + 8*c + 9. Suppose -5*z + 0*z = 40. Let t be i(z). Put 2, t, -3 in ascending order.\nAnswer: -3, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 120 = 30. Let h = -25 - u. What is the greatest common divisor of 70 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.7 plus -23?\nAnswer: -8.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 158 - -12\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 9*n + 2*n + 2 - 8*n + 23*n to s*n + u and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**3 + 3*s**2 - 2*s + 3. Let o be -7*((-6)\/(-7) + 0). Let t = -6 - o. Suppose 0 = d - t + 4. Calculate w(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mygwddgggw. Give prob of sequence gwg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 558\/(-81)*(-3)\/(-4). Let q = -229\/42 - d. Let t = 1 - 1.2. Which is the nearest to -1\/4? (a) t (b) q (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u + 21 = 16*u. Suppose -4*k + 22 = v, 3*v - 22 = -4*k + 4. Solve 3*b + 2*x = -11, -u = v*b - 4*x - 3 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -345 (base 14) to base 3\nAnswer: -220001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -18.99942. What is m rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 48444, 48446, 48448?\n\"Answer: 2*m + 48442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-34))\/((-96)\/1632).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 - 72. Let w = y - -47.1. Let q be 3\/(-9)*6\/8. What is the third smallest value in w, q, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 PM and 5:11 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**2 + 556*q - 1632 = 0.\nAnswer: 3, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -0.144.\nAnswer: -0.0288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1685561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2211 or 2210?\nAnswer: 2211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a decade?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*j**4 - 46*j**3 - 7*j**2 - 2976*j - 4 wrt j.\nAnswer: -156*j**2 - 276*j - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 13*s**2 - 44*s. Give z(-11).\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -298662859 and 0.3.\nAnswer: -89598857.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -5. Let w be -2 + (3 + z - 2). Suppose t + 2*t - 24 = w. Calculate the lowest common multiple of 7 and t.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 4 + 12\/(-6). Suppose p + c*p = -4*f + 304, -5*p = 5. What is the highest common divisor of 7 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30032 + -341?\nAnswer: 24141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 20*n**3 + 1015*n**2 + 745*n - 250 = 0.\nAnswer: -50, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -12*a**2. Let p(q) = -4*q - 20. Let w be p(-6). Suppose -17 = -w*m - 5*c, m - 6*c + 2*c + 1 = 0. Let f(x) = 0*x + m*x + 3*x - 3*x. Give v(f(k)).\nAnswer: -108*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*((-1)\/(-66))\/(672\/1232).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 577.5235 minutes in milliseconds?\nAnswer: 34651410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - i + 25 = 0. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**4 + 314*j**2 - 449*j?\nAnswer: -24*j**2 + 628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -145 in descending order.\nAnswer: 4, -3, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(68) + 2 - -2*sqrt(68)*-3) + (4 + -1 + 2 + sqrt(68) + 1)**2)*-3.\nAnswer: -330 - 42*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -106991 - -5?\nAnswer: -106987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2758 - 115490781188\nAnswer: -115490778430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3302530034?\nAnswer: 2, 29, 733, 77681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1679?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81740.\nAnswer: 2, 5, 61, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 422712 and 36.\nAnswer: 422712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 4690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 58268702?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 217167388.999953 - 217167479. Let q = -90 - f. Round q to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/315 and 46\/315?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 31.70632612 to two decimal places.\nAnswer: 31.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/10, 2\/3, 10, -0.4, -2\/7?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-43 - 3*t + 0*t + 41)*(5 + 6 - 6).\nAnswer: -15*t - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11359 and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -1436*c - 114963. Determine s(-80).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.019, 25.9, 4\/11 in ascending order.\nAnswer: -0.019, 4\/11, 25.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**2 - y. Let a(c) = c**2 + 9*c - 3. Let r(x) = a(x) - 2*z(x). What is r(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 + 2409. Which is smaller: z or 4879\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1607 or -1600?\nAnswer: -1607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n - 18*n = 16*n - 585. Calculate the smallest common multiple of 2080 and n.\nAnswer: 6240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y + 3*a - 3 + 20, -a = y - 1 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1034*s**2 + 2072*s**2 - 33*s**3 - 1038*s**2.\nAnswer: -33*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/398660 and 33\/996650.\nAnswer: 1993300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a microgram in nanograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 42 - 10. Let a = 17 + m. Is 35 a factor of 100\/a*42\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*o + 4*q, 5*o - 65 = -q - 6. Suppose 7*p - o*p = -155. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + ((-9)\/3 - 0). Let s = -6.1 - -2.1. What is the nearest to 2 in n, 5\/3, s?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 1 (c) -7 (d) -5 (e) -2\/29 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 0*w**3 - 2\/3*w**4 + 9 + 4*w + 3*w**2. Let b(p) be the first derivative of s(p). What is the first derivative of b(y) wrt y?\nAnswer: -16*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233592589 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(17\/3)\/(l**(-5\/8)\/l*l))\/(l**(-6))**(4\/3) assuming l is positive.\nAnswer: l**(343\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 2. Suppose -272*a - 270*a = -545*a + 3. Let r(g) = g**2 - 1. What is a*x(n) - 6*r(n)?\nAnswer: -7*n**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 590.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in -11, 3, 23, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8a (base 16) to base 2\nAnswer: -10001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 14 = -11*x. Suppose 10*c - 68 - 502 = 0. Let j = c - 46. Solve -1 - j = x*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10232331201 (base 4) to base 3.\nAnswer: 2100001020100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 5*j - 15, 2*u + 4*j = -30 - 0. Suppose 12*h - 48 = 15*h. Calculate the remainder when 11 is divided by (-30)\/u + h\/56.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 4*q**3 - 1 + 2 + 18 as n*q + d*q**2 + o + x*q**3 and give o.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 10648620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 76*-3*(-1)\/6?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 49 = 959. Let l = t + 315. Is 19 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68 - -22.5. Let p = g + 45. Sort 4\/5, p, -3, 4.\nAnswer: -3, p, 4\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50 + -5)\/(-3*3 + 4800\/640)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k + 17. Let t be g(-4). Suppose -3*w + 8 = h - 6, 2*h + 5*w = 24. Suppose h = 2*v - 4*r + 4, -t*v - 4*r + 23 = 0. Solve -v*n = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -7*l + 67. Determine r(-8).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-36)\/(-9)*(-2)\/2. Let v be 46\/14 - k\/(-14). Solve -5*h = -v*i + 25, -3*i + i + 4*h = -18 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 9455*a + 680775. Determine v(-72).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10782\/11 - -980. Which is the closest to 0.1? (a) 14 (b) -0.1 (c) p (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - (-2 + 2)\/(-1). Suppose -16 = 4*x, x = 2*q + m*x. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29250900.\nAnswer: 2, 3, 5, 7, 4643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-272*h - 2 - 274*h + 547*h)*(-h**4 + 3*h**4 + 0*h**4).\nAnswer: 2*h**5 - 4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1866 by -4.\nAnswer: -933\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77394?\nAnswer: 2, 3, 12899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of j**6\/120 + 8*j**5\/15 - 11*j**4\/6 + 28*j**3\/3 + 5*j**2 - 1. What are the prime factors of f(-33)?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -576\/65 - -110\/13. Put -2\/9, t, -4, -0.8, 4 in descending order.\nAnswer: 4, -2\/9, t, -0.8, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9678947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5405120147 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 114 + 231. Suppose -5*y - 26 = z. Let k be -9 + 8\/(-1 - 0). Which is bigger: y or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 2*f**2 - 17*f - 73*f + 26 - 15.\nAnswer: 2*f**2 - 90*f + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2246, -3682, -4296, -4088, -3058, -1206?\nAnswer: 1468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -13339*i**3 + 6*i**2 + 5*i - 7. Is g(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 742367 and 1784?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18316\/93 at least as big as 196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/7*j**4 + 0*j + 2\/7*j**3 + 0*j**2.\nAnswer: 2*j**3*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + (16 - 2 - 61)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.1, -0.093, 2\/203 in decreasing order.\nAnswer: 1.1, 2\/203, -0.093","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*sqrt(20).\nAnswer: 4 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 144 (base 8) to base 5\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -163*h*t**5 + 4*h*t**4 - 2157*h*t wrt t?\nAnswer: -3260*h*t**3 + 48*h*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -74321412*f**3*l**3*m**2 + 2*f**2*m - 682*f*l**3 - 4*f*l**2*m**2 - 704*f*m**2 wrt f?\nAnswer: -445928472*l**3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 12*c - 20. Let v(t) = -t**2 + 6*t + 15. Let p be v(9). Let b be d(p). Is ((-411)\/(-9))\/(2 - b\/(-84)) 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 88714945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(152)*-6)\/((-1*sqrt(54))\/((-1*sqrt(6))\/sqrt(2))).\nAnswer: 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v - 1. Let g(k) = -2*k. Determine 5*g(b) + 4*n(b).\nAnswer: -2*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2. Let k(b) = 278671*b**2. What is k(y(h))?\nAnswer: 278671*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 65*m + 4. Let h be g(9). Suppose 9*i - 724 = -166. What is the greatest common factor of i and h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*x - 22*x + 39*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (128\/12)\/(2\/6). Let r = -32 + t. Suppose r = 8*z - 7*z - 1. Solve g - 2 = -z for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -635*n**2 + 3*n - 14. Let c be k(-3). What is the tens digit of (-12)\/54 - c\/(-27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122227 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1357167 (base 9) to base 14.\nAnswer: -156154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 7\/3536803?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -360902, -360901, -360900, -360899, -360898?\nAnswer: -360897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 6:14 AM?\nAnswer: 11:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p + 12. Let j be x(5). Suppose -3*o - 3*q + 46 = q, j = -o + 3*q. Suppose -15*c = -10*c - o. Solve 0 = 3*h + c*h + 20 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + -20 + 7 - (5 - 0)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18132376 is divided by 238583.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.2854844 to 0 dps.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1052 + -1056.77. Let o = -0.23 + v. What is the nearest to 2\/3 in -0.3, o, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -106\/7. Let s = 1731 - 1456.1. Let z = s - 275. What is the nearest to 1\/3 in 1\/2, z, g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g - 195*g**3 - 199*g**3 + 586*g**3 - 190*g**3 - 50*g.\nAnswer: 2*g**3 - 53*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 1 - 36*j**2 + 0 - 5*j**2 to z*j**2 + k + h*j and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 38, 249, 522, 875, 1326?\n\"Answer: 3*p**3 + 13*p**2 + 151*p - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 499507522.\nAnswer: 2, 43, 5808227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a centimeter in millimeters?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18412*m - 9234*m - 9218*m - 1680 for m.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 37918461?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 21137174 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 589943484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/178525 > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*s - 81*s + 2 + 131 + 2*s**4 + 45*s to the form m*s**2 + k + u*s**3 + w*s + v*s**4 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 228 - 130. Let s = z + -98.00061. What is s rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 73284, 73283, 73282, 73281, 73280?\n\"Answer: -l + 73285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 11:38 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 239\/2 + -120. Let j = -2.04 + 0.04. Which is the closest to h? (a) j (b) -1\/10 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 1 - 4*b + 5 + 10*b**2 + b**3 + 0*b**3 + b. Let a be s(-5). Let t = a + -130. Does 2 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*(-3 + 55\/25). What is the common denominator of -139\/30 and r + (-7)\/((-1960)\/1043)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -12 + (4 - -5) + 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 plus -0.0614681729?\nAnswer: -8.0614681729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -138 + 137.99256. Round q to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - c - 1. Let l(q) = -q - 5. Let o be l(0). Let f(a) = -5 + 2 + 5*a**2 - 3*a - 18*a**2 + 11*a**2. What is o*f(b) + 15*w(b)?\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 171 and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -8*k**2 - 120*k + 7. Let g be x(-15). Let v(s) = -7*s + 5. What is v(g)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -141?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -5*b + 20 - 11*b**2 - b**3 - 42 - b**2. What is the units digit of h(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3317459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1516024 or -1516022?\nAnswer: -1516024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8096*t**4 - t**2 - 4*t - 42282 wrt t.\nAnswer: 32384*t**3 - 2*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + 18 + 5 + 11 + -50?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b3 + 5?\nAnswer: b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9 minus -77713605180?\nAnswer: 77713605178.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 217684437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 3:21 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from snnttybsx. What is prob of sequence txyn?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14378 by 14378.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**2 + 4*w**2 - 2*w**2 + (3*w + w - 3*w)*(-w - 2*w + w) + 5*w**2 + 0*w**2 - 4*w**2 - 2*w**2 + 1 - 1 - w - 132 - 9*w**2 + 132.\nAnswer: -13*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -8 - ((1 - 0) + -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.8 - 52.9. Round x to zero dps.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 0*o. Let u(r) = 2*r + 6*r**3 - 5*r + o*r. Let b(v) = 2*v**3 - v. Suppose -7 = -2*t + 7. What is t*b(y) - 2*u(y)?\nAnswer: 2*y**3 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 20 = 3*j. Suppose -1021 = -j*a - 151. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 128 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 6*x**2 + 57*x - 412. Is 7 a factor of j(27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 2*g - 2*n, 3*g - 10585*n - 12 = -10584*n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 3*l - 16 - 2, -4*l = 5*b - 14. Let y = -2 - -5. Suppose -3*f = -i + y, -b*i + 2*i - 2*f + 40 = 0. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 + 4*m**2 + 2*m**2)*(-1736*m**2 - 20734*m + 20734*m).\nAnswer: -6944*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5768226 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -196.957 times -84?\nAnswer: 16544.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 + -20 + (8 - 8 - (-3 + -38 + 4)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 - -52. Suppose b + 50 = 122. What is the remainder when b is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 0 + 3*g - 1\/6*g**3 - 1\/12*g**4 + 2*g**2. What is the units digit of l(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 + 55 = -a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 69?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8565035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*g + 6402200 = -6*g. Round g to the nearest ten thousand.\nAnswer: 460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.18, 1\/4, -11681 in descending order.\nAnswer: 1\/4, -0.18, -11681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 8:02 AM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -43143301 - 1?\nAnswer: -43143302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/(-46))\/(-4))\/(((-12)\/84)\/((-33)\/231))?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 0. Let f = 31.5 + -24. Let q = 7.1 - f. What is the closest to 1 in q, -0.1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1885370665?\nAnswer: 5, 19, 59, 336373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24332, 53037, 90514, 141149, 209328, 299437, 415862, 562989?\nAnswer: 745204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.71763, 11, -30.7 in decreasing order.\nAnswer: 11, 0.71763, -30.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20863795*b*g*n - 4*b*g + 5*g*n - g + 4*n - 2859878 wrt b.\nAnswer: 20863795*g*n - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((((-1008)\/18)\/28)\/(-6))\/(4*6\/1584)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 15) to base 5\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 10 = 4*v + s, 17 = -5*v + 2*s. Let x be 1\/v + (-56)\/84. Which is the closest to 0? (a) x (b) 5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**5 - 72*o**4 - 75*o**3.\nAnswer: 3*o**3*(o - 25)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*n**6 + 3 - 14 - 10*n**2 + 11 wrt n?\nAnswer: 2280*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w + 1. Let k be v(5). Suppose t = -0*t - 5*x - 6, 3*x + k = 0. Suppose -t*r + 6 + 10 = 0. Solve q - 2*l = -2, r = q - 3*l + 5 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fvvi when four letters picked without replacement from rihvvhhirwfir.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 642 times 6?\nAnswer: 3852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 129088 = -5*f, -26454 = -f - 5*d - 614. What are the prime factors of f?\nAnswer: 2, 5, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 24*q + 50. Is s(-20) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 13*x**2 + 9*x + 117. Determine z(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t**2 - 48*t - 2 - 3*t**2 + 50*t)*(-2 - 4 + 4) to the form q*t + r*t**2 + z and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**8*q*q)\/q*(q\/q**(3\/13))\/q*(q\/q**(-3))**(-9) assuming q is positive.\nAnswer: q**(-536\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (108\/378)\/(2\/35*-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -84*w**3 - 35*w - 35. Let f(c) = 7*c**3 + 3*c + 3. Give -35*f(y) - 3*r(y).\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m - 8. Let t = 1698 - 1010. Let l be 2\/11 - t\/(-88). Let v be i(l). Solve -4*y - 4 - 14 = -3*d, -2*d + 2*y + 10 = v for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1442300 rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(72) + 0 - (sqrt(98) + -5 + (sqrt(98) - (sqrt(98) + 3 - sqrt(98)))))**2.\nAnswer: -416*sqrt(2) + 1416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 776.6 + -777. Let w be (3 + -1)*-2 - -1. Which is the nearest to o? (a) w (b) 0.2 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/4*2\/(-2). Let m(p) = p**3 - p - 29. Let o(t) = -11*t**3 - t**2 + 2*t + 58. Let z(r) = 2*m(r) + o(r). What is z(i)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 5*c + 14 = 0, 8*x + 3*c - 14 = 3*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 157481 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1773842 - -3?\nAnswer: 1773845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -29215 (base 11) to base 15\nAnswer: -c47e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 1 = -c, 0 = -c + 4*w + w - 29 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - 7*s**2 - 48*s + 229. Determine p(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -1\/20*c**6 - 5*c**2 + 0 + 0*c**4 + 3\/2*c**3 + 0*c**5 + 0*c. Find the first derivative of s(g) wrt g.\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -233047, -233017, -232987, -232957?\nAnswer: -232927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 6*h - 9)*(3 - 2*h - 3) + (-3 + h + 3)*(3 - 3 - h).\nAnswer: 11*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -20.25 and -8834.\nAnswer: -8854.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3094500 or 3094504?\nAnswer: 3094504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 4) to base 13\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8571.9 - 8572. Let v(w) = -w + 9. Let c(q) = 1. Let f(o) = -2*c(o) + v(o). Let i be f(6). Sort i, t, -5 in ascending order.\nAnswer: -5, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 47252, 196407, 444998, 793025?\n\"Answer: 49718*d**2 + d - 2467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -34*g**3 - 2*g**2 + 3*g + 3. Let a be q(-2). Suppose -8*s = -5*s - a. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - c = -70. Let w = c + -11. Let v = -2 + w. Solve -2*m + 3 = -v for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -255 (base 6) in base 13?\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 225, 1156, 2705, 4872, 7657, 11060?\nAnswer: 15081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 1:47 PM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/84 and ((-144)\/(-65160))\/(72\/1545).\nAnswer: 15204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -97, -429, -983, -1759, -2757?\n\"Answer: -111*l**2 + l + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 1356 = 6*n. Suppose 3*d + 4*x - n = -d, -4*x - 538 = -5*d. Calculate the common denominator of (d\/4)\/(-1) + 0 and 43\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2207549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 127\/70 + 52\/35. Find the common denominator of -3\/7 and s.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17274923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 36222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2960.3641 + -2828.37. Let q = t + -132. Round q to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 3*y - 2*y - 12 - y - 16 as t + b*y and give t.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, e: 5, u: 10, m: 1}. What is prob of picking 1 e and 3 u?\nAnswer: 30\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78.418 + -1469.798. What is y rounded to the nearest 10?\nAnswer: -1390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away -215?\nAnswer: 214.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**4 + 119667*u**3 - 3579987868*u**2 - 3582500916*u + 71602151120 = 0. What is u?\nAnswer: -5, 4, 59834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 3*t. Determine v(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**3 + p**3 + 2*p**3)*(-3*p - p + 2*p + (87*p + 5*p - 14*p)*(-1 + 0 + 3)).\nAnswer: -154*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -4. Let b be (s - 2)*(-3)\/(-9). What is the second biggest value in b, -3, 0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001893864 to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*o - 31 - 277 = 434 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -2*t + 3*x + 103, -t + 3*x - 7 = 0. Let c be 92\/22 - (-4)\/t. List the prime factors of 13 + 40 - (0 + c).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*o**3 + 21*o**3 - 5*o**3 + 7*o**3 - 12*o**3 - 6*o**3.\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 9857946 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -445 + 448. What is the units digit of 328 - (i + -15 - -5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 54 = r - 3*d, 3*r - 5*d = -62. Let j = -9 - r. Find the second derivative of l - 2*l**3 - 2*l**3 - j*l - 2*l wrt l.\nAnswer: -24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 6. Let o be 124\/155 - (-1)\/30*9\/(-6). What is the biggest value in 1\/4, v, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3324 divided by -3.\nAnswer: -1108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4*s**3 + 5*s**2 - 21*s - 12. Let h(o) = -o**3 - o. Let k(j) = -5*h(j) + x(j). Let u be k(-7). Solve 3*b + 2*w - 9 = 0, -3*w - 6 = -2*b + u*w for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17753 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 960518.7km in micrometers?\nAnswer: 960518700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 11 = -5*p, p = 3*z + z - 15. Suppose -3*k + 5 = -p. What is the derivative of 0*t**2 + 3*t**2 - 1 - 6*t**k wrt t?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1206 and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 2*z + 2. Calculate h(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -4*v + 125. Let b(k) = -k**2 - 15*k - 44. Let f be b(-13). Let g = v + f. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 3, 0 in decreasing order.\nAnswer: 17, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 6298*q + 6295*q + 2.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11727*h = 11738*h - 143 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2287044 + 3?\nAnswer: -2287041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -d**4\/24 - 23*d**3\/3 - 529*d**2 - 48668*d\/3 - 12. Factor m(n).\nAnswer: -(n + 46)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2*l. Suppose -2*a + 3*a - 5 = 0. Suppose a = 2*z + 3. Let m(s) = z - 1 + 2*s. What is m(w(j))?\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4 + 55*2)\/2. Let o = 10 - z. Is o greater than or equal to -43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-6*4*(((-1*sqrt(20))\/sqrt(10))**2 + sqrt(6)\/sqrt(3) + 3).\nAnswer: -480 - 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10 + (-200)\/(-15))*6\/4. Solve 0 = -5*s + 3*o, -u*s - 4*o + 26 = -3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1401?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (304*m - 304*m - 7*m**2)*(-2 - 5 + 3) in the form n + k*m + i*m**2 and give i.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1\/4*(-24)\/((-12)\/(-2))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 0*f - f**2 + (2 - 2 + 2*f)*(-2*f + 0 + 0) - 6*f**2 + 4*f**2 + 3*f**2)*(3*f**2 - 7*f**2 - 2*f**2).\nAnswer: 24*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1300)*-2)**2*-3.\nAnswer: 31200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 1 = k - 14, 5*k - n + 15 = 0. Suppose 0 = d + 3*d. Suppose d = 4*i + 3 + 9. Which is the nearest to -1? (a) i (b) 5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19733146 is divided by 642?\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 8. Which is the closest to 5? (a) 2 (b) k (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 394 a factor of 5646715?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 5*z**2 + 5*z - 3. Let w be f(-6). Suppose -2*j = w*b - 15, -7*b + 3*b = -4*j - 40. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33725 - 16725. What are the prime factors of a?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1379 times -0.03043?\nAnswer: -0.004196297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 s, and 1 r when four letters picked without replacement from {r: 4, s: 8, h: 4}.\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 10*m + 1. Let k be (-236)\/(-13) - (165\/143 - 1). Suppose 228 = -k*z + 66. What is w(z)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -6) + 0 + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -220*d**3 - 1105*d**2 - 20*d + 39. Calculate m(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 6*g - 22. Let c(l) = -2*l + 8. Suppose 77 = -13*n + 6*n. Let o(v) = n*c(v) - 4*i(v). Let s(z) = -2*z - 2. Give s(o(u)).\nAnswer: 4*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3\/13 - 2*t**2\/13 - 10*t\/13 - 4\/13.\nAnswer: 2*(t - 2)*(t + 1)*(2*t + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -50 - 10c6?\nAnswer: -1136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21325792?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z + 19. Let w be p(-8). Factor -1\/3*o**4 - 1\/3*o**2 + 0 + 0*o + 2\/3*o**w.\nAnswer: -o**2*(o - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 0.26221.\nAnswer: 0.026221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -64825300*d. Let v(w) = 4*w**2. What is l(v(h))?\nAnswer: -259301200*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s = 5*x - 35, -76*x - 15 - 5 = -80*x + 4*s for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -3 + -7 + 1 + 6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*g + 2. Let x(b) = -b**3 + 6*b**2 + 2. Let l be x(6). Let a(c) = -3*c**g + c**2 - 5 + 3*c + 3*c**l. Calculate a(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j + 7. Suppose -3*m + 28 = -26. Let v = 1 - 1. Suppose 5*u - 2*u + m = v. Determine s(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 2\/65 (b) -9 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 826675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 6 - 5\/2*d**2 + 0*d. Let k(s) = -4*s**2. Calculate k(z(m)).\nAnswer: -100*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(272) + -1 - (sqrt(153)\/sqrt(81))**2.\nAnswer: -26\/9 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((912\/(-2052))\/(14\/9))\/((-136)\/(-7))?\nAnswer: -1\/68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.31 (b) 0.1 (c) 157.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17242, 17237, 17236, 17239, 17246?\nAnswer: 17257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/(4\/(8 - 4)). Let c(u) = -u + 2. Let n be c(y). Let o = -1 + -5. Which is bigger: n or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n - 8. Let w be r(-6). Let c be 40\/16*(-2)\/w. What is the third biggest value in c, -0.2, 1\/8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*r + 62*r**2 - 19*r**2 - 25*r**3 - 45*r**2 - 1 - r**4 + 0 as z*r**2 + h*r**4 + x*r + v*r**3 + d and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 153871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 3:20 PM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -4*y**2 - 11*y + 16. Let n(f) = 3*f**2 + 11*f - 15. Let d(i) = -4*j(i) - 5*n(i). Let s(l) = -104*l + 528. Let m be s(5). Determine d(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w + 45. Let q be k(-13). Let j(h) = -h**2 - 9*h - 5. Determine j(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -4*w + 2*h + 13549, w - 3411 = -5*h. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 4*x**2 - 88*x. Let p(r) = 9*r**2 - 178*r. Calculate 5*m(z) - 2*p(z).\nAnswer: 2*z**2 - 84*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -63*r**2 + 121*r**2 - 61*r**2. Let f(b) be the second derivative of -b**3\/6 + 4*b. What is x(f(y))?\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 20 = -5*m. Let l(k) = k - 3. Let h be l(m). Solve -3*p + 4 - h = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3822851191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1*-6 - (-3 - -4)*-1204?\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/15*(-9)\/6.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4337 - 27084 - 4741 - 4529 - 14520)*(-3*n**2 - n**5 + 2*n**2 - n**5).\nAnswer: 110422*n**5 + 55211*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 965 a factor of 88671943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0020311 rounded to 4 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -259*a**4 - 413*a**4 - 174*a**4 + (a - 2*a**2 - a)*(0*a**2 - 5*a**2 + 3*a**2) - 2*a**4 + a**4 + 4*a**4.\nAnswer: -839*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and 147075.\nAnswer: 147075.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -7. Suppose 3*v - 4*t + h*t = 16, 4*v + t - 12 = 0. Let o(n) = 1 - v*n**2 - 1. Let u(j) = 2*j. Determine o(u(y)).\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 4*t, b + 5*t - 7 + 2 + 21 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -2 - 13 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/55 and ((12\/10)\/(792\/(-495)))\/(4\/34)?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 201 + -256. Is -54 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((0 - -5) + 4)\/((-6)\/(-16)). Suppose 23*p + 9 = c*p. Solve 3*h - p = -0*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 2*h**2 - 4*h - 1. Let i(a) = 2*a - 5*a**3 - 2 + 15*a + 6 + 2*a**2 - 11*a**2. Let m(l) = 9*l - 225. Let r be m(24). Determine r*s(d) - 2*i(d).\nAnswer: d**3 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*v + 23*v + 8581 - 10297 = -23*v for v.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 378 and 392503509?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v + 0*v**3 + 3*v**3 - 7*v**3 + 5*v as p + o*v**3 + i*v + b*v**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fyi when three letters picked without replacement from {y: 1, f: 1, h: 2, i: 3, s: 6}.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + g - 1. Let w be s(0). Let t(n) = 3*n - 7. Let l(z) = -5*z + 3. Let f(x) = 23*x - 14. Let d(r) = -2*f(r) - 9*l(r). What is w*t(y) - 5*d(y)?\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1036 is divided by 338.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3192899892 to the nearest integer?\nAnswer: 56506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*f**2 - 2*f**2 + 7*f**2 + 9*f**2.\nAnswer: 26*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 392*i**4 - 24*i**3 - 23*i - 1743088 wrt i.\nAnswer: 1568*i**3 - 72*i**2 - 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by -10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1141549 divided by -11083.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*t - 46151 = -198*t. What is the greatest common factor of 19 and t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zfaogataafzzfa. What is prob of sequence zo?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -12*15\/(-40)*2. Suppose -t*g + 345 = 6*g. What is the remainder when 272 is divided by g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 2 - 4 - 20*z**2.\nAnswer: -20*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 2 + 1 - -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 - 6 = 5*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 19*t**2 - t + 15 - 378*t**3 - 14.\nAnswer: -378*t**3 + 19*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(5\/4)*b*b*b)\/b)**(-2\/11)\/(b**(-11)\/b)**(-6) assuming b is positive.\nAnswer: b**(-1597\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5926*d**4 - 158*d**2 + 6*d wrt d?\nAnswer: 142224*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (736*h + 3221 + 723*h + 740*h - 2189*h)*((4*h**3 - 5*h**3 + 0*h**3)*(3 - 4 + 3) + 0 + 0 + h**3).\nAnswer: -10*h**4 - 3221*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2 - 24*y + 5. What is i(11)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**5 - 3*x**5 - x**5 + (4*x**4 - 10 + 10)*(-x - 2*x + 5*x) - 82 + 9*x**5 + 82 + (-x**4 - 1 + 1)*(3*x + 3*x - 7*x).\nAnswer: 17*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of x**5\/10 + x**2 + 5*x + 2. Let u(a) be the first derivative of h(a). Differentiate u(q) with respect to q.\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 11:23 AM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 384 minus 0.3?\nAnswer: 383.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/6 and 1\/(-4) + 231\/(-168).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 2) + (14 - 16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) 1\/8 (c) 1\/3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -38? (a) 39 (b) -2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.25747027 and -2.8?\nAnswer: 0.45747027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10164 and -121.3.\nAnswer: -1232893.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 10:13 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 5*m + 300960*w - 300961*w - 36 = 0, -144 = -m + 4*w for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -7078*b - 7084. Determine t(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) 1 (b) 2\/15 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2754 and 1115676.\nAnswer: 10041084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 81990441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1604\/12 - (2 - (-12)\/(-9)). Let q = k + -130. Let y be (-4)\/5 - 2\/(-5). Which is the fourth biggest value? (a) -1 (b) -0.1 (c) y (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + c**2 - 2*c)*(-1 + 3 + 0) - 869*c + 71*c**2 + 869*c.\nAnswer: 73*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 45, 47, 49, 51, 53, 55?\n\"Answer: 2*o + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - r**3 - 2)*(-8*r - 9*r + 22*r + (r - 2*r - r)*(2 - 3 + 3)).\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c55 - 4?\nAnswer: -1c59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 143*j - 147*j + 16. Suppose -2*m - g + 808 + 251 = 0, j*m + 3*g - 2113 = 0. Does 38 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bwk when three letters picked without replacement from bkkbekkkbiewki.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2201.21 - -126.19. Round j to the nearest 100.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3673063934.68 - -49?\nAnswer: 3673063983.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 times -6.75122?\nAnswer: 432.07808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zozrossvdvszzzz. What is prob of picking 1 r and 1 d?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4 - 8. Let g be (-6)\/(-21) - o\/14. Suppose -4 = -5*h + 3*q, 2*h = -4*q - 3 + 15. Solve g = -h*t - t - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7716?\nAnswer: 2, 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 2*q - 4*q)*(2 + 3 - 4) + ((3 - 2 - 2)*(0 - 1 - 4) + 0 + 4 - 2)*(-1 + 1 + 2*q).\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 + 491 = 425*x - 282. Sort -2, -71, x, -1.\nAnswer: -71, -2, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*b + 71*b - 36*b + 8*b**3.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -711*o - 2513. What is the tens digit of x(-70)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*c + 9. Suppose 2*z = c*u - 908, 8*u + 3*z + 1137 = 13*u. What is the remainder when u is divided by 46?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26.3*-0.08\nAnswer: -2.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 3:52 AM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-77)*(224 - 213)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 12 = m + 6*p, -4*m + 3*p + 3 = 0. Let c(f) = -6*f. Let n(k) be the second derivative of -13*k**3\/6 - 4*k. Determine m*n(g) - 7*c(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -4.4. Let i = -2.7 + 2.1. Let u = i + b. Is u at least 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 17 + 22 = 16*t - 31, 5*q - q = 9*t - 11 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-19)\/(-95)*15\/4 - 2\/4. Factor -1\/2 + z*w + 1\/4*w**2.\nAnswer: (w - 1)*(w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 3*z**2 - 5*z + 21. Let g be a(4). Put -2\/5, 2\/7, g in decreasing order.\nAnswer: 2\/7, -2\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -164 - 0.18\nAnswer: -164.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -0.5 (b) 0.5 (c) 1\/15 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 12169*x - 3200479. Determine k(263).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c = -3*i - 700, 3*i = -5*c + 329 + 102 - 148 + 217 for c.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((1035\/(-6))\/1)\/(-22 + 19)*-2468. Round r to the nearest 1000.\nAnswer: -142000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16838 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-9 - 715\/(-78)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 218*q + 422*q + 57 - 45 as c + t*q and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3778974?\nAnswer: 2, 3, 23327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3442 - -3634. Suppose 72 = -u + 4*u. What is the highest common divisor of c and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 34 - 203\/6. Let z(h) be the second derivative of 1\/4*h**2 + 0 - 3*h + 0*h**4 - a*h**3 + 1\/20*h**5 - 1\/60*h**6. Solve z(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.1456 litres to millilitres.\nAnswer: 89145.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/3 - 54*w - 332\/3.\nAnswer: 2*(w - 83)*(w + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/4 + (11 + -11)\/(-5). Which is the nearest to k? (a) -4 (b) -1 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -404 (base 5) to base 11\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2019, 2015, 2009, 2001, 1991, 1979?\n\"Answer: -w**2 - w + 2021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1210 or 1209?\nAnswer: 1210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48843?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/2 + -6 + 6. Let f be (2 - 2)\/(17 + -18). Let s(d) = -d**2 - 3*d - 5. Let y be s(f). Which is greater: y or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 406495.\nAnswer: 5, 81299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 5*i + 7. What is the units digit of f(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 333\/(-45) + (-3)\/5 - (-13884)\/3026.\nAnswer: -7\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 877017956?\nAnswer: 2, 37, 5925797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 at most 218553?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -666*s**2 + 427*s - 426. Calculate z(1).\nAnswer: -665","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*g - 59 - 25. Suppose 3*s = 2*d - 1099, 7*d - g*s = 4*d + 1647. What are the prime factors of d?\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-271973)\/(-78) + (-2 - (-26)\/12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + (-54)\/(-1))\/(-1 + 3). Suppose m*t - 20 = 27*t. Is 1\/5 - (4 - (-776)\/t) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**3 + 3*f**3 - 2*f**3)*(38747 - 38747 + 3774*f**2 + (f - 2*f + 3*f)*(5*f + f - 4*f)).\nAnswer: -7556*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 49*b - 38 - 167 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence itj when three letters picked without replacement from {t: 1, j: 1, i: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + 14. Calculate d(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o**3 - 3*o**2 + o**2 - 4 - o**3 + 7*o**3 to m + x*o + j*o**3 + a*o**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*y - 241135 - 24581 = 0. Does 196 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 86 - 428\/5. Let t = -3.4 - -0.4. Let p = 2.9 + t. Is p smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**3 - 2*d**2 - 2*d**3 + 4*d**2 + d**2 to the form p*d + u*d**2 + z*d**3 + o and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-19)\/((-3 + 2)*1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 37*g + 49*g = 539. Solve -4*q - g + 3 = 0, j = q - 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -82.09 - -82. Let w = s - 2.91. Let k be 8\/12*6\/(-32). What is the second biggest value in -1\/5, k, w?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -24*b**2 + 5*b + 5. Let i(j) = 7*j**2 + 3*j**2 - 2 + 2*j**2 + 32*j - 42*j + 8*j. Determine 5*i(r) + 2*z(r).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 PM and 2:30 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/2)*u*(u*u*u*u**(-4))\/u)\/((u*u*u*u**(-1)*u*u)\/(u*(u*u**(2\/7))\/u)) assuming u is positive.\nAnswer: u**(-45\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -1. Suppose 6 = 2*f, -3*f + 2 = -m*h - 1. Suppose 0 = g - 3. Calculate the lowest common multiple of h and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3551 is divided by 199.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -2476?\nAnswer: 2477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.13922 + -0.23915. Round s to 2 decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 146, 280, 410, 542, 682, 836, 1010?\nAnswer: 1210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 3*p + 15 = -5*c, -c = 3*p + 29. Let z be 2\/p*3 - -1. Suppose a = -3 + 2. Which is smaller: a or z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/7*(988\/(-171) + 5).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -461, -341, -179, 25, 271, 559?\nAnswer: 889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 4*w**2 - 408*w + 404 = 0.\nAnswer: 1, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y - 7. Let w(c) = -2*c + 7. Determine 4*b(t) + 3*w(t).\nAnswer: 2*t - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4589*j**2 - 50362*j - 1282. Determine q(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**3 - 89*i**3 + 23*i**3 - 101*i**3.\nAnswer: -168*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*m - m**2 - 25*m - 2*m**3 + 8*m**2 + 82*m - 29*m as o*m**3 + w*m**2 + n*m + v and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 2*s - 5*s)*(6*s + 0*s - 3*s)*(-2*s + 0*s + s).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*s - 2084*s - 1624*s + 489*s.\nAnswer: -3056*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 + -370?\nAnswer: -370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -10*d - 52. Let k be w(-6). Solve 5*x - 5*r + 2 = -k, -2*x + r = 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 8*h**3 - 8*h**2 + 6*h - 36. Let g(x) = 7*x**3 - 7*x**2 + 6*x - 31. Calculate 7*g(b) - 6*i(b).\nAnswer: b**3 - b**2 + 6*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -2. Let y = 80 + -404\/5. Let o = 3\/10 + y. Which is the nearest to -0.1? (a) o (b) -0.4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 + 5 + (0 + 2 + 0)*(3 - 2 + 3))*(3*z**2 - 14*z + 14*z)*(-4*z**2 + z**2 + 4*z**2) + 2*z**4 - 2*z**2 + 2*z**2.\nAnswer: 20*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(175) - (sqrt(175) + sqrt(175)*-1*5) - sqrt(175))**2 + (sqrt(140)\/(sqrt(10)\/sqrt(2)))\/(sqrt(4) + sqrt(40)\/(sqrt(10)*1)).\nAnswer: sqrt(7)\/2 + 14000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r - 2*r + 2 + 0. Let z = 9159 - 9170. Suppose 4*j - 1 = 7. Let k(o) = -16*o + 11. Give j*k(p) + z*g(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 372.0682 decades in centuries?\nAnswer: 37.20682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 10:45 AM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 175.6 + 72.4. Let u = l + -267. What is the closest to 3 in u, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1612780343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*k**3 + (-2*k + 2*k + k**2)*(-k + 5*k + k) + 2*k**3 - 4*k**2 + 4*k**2.\nAnswer: 5*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*p + 56 + 573 = -296 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 1358.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188819821?\nAnswer: 47, 4017443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 29? (a) 0 (b) -2752 (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1238 + -800. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d + 87*d**3 - 179813*d**2 - 179822*d**2 - 11 - 4*d - 91*d**3 + 359635*d**2.\nAnswer: -4*d**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1310088064?\nAnswer: 2, 10235063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -97 - 47.4. What is x rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**3*z**6 + g**3*z + 1028*g**3 - 4*g**2*z**2 - 4589*g*z**5 wrt z?\nAnswer: 240*g**3*z**3 - 275340*g*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (11 - (65 - 21))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.91057 to 0 dps.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 8*s + 5544. Let p = -344 - s. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*u**3 + 33 - 33)*(2 - 2 + u**2) - u**5 - 2*u**5 + 7*u**5.\nAnswer: -23*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -297569272 divided by 3381469.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 6*t - 271 = -3*z, 0 = -3*t - z + 161. Let j = t - 48. Suppose 0 = j*c + 19 + 1, 3*b - 5*c = 449. Does 13 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 806872.\nAnswer: 2, 11, 53, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 420354 and 110?\nAnswer: 2101770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -21. Let l = 23 + c. Let a = -76\/21 - -10\/3. Is l equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 10:40 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10448342 to the nearest integer?\nAnswer: 3232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -367 and 32.\nAnswer: -11744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 788 and 1426674?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 339 = a, 0 = 5*q - 3*a + 8*a + 795. Is -131 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (104*35\/(-3080))\/(15\/(-825)).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 b, and 1 i when four letters picked without replacement from {b: 9, l: 1, i: 5, d: 5}.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/(-6))\/((-10)\/15). Suppose -5*w = 4*x + 30, -x = r*x - 3*w + 9. What is the tens digit of ((-4)\/x)\/(26\/3445)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, b: 1, y: 11, m: 5}. What is prob of picking 2 o?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 94 - 91. Suppose -k - t = 0, 0 = -k - t + s*t + 9. Suppose 5*b + 4*d = 1115, -4*b + k*d + 892 = 8*d. List the prime factors of b.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18 + 53\/3*h + 1\/3*h**2.\nAnswer: (h - 1)*(h + 54)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -10*p**2 - 7*p - 7. Suppose 6 = -3*h - 9. Suppose -4*u - u + 46 = -3*n, -5*u = -n - 32. Let l(j) = 7*j**2 + 5*j + 5. What is h*v(f) + n*l(f)?\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 909720 and 115520?\nAnswer: 7277760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5336588 - 5336588 + 57*o.\nAnswer: 57*o","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 108 = -2*g. Calculate the least common multiple of g and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -10*h + 1\/20*h**5 + 1\/4*h**4 + 0*h**3 + 0 + 0*h**2. Let m be p(-3). Solve m = -3*q + 3, -4*i - 17 = -q for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - (-4 - (-23 - -2))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 44 = -2*k, -4*k + 186 = 4*x - 7*k. What is the remainder when x is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - 15. Let c be k\/(-25)*2\/4. What is the closest to 0 in -0.1, 2\/13, c?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-2))\/((-2)\/1250). Suppose 5*f - 470 - d = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 6*k + 3. Let v be r(-2). Let g = -113.2 - -113. Which is the third biggest value? (a) -4 (b) g (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-22)*(2185\/(-92))\/19\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4.64463cm?\nAnswer: 0.0000464463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18637\/173880 + -88\/621. What is the common denominator of 115\/588 and k?\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/91*1157\/(-2937).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 8*l**2 - 11*l + 12. Let a be v(9). What is the tens digit of 11 + 2\/(a\/(-9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.05 + -0.15. Let r = -0.11 + -4.89. What is the third biggest value in s, 6\/7, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 x, 1 c, and 1 g when four letters picked without replacement from {z: 1, c: 2, g: 1, o: 5, f: 1, x: 6}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/216, 31, -3\/5, -24\/5.\nAnswer: -24\/5, -3\/5, -1\/216, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 2*v - 2. Let q be j(-2). Suppose -5*t = 2*x + 19, x - 11 = 2*t + q. Let b(s) = -s + 8. Let o be b(5). Solve -r = o*u, x*u - 5*u = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -258*-0.4\nAnswer: 103.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**2*v**3 - 11*c**2*v + 55*c**2 + 39712*c*v**5 + 32*c*v - 1 wrt v.\nAnswer: 12*c**2*v + 794240*c*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m**2 + 10*m. Let r be d(7). Let i(v) = 2*v**2 + 217*v - r*v. Let p(x) = -4*x + 11*x + 3*x. Determine i(p(f)).\nAnswer: 200*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.2 or -57\/206603?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -880 (base 9) to base 15\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 0.3 (c) -117.7 (d) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -93579534 divided by 6\nAnswer: -15596589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-2)*4\/1*(-19721)\/(-2132)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2250 and 97660170.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 36, 80, 154, 258, 392?\n\"Answer: 15*z**2 - z + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52 by -12.\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of -n**7\/21 + 5*n**4\/12 - 6*n. What is the third derivative of i(u) wrt u?\nAnswer: -120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.432 * 0.07.\nAnswer: 0.10024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*(m\/(m**1\/m)*m)\/m*m)**33)**(-12\/7) assuming m is positive.\nAnswer: m**(-1584\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 561 divide 18267066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m**2 + 5*m**2 - 15*m**2)*(-4*m**2 + 0*m**2 + 2*m**2) - 216 - 3*m**4 + 216 + (3*m**2 - m**2 - m**2)*(0*m**2 + m**2 + m**2).\nAnswer: 29*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5\/15)\/(3\/828). Suppose -s = -3*s + a. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and 904911490?\nAnswer: 904911493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-2*sqrt(110))\/(-6*sqrt(44)))\/(-1*sqrt(4)\/((sqrt(2) + sqrt(2) + sqrt(4)\/sqrt(2))*-3)).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 c when three letters picked without replacement from {c: 3, r: 5}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 4:04 AM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) + (sqrt(39) - sqrt(117)\/sqrt(3)*4))\/(4*sqrt(48)).\nAnswer: -sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/10 and 97\/2002?\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 293202 (base 12) in base 6?\nAnswer: 22441202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-8) - (-3132)\/16. Suppose 2*h = -k + 55, 0 = 5*h + 5*k + 50 - x. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 5*h - 4*i = 55, 55 = 5*h + 5*i. Let v(g) = 2*g - 6. Let k be v(6). Suppose 0 = -k*y + h*y - 195. List the prime factors of y.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 152a3b + 1?\nAnswer: 152a3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -278.6 take away -67?\nAnswer: -211.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 1 + 1439*m + 0 - 1212*m. What is the hundreds digit of l(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11955164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1109823 (base 16) in base 12?\nAnswer: 5b96483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 d when three letters picked without replacement from yyyydlddyyyyyyyryrrd?\nAnswer: 22\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f - 7. Let p be (-5 + 42\/9)\/(1\/(-18)). Give o(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0)**(-20)\/(m**16\/m**(-23)) assuming m is positive.\nAnswer: m**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 48 = -0*p. Calculate the smallest common multiple of 2 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15 + 8. Let k(d) = -d**3 - 7*d**2 + 9. Let p be k(f). Let v = p + 106. Calculate the highest common divisor of 23 and v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3452685 + 0.0134?\nAnswer: -3452684.9866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1024 is divided by 66.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 42 = 3*m, -3*m + 7 = 2*t - 8. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7569.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {c: 12, n: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from {t: 6, x: 3, e: 2, l: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17963 is divided by 219.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-8))\/((-2)\/(-12)). Let u be i*(-4)\/(-6) + 0. Solve -2*g**4 - 6*g**4 + u*g**2 + 6*g**4 + 2*g**3 - 2*g = 0 for g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.661523 days to seconds.\nAnswer: 834755.5872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, f: 3, j: 3, k: 3, q: 4}. Give prob of picking 2 i and 2 f.\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 155*u**2 + 28*u. Let o(k) = -77*k**2 - 13*k. Let t(h) = 2*n(h) + 5*o(h). What is the second derivative of t(i) wrt i?\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 5:33 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*w - 29*w + 15*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42534 (base 11) to base 8.\nAnswer: -170654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 a when four letters picked without replacement from {j: 14, a: 5}.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-178)\/(-8) + -22 - (-2)\/8. Let j(y) be the first derivative of s*y**2 + y**3 - 1\/2*y**4 + 19 - 2*y. Determine j(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4671 + -2271. Round u to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 64 - 13. Suppose -2*q + a = 3*q + 3*t, 6 = 2*q - 5*t. Suppose q = 5*s - n, 4*n = -s + 4*s - 1. Solve -h + 10 = -s*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3160*k**4 - 15*k**3 - 170245*k**2 + 2*k - 2 wrt k?\nAnswer: 75840*k - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*t + 203 = 0, -2*t + 11 = h - 53. Calculate the greatest common factor of 22 and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**3 + i**2 + 9. Suppose 0 = -29*y - 384 + 248 + 223. Give x(y).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1003*g + 2974*g = 991*g + 1012*g - 2656 for g.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 13.89, 3\/11 in increasing order.\nAnswer: 3\/11, 6, 13.89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000429 to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w + 7. Let i(m) = -m**2 + 30*m + 2. Let o be i(30). Let r(t) = 3*t + 22. Calculate o*r(f) - 7*x(f).\nAnswer: -f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/452 and 1\/2802786?\nAnswer: 633429636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -23924 divided by -18\nAnswer: 11962\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - -2 - ((1 - 1) + (80 - 79))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*d - 47. Let w(b) = 72*b**2 - 7*b - 55. Is w(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - -9. Suppose -29*p = -30*p - i. Which is bigger: -22 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1754 = 734*a - 13984 - 23898 for a.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-13) - 714\/(-1768). Let y be (-2)\/(-8) - 5\/20. Let d = -0.07 + -2.93. What is the closest to n in -4, d, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -2\/7, 1\/8, 2, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -198 + -0.053.\nAnswer: -198.053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13859 - 269 = p + w, -3*p + 2*w + 40805 = 0. What are the prime factors of p?\nAnswer: 13597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 1201211211100?\nAnswer: 1201211211011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - n + 0*n = -81, 2*h = -3*n + 53. Solve -4*d - h = 3*g, 0 = 2*d - 4*d - g - 7 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*z**3 - 3 + 18*z**3 + 3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.5 + -1. Let l = -0.1 - 0. Let m = -0.035 + -0.265. Sort d, l, m in descending order.\nAnswer: l, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -8*o - 6. Let d be p(-4). Let r = 12 - d. Let y = 2714 + r. What is y rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 6:33 AM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-14) - (-2)\/(-2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - b892?\nAnswer: -b896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*p + 38 + 200 = 0 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 4*(((1*sqrt(152))\/sqrt(8) + sqrt(38)\/(sqrt(4)\/sqrt(2)))**2 - (-5*sqrt(19)*2 + -5)).\nAnswer: 40*sqrt(19) + 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 583.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**2 - 6*x + 11. Let o(y) = 3*y**2 - 8*y + 12. Let w(c) = -4*o(c) + 5*u(c). Let n(r) = 2*r**2 + r + 4. What is -7*n(q) + 4*w(q)?\nAnswer: -2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/5 or 893216482?\nAnswer: 893216482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*d - 2*d + 5*d)*(4 - 1 - 5)*(10 - 9 - 71 - 65) to k*d + l and give k.\nAnswer: 270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 28 = -48*z + 68, z - 1 - 1 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 314 + -206. Suppose -109*h = -f*h - 15. What is the remainder when 1022\/18 + 10\/45 is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -0.4, -2681, -2\/3, 57\/4?\nAnswer: -2681","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.6 + 3. Let m be -9 + (-9)\/(-3) + 12. What is the closest to m in f, -0.3, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 40a1 - -5?\nAnswer: 40a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29545\/3444 + 4\/861. Find the common denominator of k and 58\/213.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-420)\/48 + -7 + (-1)\/4. Calculate the remainder when 5071\/(-5 - x) - 2*-1 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -50*f - 80. Let a be m(-2). What is the highest common divisor of 12 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2+-95.3\nAnswer: -97.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1923673 to the power of 1\/2, to the nearest integer?\nAnswer: 1387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/3))**(-4\/15)\/(s**(2\/3)\/s)**50)**(-1\/20) assuming s is positive.\nAnswer: s**(-373\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -11.45. Let l = 0.55066 + f. Round l to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*w**5 - w**5 - w**5 + (-w + 0*w + 2*w)*(-3*w**4 + 2*w**4 + 3*w**4) - w**5 - 3 + 3 - 6*w**3 + 6*w**3 + 4*w**5 + 2*w**5 + 0*w**5 + 0*w**5.\nAnswer: 9*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 147*z**2 + 74*z + 47. Let a(x) = -29*x**2 - 14*x - 9. Let c(t) = 11*a(t) + 2*d(t). Let o(f) = 37*f**2 + 9*f + 7. Give 7*c(g) + 5*o(g).\nAnswer: 10*g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/2 (b) 0 (c) 0.3 (d) 2\/685 (e) -0.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 247879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*w**3 + 18 - 42 - 80 - 6*w**3 to the form s*w**2 + f*w + l + z*w**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 3*b + 6. Suppose 147 = b*v + 51. What is the lowest common multiple of v and 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-46)\/(s*s*s\/(s**(-37)\/s)))**(-42) assuming s is positive.\nAnswer: s**3654","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ciiwwceiciecccciciie. Give prob of picking 2 e.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -76*h. Let g be k(1). Suppose 324*m - 275*m = -2377 - 1445. Which is smaller: g or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 8*c + 20. Suppose 2*p - c = -d, p = 2*p + 3*d. Factor -7*a**2 - a + 3*a**2 + 6 + 2*a**2 - p*a.\nAnswer: -2*(a - 1)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b*b*b*b\/(b\/(b*b*b\/b**4*b)*b*b)*b*b**1\/b)\/((b\/b**(-1\/3))\/((b\/b**(-1\/7))\/b)) assuming b is positive.\nAnswer: b**(59\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 1. Let l be k(-6). Suppose -l*r = -2*r. Solve a = -r + 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*i - 4*u, -3*u + 0 - 3 = 0. Suppose -i*t + 4 = 0, t + 23 = 3*o + 5*t. Find the second derivative of o*h**5 - 5*h**5 - 3*h**5 + h wrt h.\nAnswer: -60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**5\/2 - 533*r**4 = 0.\nAnswer: -1066, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21032, -42066, -63100, -84134, -105168, -126202?\nAnswer: -147236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 - -9.3. Suppose -3*k + 0*k + 33 = -3*g, 5*k - 25 = 0. Let q be 1\/g*-2 + 0. Which is the nearest to 2\/7? (a) z (b) -3\/4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/1215? (a) -2\/3 (b) -1.4 (c) -1\/7 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 + -43. Let m = 10 - 4. Suppose 2*t + 6 = 0, 2*h - 2*t + 18 = -m*t. Put h, 0, -0.4, z in increasing order.\nAnswer: h, z, -0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cxoy when four letters picked without replacement from umoocuxuoyco?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(105)\/sqrt(3))\/(sqrt(5) + sqrt(180)\/sqrt(4)).\nAnswer: -3*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/16*5\/3. Let o = 16.03 + -16.23. What is the closest to 0.1 in 11, s, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 a when two letters picked without replacement from {a: 6, u: 4}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oojjjjjjj. What is prob of picking 1 j and 1 o?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 4 - 6)*(-16*s + 9*s - 15*s) as z*s + q and give z.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of h**4\/4 + 4*h**3\/3 - 3*h**2\/2 + 12*h + 3. Let a be c(-5). Let o(p) = -4 + 5*p - 3 + p**a - 2*p**2. Determine o(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o + 55*o + 36*o.\nAnswer: 87*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 80 - 0. Let d = v - -9. Which is greater: -5 or d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -2*q**7\/105 - 7*q**6\/15 - 49*q**5\/15 - 121*q**2\/2 + 148*q. Let w(l) be the first derivative of a(l). Solve w(i) = 0.\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -4*v + 24, -18 = -4*v + 5*q + 14. Suppose d + v*d = 12. Suppose a + 93 = -0*c + 5*c, -45 = -2*c + d*a. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7247 or -7\/37?\nAnswer: -7\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 6*w**2. Let l be c(-6). Suppose 0 = -l*x - 3*x - 42. Is (-2)\/7 + (-312)\/x a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*v + n - 133, -4*v + 5*n = -240. Calculate the remainder when v is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - c - 1)*(53*c - c + 10*c) - 2*c**2 + c**2 - c**2)*(-6 - 4 - 8) to n + a*c + q*c**2 and give q.\nAnswer: 1152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + 3 - 3)*((2 - 2*k - 2)*(3 + k - 3) - 2*k**2 + 3 - 3 - 3*k**2 - k**2 + 2*k**2).\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 2*k - 7. Let x(g) be the first derivative of -g**3\/3 - g**2\/2 + g + 37. Determine -j(r) - 2*x(r).\nAnswer: r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74808 divided by -1954.\nAnswer: -37404\/977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 24*z - 91. Let t be u(-5). Suppose t*x - 3*c = -71, -3*x - 17 = -15*c + 20*c. Which is greater: x or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*t**3 - 295*t**3 + 98*t**3 - 39.\nAnswer: -215*t**3 - 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2 + 12 + 1 - (-61 - -58)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 17\/(-6) + (-14)\/84. Let b be (z\/2)\/((-6)\/20). Calculate the greatest common factor of b and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24928506.\nAnswer: 2, 3, 461639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-3))\/(56\/(-504))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75335.\nAnswer: 5, 13, 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 13303 - 1243717.4\nAnswer: -1230414.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x - 801 + 800 - 12*x**2 - 6*x**2 + 6*x**2 - 2*x**3 to the form v + f*x**3 + q*x**2 + z*x and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 27*v**3 - 18*v**3 + 2*v + 14*v**3 - 2*v**2 in the form f*v**2 + u*v + l*v**3 + k and give l.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**3 - i + i + (-11 - 12 - 6)*(-7*i**3 - 7*i**3 + 5*i**3) to p + w*i + j*i**2 + z*i**3 and give z.\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (100\/156)\/(-5)*3. Let z = l + 2\/39. Let g = z - -2\/15. Sort 3, 2, g in increasing order.\nAnswer: g, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*t - 26760 = 25032. Let k = 16337\/5 - t. Which is greater: 30 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.24 + -0.04. Let t = 0.32 + -0.29. What is the closest to h in -1, t, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.7 + -2. Put 3, c, -3 in decreasing order.\nAnswer: 3, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*d - 28 = 0, 3*u + 3*d = 4*d - 84. Let w = u - -279. Let m = 436 - w. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 438 and 9052.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 211?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48053217?\nAnswer: 3, 373, 42943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 410201 (base 5) to base 16\nAnswer: 3378","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + a + 4*q - 561, -448 = 4*a - 4*q. Let i = 116 + a. What is the second derivative of -i*r**4 - 41*r**4 - 1 + 1 - 8*r wrt r?\nAnswer: -528*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -544 - -581. Calculate the highest common factor of 814 and v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/((m**(4\/9)*m)\/m))\/m)\/m)**(2\/67) assuming m is positive.\nAnswer: m**(-26\/603)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -4, 624\/5 in descending order.\nAnswer: 624\/5, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -g**5\/20 + 7*g**4\/12 + 5*g**3\/3 - 5*g**2\/2 + 4*g. Let x be b(8). What is the highest common divisor of x and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 42086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 7*f + 34*f + 4*f + 59*f + 35*f as p*f + h and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2162, -4327, -6492?\n\"Answer: -2165*p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 742744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1877000 rounded to the nearest 100000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2383 + -7153\/3. Which is the nearest to 10? (a) -3\/5 (b) h (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/33)*v**23)\/(v**(-2)*v)**(-16) assuming v is positive.\nAnswer: v**(233\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9804198?\nAnswer: 2, 3, 467, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 times -2.274?\nAnswer: -43.206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wawpawayyy. What is prob of picking 2 w?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 946128.8 years in decades?\nAnswer: 94612.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(((o**(-2\/21)*o*o)\/o)\/o)*o)\/(o\/(o*o\/(o\/o**14)*o)))\/((o**(-1)*o)\/((o*o**(1\/20)\/o*o)\/o*o)) assuming o is positive.\nAnswer: o**(7621\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 72 - 68. Suppose m*z - 33 = 15. Suppose 0 = -n - 2*a + 42, 8*n - 186 = 3*n - 2*a. Calculate the highest common divisor of n and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.42693mg in nanograms?\nAnswer: 426930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -1121?\nAnswer: 1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9750 and 534000.\nAnswer: 6942000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 723*a**2 + 83*a + 343. Is i(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 111*v**2 + 40*v + 1.\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the first derivative of -3*b**6\/5 + 3*b**4\/2 - 9*b - 12. Let n(f) be the first derivative of g(f). What is the third derivative of n(u) wrt u?\nAnswer: -432*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -174 + 193. Solve 4*w = g - k, 4*g + 0*w - 16 = 4*w for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2994264 less than 4?\nAnswer: 2994268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -18*j**2 - 373*j + 104. Determine g(-21).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -4 + 12. Let p(o) = 36*o**2 - o - 1. Let g be p(-1). Suppose g = f*a + 16. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbb. Give prob of sequence bbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(13)*-2*-4 + (sqrt(117)*-1)**2 + sqrt(117).\nAnswer: 11*sqrt(13) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/9)\/(g\/(g*g**(1\/4)*g)))\/(((((g*g**5*g)\/g)\/g)\/g)\/((g\/(g**10\/g))\/g)))**(3\/4) assuming g is positive.\nAnswer: g**(-427\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 w when four letters picked without replacement from wuiiiuuwiuiwiuiiiwu.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 199988 = 6*z. Suppose f + f = -5*n - z, 0 = -2*n + 3*f - 40009. Round n to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/((-6)\/(180\/(-25))). Let o(z) = -2*z + 23. What is the remainder when 32 is divided by o(w)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57 (base 10) to base 13\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -81.878 take away -23.79?\nAnswer: -58.088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2405 to the power of 1\/2, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*h - 10337401 = 1232017. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)*1)\/((sqrt(18)\/sqrt(2))\/sqrt(3))*-4)**2.\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -8*w. Let p(f) = -f**2 + 1. Let r(u) = -20*u**2 + 4*u + 8. Let s(x) = 8*p(x) - r(x). What is s(g(y))?\nAnswer: 768*y**2 + 32*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 98462762*m*t - 27898664*t + 1 wrt m?\nAnswer: 98462762*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 32*s**2 + 21*s - 393. Let y be j(-33). Let l(z) = 0 + 0*z + 3 - 2*z. Calculate l(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-94)\/(-94)*1\/(-15).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 8:08 PM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15885, -63616, -143163, -254526, -397705?\nAnswer: -572700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5370563959.\nAnswer: 17, 19, 1907, 8719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 14*i - 6. Let d(u) = -u**2 + 12*u + 33. Let o be d(14). Calculate the remainder when l(o) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3518041447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 4*p**5\/5 + 4*p**4\/5 - 4*p**3 - 4*p**2 + 16*p\/5 + 16\/5 = 0.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 21.6 times 4\nAnswer: 86.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by 149668?\nAnswer: -5\/37417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 6, -2\/5, -3\/2, 1\/6?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6430815 to the power of 1\/3, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -11*j + 17. Calculate k(6).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010893699 to 5 decimal places.\nAnswer: -0.01089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (139 - 139 + 2*r**2)*(-3*r**3 - 3*r**3 - 11*r**3) + 3*r**3 - 3*r**3 - 4*r**5.\nAnswer: -38*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**3 + 71*a**2 + 9*a wrt a.\nAnswer: -12*a + 142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1037.029 centimeters?\nAnswer: 10370290000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (248 - 75*m - 496 + 250)*(-m**3 + 0*m**3 + 0*m**3) as p*m**4 + k + d*m**2 + w*m**3 + c*m and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-1)*9\/20*24288\/31878.\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.4 (b) -5 (c) -1\/4 (d) -0.728 (e) -1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 5*y - 80 = 0, 685*y - 30 = 3*k + 682*y. Let t(a) = a**2 + 14*a - 4. Calculate t(k).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**5\/60 + r**4\/3 - r**3\/2 + 2*r**2 - 28. Calculate a(-11).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1157.676 - 1164. Let a = -0.2 - -0.176. Let c = r - a. What is c rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -5*f - 72. Let m = f - -24. Let p(q) = -q**2 + 8*q - 8. Let c be p(m). Solve 4 = 3*s - c*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 230794, 462289, 693774, 925243, 1156690, 1388109?\n\"Answer: -v**3 + v**2 + 231499*v - 705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2422723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.02 from -85641536.\nAnswer: -85641538.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f - 601 + 5658 = 0. What is the remainder when f is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202648119551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, -33, 0.2, 3, 0.001, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -26c6?\nAnswer: 26c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, n: 2}. What is prob of sequence nqnq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 145 = -5*k, -5*k + 4*v + 169 = 5*v. Suppose 0 = -13*p + 293 - k. What is the highest common divisor of p and 290?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -3*g + 7. What are the prime factors of o(-25)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2434.0452878325 and 1.3?\nAnswer: 2435.3452878325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1064\/(-532)*(-1 - 0)\/(-49)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = d + 9*o - 8*o, -2*d + 3*o + 30 = 0. Solve -2*l + 7*l + 11 = c, 5*l + c + d = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x - 17. Let w be i(7). Suppose 1167 = w*v - v - 2*g, -5*v = 5*g - 1945. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 46, 2 in ascending order.\nAnswer: 2, 13, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3646 - 1326.3646. Is -1 != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 9 and -575.7?\nAnswer: -5181.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -3, 0, 3, 1 in descending order.\nAnswer: 3, 1, 0, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9067999153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 987, 1332, 1667, 1986, 2283, 2552, 2787?\n\"Answer: -u**3 + u**2 + 349*u + 638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 3*q = 19, -4*t - 3*q + 15 = -2*q for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1047.963ns?\nAnswer: 1.047963","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13931*w + 92 = -5*f + 13934*w, -3*f = -3*w + 84 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19297856 and 2176?\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 0.3, -0.011, 2\/9, 1\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/15)\/b*b*b\/(b**12\/b))\/(((b\/b**8)\/b*b)\/b)**(23\/2) assuming b is positive.\nAnswer: b**(1232\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6065, 12134, 18203?\nAnswer: 24272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -617 > -619?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4576 or 4600?\nAnswer: 4576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8951 - 8942. What is the closest to -0.2 in i, 1, 49?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00003141437297 to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -175 by -3.\nAnswer: 175\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*4*(-4 + (-5 + sqrt(425) + 2 - (sqrt(425) + sqrt(425)*-1*3 - sqrt(425) - sqrt(425)))))**2.\nAnswer: -22400*sqrt(17) + 683136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 966865 + x**2 - 966865. Let b(s) = -5*s**2 - 2*s**2 + 5*s**2. Determine r(b(f)).\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138577 - 345411 = -19*t + 110238. Is 112 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/249 and 89\/1660?\nAnswer: 4980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12314410 and 35.\nAnswer: 86200870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 85918009?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(12\/8*1). Suppose 0 = -3*a - 3*h, 2*a - 7*a + h + 6 = 0. Sort a, q, -5 in decreasing order.\nAnswer: a, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4246 (base 7) in base 6?\nAnswer: -10544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/((-5)\/(-2)) - 2 - 8. Let o = 3 - b. Solve 0 = 4*s + x - 4, 4*x - o - 5 = 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -3\/7, -39\/11 in decreasing order.\nAnswer: -0.1, -3\/7, -39\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 + -18. Suppose 3*g = -2*g - 4*q - 10, -2*q = z. What is the third derivative of l**6 + 3*l**2 - 2*l**2 - g*l**6 wrt l?\nAnswer: -120*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + 32. Let x = 67 - z. Let v = 0 + x. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -120641 divided by -1.\nAnswer: 120641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 13 (b) -404\/3 (c) -0.046\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + 3. Suppose 3*o + 13*d = 9*d + 17, 3*d - 21 = -5*o. Calculate the remainder when c is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 + 12*b + 17. Let f be d(13). Solve -4*m - f = -5*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-175)\/(-7) - 6 - -1. Suppose 0 = -5*v + g, -4*m = v + 3*v - 1016. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 6394?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-3\/2))\/o*o)\/o**(3\/5)*o**5\/(((o\/(o**(-3\/11)*o))\/o)\/o))**(2\/49) assuming o is positive.\nAnswer: o**(619\/2695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 12*g + 16. Let c(o) = -o - 1. Give -42*c(k) - 3*j(k).\nAnswer: 6*k - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -241085570 divided by 2?\nAnswer: -120542785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123111130 - 212?\nAnswer: 123110312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 891 and 2087019?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 - 38. What is the units digit of (h\/(-1))\/((-3)\/66)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 42150, 84228, 126304, 168378, 210450, 252520, 294588?\n\"Answer: -y**2 + 42081*y + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a millimeter?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -1747*o**3\/3 + 597*o**2\/2 + 1552. What is the second derivative of g(b) wrt b?\nAnswer: -3494","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 10. Suppose 0 = -b - 2*q - 7, -8*b - 30 = -3*b + 5*q. Let o = n - b. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1584)*2 + sqrt(1584)) - (-5 + sqrt(704)*1))**2.\nAnswer: -1520*sqrt(11) + 254169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 56 + 40376\/(-792).\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-6 - -1) + 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y - 17. Let v(q) = -290*q + 3486. Let w be v(12). Determine x(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 51, -7, -3, -18, 0 in ascending order.\nAnswer: -18, -7, -3, 0, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 20327.\nAnswer: 101635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -7*r - 6. Let d be l(-1). Let w be 1 + -2 + 7\/8. Is w less than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00164112884 to 6 dps.\nAnswer: 0.001641","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (14 + 5 - (0 + 5 - 11)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8665 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 312083987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -6*m + 2. Let o be l(-5). Suppose -2*s = 4*h + h - o, 0 = -3*s + h + 31. Calculate the remainder when s is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 + 2*b**2 - 1. What is the smallest common multiple of l(1) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 622016688, 622016686, 622016684?\nAnswer: 622016682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 67 + 10?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - 1 - (-5 + 6). Suppose -4*g - 3 + 11 = t. Solve -g*a - 2*a - 8 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 20*w**2 - 8*w + 12. Let f be b(4). Suppose -3*l = -7*l - s - f, -l = 3*s + 86. Let k = l - -74. Solve r + 0*r - 3 = k for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 823.\nAnswer: 1\/823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 1.3. Let w = 2\/647 - 1304\/3235. Let q = -0.6 - -5.6. Sort q, w, d.\nAnswer: w, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiepoeiefopfei. Give prob of sequence oop.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 u when three letters picked without replacement from ujjjujj.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.6 - -0.6. Let t = -0.04 - 0.96. Let r = t + o. Put -1, r, 4 in descending order.\nAnswer: 4, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*j**2 + 2\/7 - 2\/7*j**3 + 2\/7*j.\nAnswer: -2*(j - 1)*(j + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -19, 8, 3380, -5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15835a0 - -8?\nAnswer: -1583594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -755*t + 1150 - 395 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1723923835?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18578 - -29?\nAnswer: -1854c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124*c - 103*c = 2009721. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*m + 16*m - 2. Suppose d + o - 7 + m = 0, 4*o = -20. Solve 5*j - l = -3*l + d, 5*j + 10 = 2*l for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 + 50*w + 197. Let z be a(-20). Sort -5, -66, -4, z.\nAnswer: -66, -5, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31001853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111010110110001000000 (base 2) in base 4?\nAnswer: -113112301000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of 0 - 1\/10*r**5 + 1\/120*r**6 + 0*r - 1\/12*r**4 - 7*r**2 - 2\/3*r**3. What are the prime factors of k(7)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -4, -1, -0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00515672 rounded to 5 decimal places?\nAnswer: -0.00516","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8485?\nAnswer: 5, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.16 - -0.72. Let k = q + -0.56183. What is k rounded to four decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**5 + 14*l**4 + 20*l**3 - 4*l**2 - 22*l - 10 = 0. Calculate l.\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4da (base 16) to base 7\nAnswer: -3423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(2 + -3*(-3)\/(-6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1584) + -2)*1*5 + -5*(0 + (-3 + (2 + sqrt(1584) - sqrt(1584) - sqrt(1584)) - sqrt(1584))))**2.\nAnswer: -37800*sqrt(11) + 1942425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (-5)\/3 - 4\/(-12). Let 2\/9*b + k - 2\/9*b**2 = 0. What is b?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**4 - 2*j**4 - 3*j**4)*(-j + 3*j + 0*j) + (-j**2 + 5 - 5)*(5*j**3 + 23*j**3 + 25*j**3).\nAnswer: -57*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-1))\/o*o*o)**31\/(o**(-2\/23)*((o**(-2\/21)\/o)\/o)\/o*o) assuming o is positive.\nAnswer: o**(45973\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-4) + 2\/8. Let x(u) = 2*u. Let v be x(0). Which is the nearest to j? (a) v (b) -0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -77162 and 44982.87?\nAnswer: 122144.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 0.3, 3, 2, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 422527880?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j*j**(1\/2)*j)*j**(3\/8))\/(j**(1\/3)*j*j)**(-37))**(-43) assuming j is positive.\nAnswer: j**(-88967\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/9 (b) -109.3 (c) -0.1 (d) -5 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of p**4\/66 - 10*p**3\/33 + 9*p**2\/11 - 158*p. What is w in x(w) = 0?\nAnswer: 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - 6 - 15 - -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p*p**(-13)*p**(3\/28) assuming p is positive.\nAnswer: p**(-305\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 2 + 89912*w**2 + 18*w - 89914*w**2)*(-12 - 12 + 7).\nAnswer: 34*w**2 - 357*w - 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -311, -981, -1987, -3335, -5031, -7081?\n\"Answer: -u**3 - 162*u**2 - 177*u + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*j - 976 + 196 = 0. Solve q - 10 = -q, -d + 5*q - j = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -m. Let v = -8.4 - -8.1. Let s = -2 + 0. Which is the smallest value? (a) m (b) v (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*g - 2 + 52*g - 155*g + 53*g + 5.\nAnswer: 2*g + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 31. Let h = v + 10. Let t be h\/(-1) - (-24)\/3. Solve -t = -4*c + 2*c, 3*p - 4*c = -7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11820\/3677 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/105 (b) 17 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-116)\/216)\/(2\/36)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -105\/70268588 and 121\/4284670.\nAnswer: 351342940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5a + 7?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -23*g**2 - 21*g + 2 + 19*g + 1089*g**3 - 1095*g**3 in the form m + p*g**3 + y*g + d*g**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-2\/9)*s*s\/s**2*(s\/(s\/s**1))**(1\/8)*(((s\/(s**(-3\/7)\/s*s)*s)\/s*s)\/(s\/(s\/(s\/s**4)*s)*s*s))\/(s**(-7)*(s**(-7)\/s)\/s) assuming s is positive.\nAnswer: s**(10247\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-4 + -3)) + -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*v**4 - 5773*v**2 - 2*v + 5774*v**2 + 2*v**3 + 3*v + 3 to o*v + q*v**2 + p*v**3 + t + b*v**4 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 800 = r + z - 807 + 1586, -11 = -3*r - 17*z + 80 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147498?\nAnswer: 2, 3, 13, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 185597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 71 - 77 = -5*k, 5*l = -4*k + 10. Factor -1\/2*v**3 + 3\/2*v**2 + l*v + 0.\nAnswer: -v*(v - 4)*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/17 - 200*l\/17 + 3712\/17.\nAnswer: -2*(l - 16)*(l + 116)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 5:15 AM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.91898696 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.01, -2\/15, -2, 4?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -41*l**3\/3 + 12*l**2 - 2*l + 11. Does 47 divide d(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**2 + 24*o**3 + 3*o**2 + 11 - 21*o**3.\nAnswer: 3*o**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**5 + 3*p**4 - 3*p**4 - 6*p**5 - 3*p**5 - 2*p**5 + (-4*p**4 + 2*p**4 + p**4)*(0*p + p - 2*p).\nAnswer: -9*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/5 + (-5771661)\/(-245) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 34 + 10\/(-5). Suppose 3078 = 3*q - 2*g, -y*q = -32*q - 4*g - 1036. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 17434171?\nAnswer: 17434166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.16 * -1927313\nAnswer: -308370.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of 3\/100*v**5 + 0 + 0*v**3 + 0*v**4 + 1\/50*v**6 + 162*v + 0*v**2. Let y(g) = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*1*(-1 + -3) - 10. Let c be 1\/((2\/7852)\/(q\/28)). Let t = 21683\/11 + c. Which is smaller: 8 or t?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30414645 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 10871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u**5 + 834*u**4 - 12879*u**3 + 2314*u**2 = 0 for u.\nAnswer: -89, 0, 2\/11, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*h - 122*h - 12997 = -t, 2*h = -t + 12996. Is 50 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254147?\nAnswer: 254147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = 3*h + 522. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 298433 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 688 = -h, -12 = -2*t + 5*h + 676. Calculate the remainder when t is divided by 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5\/20 - 147\/(-4)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -3. Let s be v\/(6\/3 + -3). Suppose 4*y - 2*y - 108 = s. Is 14 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -26*w + 364. Let d be t(14). Let v(l) = -l + 14. Let g be v(12). Factor -2\/3*f**g + 2*f + d.\nAnswer: -2*f*(f - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/8 of a millennium?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 5*a - 310, 5*l + 2*a - 6*a - 310 = 0. Solve -2*t - l = -66 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -4131 and 515 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o**4 - 49*o**3 - 2*o**2 - 41 wrt o.\nAnswer: -24*o - 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100013331203 - 30?\nAnswer: 100013331113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -75*x**2. Let g(i) = -15*i - 2. Give g(k(m)).\nAnswer: 1125*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ydbb when four letters picked without replacement from {d: 1, k: 2, y: 1, g: 1, b: 2, t: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 24*y**3 + y**2 - y - 2. Let z be u(-1). Let v be z\/(-14) + (-2)\/(-7). Suppose 30 = v*s - 26. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 16) in base 12?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283*t - 320*t = -630*t + 297 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.5, -3\/2, -286, -1 in descending order.\nAnswer: 5, 0.5, -1, -3\/2, -286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 339 + -294. Suppose 12*u + 9 - i = 0. Suppose 0 = -r + 26 + 7. What is the greatest common factor of r and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3.4, 1\/5, 3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((2 + sqrt(11))*-6 + 5 + 3).\nAnswer: 4 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/103, -13, 0.0394?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -2) + (2 - 7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-3 - -3455)*(27\/4 + -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1785 is divided by 39672\/88 + (-2)\/(-11) - (-7 + 12).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.08, 24, 4, 0.193, -0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -5.8 (b) 0.52 (c) 7 (d) -0.4 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.602756 nanometers to meters.\nAnswer: 0.000000000602756","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/5 of a meter in centimeters?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 + 42*r**2 + 29*r**2 + 289*r - 108*r**2 + 36*r**2 to the form v*r**2 + j*r + i and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 - 3 - (-2 - 4). Let w(f) = 479 - 476 + 7*f - 8*f. Let t be w(p). Is -1\/15 at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**4 - 5200*z**3 - 15665*z**2 + 20860*z.\nAnswer: 5*z*(z - 1043)*(z - 1)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b + 1 + b**2 - 2*b + b. Let d be u(1). Solve 1 = t - d for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1059d (base 15) to base 4.\nAnswer: 30222322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 126 = 11*z - 14*z, -84 = -3*b + 3*z. Let a be b\/(-55) - (-650)\/143. Solve 11 = -5*p - a for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2350, -9545, -21604, -38581, -60530?\n\"Answer: -9*k**3 - 2378*k**2 + 2*k + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (0 + sqrt(832))*-5)**2.\nAnswer: -400*sqrt(13) + 20825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6119941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -66, -68, -70?\n\"Answer: -2*a - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - 197.\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/6 + (-142)\/4. Let r be (f\/1)\/(-4 - -5). Let l = -21 - r. What is the greatest common divisor of 120 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -385021244 divided by 4.\nAnswer: -96255311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1141629 to the power of 1\/2, to the nearest integer?\nAnswer: 1068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 2814.\nAnswer: 8442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 245231 and 32545657.\nAnswer: 227819599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 111110?\nAnswer: 111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101214790?\nAnswer: 2, 5, 10121479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 6 = -b + 5*p, -b - 5*p = -17. Suppose 5*s + 2*r = 41 + 49, 0 = 2*s - 2*r - 22. Differentiate -l**4 + s + 2 + b with respect to l.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.27 - -0.01. Let w = m - 0.28. Let r = 1 + -1.1. Which is the closest to r? (a) w (b) -0.4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*a**3 + 184*a**3 - 3*a**2 + 3*a**3 - 12*a**3.\nAnswer: 203*a**3 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7806 + 18567. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6889*i**3 - 942963*i**2 + 1754064*i - 821340.\nAnswer: (i - 135)*(83*i - 78)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 38\/8 + (-1)\/(-4). Suppose -o*f = u - 325, -2*f + u = f - 195. Let w = f + -62. What is the greatest common factor of 27 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -99 (b) -6\/11 (c) -2.9 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**2 + 9*t + 10 = 0 for t.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/32*18\/27. Which is greater: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3 = -k + p, 5*k - p = -21. Let u = k - -4. List the prime factors of u\/(1\/7*-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6014171 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -5. Let f be 63\/(-42)*14\/3. Let j(o) = -o + 15. Calculate f*u(y) - 2*j(y).\nAnswer: 2*y + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fttatjfiatfafj. Give prob of picking 2 a and 1 f.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-4*sqrt(171)*-6*3)\/((sqrt(36) - (sqrt(36) + (sqrt(1296)*-1 - sqrt(1296)) + sqrt(1296)))\/(sqrt(48)\/(sqrt(12) - (sqrt(108) + sqrt(12))))).\nAnswer: 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, x: 1, w: 2}. What is prob of picking 1 w and 1 s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -411, -401, -391, -381?\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 19 - 1. Which is the third smallest value? (a) -2 (b) k (c) -3\/5 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/10, 1\/2, -3, 254, -0.4 in ascending order.\nAnswer: -3, -0.4, 1\/10, 1\/2, 254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 310 or 312?\nAnswer: 310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9518371\/192 + 49575. What is the common denominator of a and -19\/216?\nAnswer: 1728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*r - 8172 = 0, -4*r + r - 9 = 0. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2090\/154)\/19*7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 30*k**3 + k**2. Let j be g(1). Let u(a) = a + 18. Let d be u(13). Is j not equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3, 0 = -3*k + t + 3*t + 180. What is the least common multiple of 4 and k?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1448 is divided by 69.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 100091680?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1795?\nAnswer: 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*b + 13*b**2 - 64*b**2 + 39*b**2 + 12*b**2 + 10*b**2 + 1548 wrt b.\nAnswer: 20*b + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3995, -7990, -11987, -15986, -19987?\nAnswer: -23990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -51 or 5484?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 258.5645 centuries in decades?\nAnswer: 2585.645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -38 (b) -2\/17 (c) -2.63 (d) -41 (e) 2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -1\/6 (b) -105 (c) -3 (d) -1 (e) 5 (f) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18586 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 3*h**2 + 4*h. Let c be k(-4). Suppose 5*b - 3*b = 4. Let x be 4*1\/b - c. Solve -x*g = 3*g + 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 859 + 344. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 34*q - 35*q. Let d be (-2 + -1)*(-2)\/(-3). Let x be 3\/(-2 - (d + 1)). Sort x, q, 2.\nAnswer: x, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(540)\/sqrt(2))\/(-6*sqrt(30)\/sqrt(3)).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*k**3)*(3*k - 3*k - 2*k) + (-2*k**2 - 2*k**2 + 3*k**2)*(75*k**2 + 79*k**2 - 123*k**2).\nAnswer: -35*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12002202122120 (base 3) to base 13.\nAnswer: -73c317","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 128514 or -1408?\nAnswer: -1408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 + 0*x**3 - 2*x**4 + x**4)*(115*x + 112*x - 230*x - 20).\nAnswer: 3*x**5 + 23*x**4 + 20*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-24))\/(4\/12*1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 256*a + 2. Let t(h) = h**2 - 4*h - 60. Let l(g) = g**2 - 3*g - 45. Let d(n) = -4*l(n) + 3*t(n). Calculate d(o(u)).\nAnswer: -65536*u**2 - 1024*u - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a**3 - 132*a**2 + 515*a\/2 - 225\/2 = 0. What is a?\nAnswer: -9, 5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*i - 21, -3*i = -3*l - 0*l + 3. Suppose -l*d + 6*d = 112. Is d a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -52 (b) 20 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1940 and 939?\nAnswer: 1821660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -2078.7 to the nearest 10.\nAnswer: -2080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 3 (b) -2 (c) -0.3 (d) -7\/3 (e) -9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 12*d - 22. Let q be f(-8). Suppose q*y - 30 = 20*y. Let n(v) = -9*v**2 - 14*v + 3. Let a(m) = -3*m**2 - 5*m + 1. Calculate y*n(j) + 8*a(j).\nAnswer: 3*j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2793?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 83*n*v - 135*n - 698*v + 119 with respect to v.\nAnswer: 83*n - 698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 12 = -0*p. Let f be ((-2)\/p)\/((-1)\/(-12)). Solve -4*c + 3*t + f = 0, -4*t + 1 = c - 3*t for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 7*k**2 - 10*k - 82. Let i(m) = -13*m**2 + 18*m + 163. Determine -6*i(w) - 11*t(w).\nAnswer: w**2 + 2*w - 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2134.9 + 2135. What is the closest to -51 in -0.2, l, -2, -0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1445*r**2 + 48*r**3 + 121*r**3 + 1449*r**2)*(-3*r + 3*r + r**2).\nAnswer: 169*r**5 + 4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-7 + 6 + 2 + -1 + -35)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, x: 1, g: 2, k: 5, p: 1}. Give prob of sequence gf.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(320) + sqrt(10)\/sqrt(2) + 3.\nAnswer: 2 + 9*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7603*q**2 + 6 + 5 + 1673*q**2 - 11)*(2*q - q**2 - 2*q) to h*q + i*q**2 + o*q**3 + v*q**4 + y and give v.\nAnswer: -9276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 108, 211, 356, 543, 772?\nAnswer: 1043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 4001?\nAnswer: -4006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2\/11 + 18*p\/11 + 40\/11.\nAnswer: 2*(p + 4)*(p + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -13*r + 627. Does 28 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seventy-seven fifths of a micrometer?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 1 = 3*r + 5*c, 0 = 4*c + 4. Let p be r*-4*12\/(-32). Solve -4*m**p - 48*m**3 - 24*m**3 - 56*m**4 - 50*m**2 - 16*m**5 - 2 - 16*m = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of 0*t - 1\/24*t**4 + 0*t**5 + 4*t**2 + 1\/70*t**7 + 0 + 0*t**3 + 0*t**6. Find the second derivative of j(z) wrt z.\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1937\/17 - 114. Let f = -21583\/1615 - -268\/19. Let w = n - f. Which is smaller: w or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - x + 10, -2*o + 4*x + 26 = 0. Suppose -4*y = 15 - 3. What is the remainder when (48 - (-1 - -2)) + y is divided by o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(1\/9))\/(w**9*w))\/(w**(-3)\/w)**(-4\/21) assuming w is positive.\nAnswer: w**(-608\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 173\/(-5) + -2 - (-4)\/(-10). Let i = u + 49. Solve -3*d = n - i, 3*n + 0 = d - 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/161 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 240641 by 104.\nAnswer: 240641\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(-5 + 5 + 1)*(9*z**3 - 4*z**3 - 22*z**3).\nAnswer: 34*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**2. Let n(c) = -c**3 - c**2 - c + 256. Let t be n(0). Let w(i) = t*i - 144*i - 130*i. Determine w(m(b)).\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27759 is divided by 71.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1786479527 to the power of 1\/2, to the nearest integer?\nAnswer: 42267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by -229\nAnswer: 9\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 + 37*m - 175. What is w(15)?\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g. Let q(r) = 4*r. Let a(j) be the first derivative of -j**2\/2 - 4. Let o(z) = -2*a(z) - q(z). Give t(o(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (32\/(-6) - -4)*-21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 362 - 206. Suppose 5*y - f = -y. Calculate the greatest common divisor of 208 and y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 - 0.4. Let x = -0.3 - z. Let i = 1 - 1. Put i, x, -2\/5 in descending order.\nAnswer: i, x, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 119892.5 times -0.05\nAnswer: -5994.625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/2 (b) 4 (c) 11 (d) 10 (e) 0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -226 + 238. Put o, -11, 1 in decreasing order.\nAnswer: o, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23497*4\/((-4)\/(-4) + 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.894432 microseconds in days?\nAnswer: 0.00000000028813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m**2 + 7*m + 6 + 3*m - 3. Let k be f(9). What is k rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -314380 by 2858.\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of 7*t**6\/30 - t**5\/10 - 43*t**4\/12 + 116*t. What is the third derivative of g(s) wrt s?\nAnswer: 168*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, c: 2}. What is prob of sequence mc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 0) + 8 - 6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 110 + -14403?\nAnswer: -14243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -18682007.3*-1\nAnswer: 18682007.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n + 2. Suppose 0 = -3*j + 4 - 22. Let i be (-4)\/j*54\/90*-5. Calculate q(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {e: 4, d: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 14*i - 19*i = 61, 18*a - 187 - 25 = -3*i - 11 for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wso when three letters picked without replacement from {o: 1, s: 1, r: 3, l: 2, v: 4, w: 1}?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 128 and 2?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2432105 is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-136)\/20)\/17*3\/(12\/(-430)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3422*m**2 - 961 + 8273989*m - 8273989*m + 1095 + 2990 wrt m.\nAnswer: -6844*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.92 + -0.12. Let q = v + -6. Let k be 72\/(-360) + -2 + 17\/10. Which is the third biggest value? (a) -0.1 (b) q (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110000010101000111 (base 2) to base 13.\nAnswer: 6c148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -12, 0.5, -0.6, 3\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-6)*2\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 8996.\nAnswer: 26988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/53100 and -95\/9204.\nAnswer: 690300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = x - 3*f, -5*f - 14 = -2*x - f. Let w be x + -2 - 3 - -2. Sort -5, 3, w in descending order.\nAnswer: 3, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1 (b) -19\/20 (c) -20 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 + 469*a - 15*a**2 - 8*a**2 - 469*a.\nAnswer: -25*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 9*s**2 + 18*s + 117. Is 5 a factor of t(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 393*q - 388*q + 10. Let g(u) = -u + 1. Let y be g(2). Which is smaller: y or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((-16 + 13 - -18) + -25) - -1\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pbfpwfxwbpbb. Give prob of sequence wff.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 556800 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 66\/14)\/((-6)\/(-42)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.03 + -0.01. Let z = 0.44 + r. Is 2\/7 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -3*l. Suppose 1 = 5*u - 19. Suppose 6 = u*i - 0*f - f, 3*i - 5*f = -4. Let z(g) = 3*g**2 + 2*g**2 - i*g**2 + g**2. Determine c(z(k)).\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5395 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*t**4 - 271*t**2 - 2513?\nAnswer: 24*t**3 - 542*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 188682226.\nAnswer: 2, 53, 1780021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 x when two letters picked without replacement from xssabsd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1075988 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: Determine l, given that -2*l**3\/3 + 22*l**2\/3 + 28*l\/3 - 16 = 0.\nAnswer: -2, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56 + -47. Let v(o) = -555*o - 5. Let b be v(n). What is b rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + (-4)\/(8\/(-14)). Let w be (-3 - 0)\/(-1) - x. Let h = w + 26. Calculate the highest common factor of 184 and h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/sqrt(4)*-1)\/(sqrt(81)\/(sqrt(36)\/sqrt(4))).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 33. Let u = -52.3 - -55. Let n = u - 2.7. Sort 2\/13, z, n in decreasing order.\nAnswer: z, 2\/13, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -5*z**4\/3 - 733*z**3\/3 + 1904*z**2\/3 + 17236*z\/3 - 2384 = 0.\nAnswer: -149, -4, 2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3882, 30978, 104506, 247680, 483714, 835822?\nAnswer: 1327218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*n**4 + 833964*n**3 + 3335757*n**2 - 14177364*n - 50037120 = 0. What is n?\nAnswer: -277984, -5, -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 17 (b) -202 (c) 4 (d) -5 (e) -2\/405\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 1382*u**2 + 32*u + 32. Calculate the remainder when a(-1) is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10727 + 10727. Which is smaller: -1\/1090 or y?\nAnswer: -1\/1090","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -q**5\/2 - 4*q**4\/3 + 19*q**3\/3 - 6*q**2 + 14*q. Determine v so that n(v) = 0.\nAnswer: -3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 10. Suppose -2*j + s*j = 12. Solve 2*i - j = 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4209513806.\nAnswer: 2, 127, 16572889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.021324695524386 - 0.1?\nAnswer: -0.078675304475614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -368 - -376. Let j(y) = 0 + 4*y - y - y**3 + 7*y**2 + 4 + 5*y. What is j(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5761, 23139, 52103, 92653, 144789, 208511?\nAnswer: 283819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, -5, 0.2, 0.3, -137?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-10) + (-37740)\/50 + -3. Let k = 1412 + i. What are the prime factors of k?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -148 - -147.94. Suppose r = -4*a + 13, 3*r - 4 = 4*a + 3. Let l be r\/(-6 + (-2)\/(-1)). Put -4, v, l in descending order.\nAnswer: v, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x + 10. Let f be m(-14). Suppose -6*b = -4*b. Let s = b - f. Solve z = 2*k + 6 + 2, -10 = -s*z - 3*k for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27.66 + 0.66. Let d = -27.5 - l. Which is the second smallest value? (a) -1\/4 (b) 1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1 and 173.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**2 + 3*t + 0*t**2 - 7*t**2 + (-t + 4*t - t)*(33*t - 14*t + 17*t).\nAnswer: 67*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -79 + 149. Let w = -22 + 22. Let h be w - t\/(-2) - 1. What is h rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -u**4\/24 - 4*u**3 + 9*u**2\/2 + 47*u. Let z(w) be the first derivative of y(w). Calculate z(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 8*d**2 - d - 7. Let h be f(-8). Suppose 3*l - 4*i = -3, -3*l - 2*i - 3 = -3*i. Is (0 + h)*l - -128 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80818376?\nAnswer: 2, 10102297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 8:20 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 75.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 7:56 PM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/6*(2970\/(-132) - -19).\nAnswer: -35\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.134 + -0.033. Let h = -0.09785 + g. Round h to 4 dps.\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 + -71. Let j = q - -17. Let x = 25.3 + j. Which is the third smallest value? (a) 5 (b) -2\/13 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349978210.\nAnswer: 2, 5, 34997821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 444991973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 393.91 and 0.4.\nAnswer: 394.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34043420 (base 6) to base 13.\nAnswer: -2a1bcc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h + 2*h**2 + 4 - 4)*(60835*h - 5256*h**2 - 60835*h) to d*h + l + x*h**2 + z*h**4 + v*h**3 and give z.\nAnswer: -10512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -67465 - -2672?\nAnswer: -64573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -3. Let c be (3 - (d - -3)) + -2. Suppose -4*g + 30 + 58 = c. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2796 less than or equal to 1819?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1406.8 - 1405.8. What is the second smallest value in -0.2, w, 0.2, -10\/9, -4?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h**2 + 1. Let s = -60 - -138. Suppose 2*u + 4*z = 146, 19*u - 22*u + 2*z = -235. Let x = u - s. Determine q(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 3*c - 3. Let s be a(2). Sort 2, s, 5, 12 in decreasing order.\nAnswer: 12, 5, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 21*w - 20 + 2*w**2 - 9*w - 3*w**2. Let z be t(10). Solve 0*k = 5*k + 4*x + 24, z = 5*k - 2*x + 18 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + -3 + 7)\/2. What is the highest common divisor of 5 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 2) to base 16\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -bd + 11?\nAnswer: -ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.59 + -0.59000016. Round j to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - i + 55 = 0. Calculate the remainder when 42 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**6\/120 - a**5\/20 - 4*a**2. Let g be q(3). Suppose -2*s - 3*r + 10 = g, 4*s + 2*r = 22 + 6. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 105 + -1?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 171597140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 7:41 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -398042010848232.\nAnswer: -398042010848229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from iiibibhiiiihhh?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 8*y + y + 5*y + 0*y - 4*y + 2*y - y + 0*y - 2*y + (-3 + 3 - 1)*(-3*y + 4*y - 3*y) to the form s + z*y and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 7*q + 58. Let u be m(13). Let s be (10\/70)\/(u\/7 + 2). What is the nearest to 2\/3 in s, 0.4, -0.02?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3172473 is divided by 348.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-30)\/(-20))\/(1\/4). Suppose -v - 12 = -2*j. Let c be (-15)\/(-10)*1158\/j. What is c rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, v: 6, y: 4}. What is prob of picking 2 v and 1 y?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 873 a factor of 1208318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 + 0.31. Let h = t - -4.99. Let x = -0.03 + -0.17. Which is the third smallest value? (a) x (b) -1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15690.41 years to centuries.\nAnswer: 156.9041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 14 + 9)*(-2*s + 4*s + 0*s)*(-s**3 + 3*s**3 - s**3).\nAnswer: -30*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 129407, 129404, 129401, 129398, 129395, 129392?\nAnswer: 129389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1370 and 1644?\nAnswer: 8220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 1659?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, h: 11}. What is prob of picking 2 i?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 30. What are the prime factors of n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3842 and 0.81245.\nAnswer: 3121.4329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 60e4a (base 15) in base 12?\nAnswer: 12978a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6142652, -6142662, -6142664, -6142646, -6142596, -6142502, -6142352, -6142134?\nAnswer: -6141836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78366?\nAnswer: 2, 3, 37, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*b - 138*b = -77*b - 65 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 2*w**6\/15 + 16*w**5\/25 + 3*w**4\/5 - 16*w**3\/15 - 8*w**2\/5 - 376. Suppose m(c) = 0. What is c?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(-20))\/(((-6)\/15)\/2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adqzu. Give prob of sequence aq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzqqzqzzqzzzzqz. What is prob of sequence zzqq?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2613 is divided by 370?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -383*s. Let m(o) = -19*o + 12*o + 9*o. Calculate b(m(n)).\nAnswer: -766*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8364 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -154 = 12*b - 226. Put -3, -4, 1, b in descending order.\nAnswer: b, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 11*b + 1410 = 0. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.6979493 - -1.59794878. Let d = 1.5 - 2.6. Let k = p - d. What is k rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26866 times -1.1?\nAnswer: 29552.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 553366950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1866609.\nAnswer: 3, 207401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3813 + 3808. Let y(d) = -3*d**2 - 3. Let j(q) = -2*q**2 - 2. Determine p*j(a) + 3*y(a).\nAnswer: a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22.054 + -0.054. Let y = p + -22.3. Which is the nearest to y? (a) -2 (b) 3 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 151 = 106. Let l(b) = -67*b - 212. What are the prime factors of l(u)?\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of -q**5\/12 + 3*q**2. Let t(d) be the second derivative of d**3\/3 - 5*d. Determine t(h(p)).\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 39 = -13*w. Suppose 4*l = -w*u + 7*u + 40, 5*l + u = 20. Let m(x) = 14*x**2 + 1. Let k be m(1). Solve -2*n = -l*n - k for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h + 478589051 - 478589051.\nAnswer: -6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence faaa when four letters picked without replacement from afffaffaaffffaffff.\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**4\/6 - w**3\/2 - 17*w**2. Calculate the least common multiple of 1 and g(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 648971?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 4*p - 9*p - 8*p.\nAnswer: -16*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 628*u = 633*u + 231*z + 4394, u - 6*u + 52 = -3*z for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 55*q**2 + 415*q. Determine c(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**2 - 29*x - 20. Give h(-15).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*p**3 + 9*p**2 + 19*p**2 - 26*p**2 - 5*p as w + n*p**2 + k*p**3 + o*p and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**2. Let x(a) = -14*a**2 - a - 3. Let c(r) = 24*r**2 + 2*r + 5. Let n(u) = 3*c(u) + 5*x(u). Give n(h(k)).\nAnswer: 8*k**4 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 49907*r - 7. Let x be c(2). Suppose 68880 = 9*u - x. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of 0*y**4 + 0*y**5 + 0 - 1\/1008*y**8 + 0*y**3 + 94*y**2 + 0*y + 1\/315*y**7 + 1\/120*y**6. Find j such that s(j) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -73, -115, -159, -205?\nAnswer: -253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, c: 4, a: 6}. What is prob of sequence aa?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39.7 - -12.3. Let w = i + -159. Let r = 106.999706 + w. What is r rounded to five decimal places?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(245) - (-3 + sqrt(245)*3) - (sqrt(245) + (6*sqrt(245)*1)**2 + sqrt(245))))*1.\nAnswer: -8812 - 28*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2899322341 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l**4 - 11*l**2 - 6*l. Let m(h) = h**4 - 2*h**2. Let i(k) = 2*m(k) - u(k). Solve i(f) = 0 for f.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (200\/(-35))\/(-8) + (-2)\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -7. Suppose -4 = 7*z - 5*z - 2*h, -2*h + 7 = z. Put u, z, -2\/5 in ascending order.\nAnswer: -2\/5, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 258034 by -301.\nAnswer: -36862\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 1:58 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*m + 89*m + 15*m.\nAnswer: 69*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gss when three letters picked without replacement from szsssqgqqzngqsqs.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 462*u + 9763. Is d(75) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1792*a*k**2 + 133*a*t**3 + 2*k**2*t**2 + 15*k*t**3 - 22867*t**2 with respect to a.\nAnswer: -1792*k**2 + 133*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a year in months?\nAnswer: 201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8989.11l?\nAnswer: 8989110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3 + 556222*j**2 - 22252080*j.\nAnswer: 2*j*(j - 40)*(j + 278151)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from asqasaasqsssaqass. What is prob of picking 1 s, 1 q, and 2 a?\nAnswer: 18\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29684?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -40 - -639?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 + (-3 - (-25 - 11)) + -53?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-30)\/90)\/(2\/(-204)))\/(2\/28*14)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -684*d**5\/13 + 1004526*d**4\/13 + 3417286*d**3\/13 + 1027784*d**2\/13 - 482840*d\/13 + 35328\/13 = 0.\nAnswer: -3, -2\/3, 2\/19, 1\/6, 1472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 844 is divided by 119.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3*m = -354, -4*m - 356 = 4*j - 0*m. Let s = -84 - j. Suppose 13*o - 36*o + 69 = 0. What is the remainder when o is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-6))\/((-5)\/15)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -33 - (47 - 19306\/245)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/92 and -25\/363.\nAnswer: 33396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + -3a?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -7. Let i(x) = -x + 1. Let f(j) = 7*i(j) + s(j). Let c(v) = 8*v. Calculate f(c(t)).\nAnswer: -56*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*2\/12*-42. Solve -2*m = u - 23 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - -4. Let x = -12 - -12. Suppose x = -4*y + d*y - 12. Solve 0 = -6*o + 2*o + y*i - 26, -2*i - 1 = o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 + 9*p**2 - 71*p - 6. Let u be b(-14). Suppose -7*w - 1130 = -u*w - 3*t, 1128 = w + 5*t. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n + 1. Let j be h(-1). Suppose 3 = -3*z + j*z. Let s(c) = -2*c - 2. Let t be s(z). Solve -3 = t*i - 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 9 = -3*g, 5 = -2*j + 7 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -222426, -222481, -222572, -222699, -222862?\nAnswer: -223061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1497 a factor of 499731549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2 + 553638528*a - 19157226230375424.\nAnswer: -4*(a - 69204816)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12 - -10)\/(1 - (-7)\/(-3)). Let s = -0.252 + -0.048. What is the second smallest value in -1\/3, n, s, 2\/11?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-3) + -14*14\/21. Which is greater: k or -26\/3?\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 121) + 6 - (137 - 137) - -10.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, 36.5, -13, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 6*o - 6. Let h be r(6). Let i be 2\/h - (-88)\/3. Suppose p - c - i + 2 = 0, 0 = -p - 2*c + 27. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r**4 - 18*r**3 - 20*r**2 + 6*r = 0. Calculate r.\nAnswer: -1, 0, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.12 + -0.34. Let g = 0.08 - m. Let x(v) = -v - 5. Let p be x(0). Sort -2\/9, p, g.\nAnswer: p, -2\/9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w**3 - 5*w**3 + 2*w**3)*(w + 0*w + w) - 2*w**3 + 2*w**3 - 4*w**4 to b*w + p*w**4 + o*w**3 + c*w**2 + g and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52*n**3*r**2 + n**3*r - 14*n**2*r - 113*n*r**2 - 4*r**2 - 5 wrt n?\nAnswer: 312*n*r**2 + 6*n*r - 28*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2\/9, 0.04 in ascending order.\nAnswer: -2\/9, 0.04, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -553315010 + 181.58.\nAnswer: -553314828.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a7 - 261?\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -8*d**5 - 2*d**4 + 45*d**2 - 2. Let t(v) = 24*v**5 + 7*v**4 - 134*v**2 + 7. Let s(z) = 2*t(z) + 7*x(z). What is the third derivative of s(w) wrt w?\nAnswer: -480*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1459*v + 3 + 4 + 1462*v.\nAnswer: 3*v + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -455785, -455796, -455821, -455866, -455937, -456040, -456181?\nAnswer: -456366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j + 1 - 25*j**3 + 7*j**3 - 6*j**3 to m*j**3 + w + u*j**2 + f*j and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 24\/231 + (-3)\/(7 + (-329)\/14). What is the second smallest value in 0.1, c, -5, -0.043?\nAnswer: -0.043","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/2 + (-1)\/(-2). Let t(i) = 59*i**2 - i - 1. Is t(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -201, -171, -113, -15, 135?\n\"Answer: 2*k**3 + 2*k**2 + 10*k - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 4 + 3 - 4*j**2.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (14 - (-182)\/(-5 + -8))\/(0 + 1). Solve 5*a + 20 = r, -12 = 4*t + 21*a - 18*a for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((13440\/(-252))\/(-40))\/(-1*2\/24)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 14. Let z = -0.11 - 4.89. Let s = z - r. Which is the nearest to -1? (a) s (b) -0.4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1426 + 3565 + 4*d**2 + 3570 - 5709.\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3185 + 3257. Calculate the remainder when c is divided by 33.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**2 + r**2 + 0*r**2)*(-615*r**2 + 2288*r**2 + 2739*r**2 - 655*r**2).\nAnswer: -11271*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/3)\/(1*-1). Suppose -3 + 62 = -n. Let v = 237\/4 + n. Which is smaller: v or z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 6\/1086007?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1894 * -9.2.\nAnswer: 17424.8","meta":{"dup_signals":{},"source":"arithmetic__mul_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: Round -0.00001936426 to 6 dps.\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 4, 13, 5 in descending order.\nAnswer: 13, 5, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in millimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a - 9. Let l be t(8). Suppose -3*y + 6 = -l. Suppose m = 2*v - 5, 4*v - 4*m = -m + y. Solve 0 = -v*q - 16 - 4 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 7 = -2*a - 2, 0 = 4*a - 3*k - 21. Which is bigger: -2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 5*a**3 + 4*a**2 - 4*a - 21. Let j(c) = -14*c**3 - 11*c**2 + 12*c + 66. What is -6*j(d) - 17*w(d)?\nAnswer: -d**3 - 2*d**2 - 4*d - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -2 (b) -1\/5 (c) -3\/8 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 0*f = -k + 1, 3*k - 4*f = 7. Sort -0.01, k, -0.3 in decreasing order.\nAnswer: k, -0.01, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -9*u**2 - 12*u - 2. Determine m(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29349*k**4 - 10*k**2 + 123?\nAnswer: -704376*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 89984 and 3040.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6875 - 3282. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00036126 to 6 decimal places.\nAnswer: -0.000361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-46 - -16 - -20) + -8\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 5*z - 136 - 64, 10 = 2*c. Let h(u) = -21*u - 22*u + z*u - 15. Let m be h(9). Let q(n) = -n**2 - 7*n - 7. What is q(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**2 + 6*a. Let j(m) = m**3 - m**2 + m. Determine 3*j(t) + o(t).\nAnswer: 3*t**3 - t**2 + 9*t","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 2*v**2. Suppose -5*b + 2*s + 45 = 0, 5*b - 6*b - 2*s = -9. Let k be (-26)\/(-4) + (-1)\/(-2). Let u(f) = -4*f + k + 0*f - b. Calculate u(l(m)).\nAnswer: -8*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -338395 or -2030377\/6?\nAnswer: -338395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {g: 7, z: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 - -18. Let r(c) be the first derivative of -2*c**2 - 4*c**2 + 4*c**3 - 8 - d*c**5 + 6*c**2. Find the third derivative of r(j) wrt j.\nAnswer: -240*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*8\/(32\/(-3))*(-38)\/19.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 456138 + -3?\nAnswer: 456135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25645 (base 10) to base 2.\nAnswer: -110010000101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v + 2*v - v)*(-1 + 1 - 2).\nAnswer: 10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -4*f**3 + 9*f**2 + 9*f - 227. Let b be l(9). Which is smaller: b or -2332?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a century in years?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 17*m + 18*m + 1 - 5*m. Is q(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 2*q = -24, -393*b + 989*b - q - 8943 = 0 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/220)\/((-1)\/8).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 520 (base 6) to base 9.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1717210 and 6990.\nAnswer: 2330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+193711103\nAnswer: 193711103.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-64)\/((-1216)\/285) + -11. Let q(r) be the first derivative of 1 - 5\/3*r**3 + 3\/2*r**2 + 5*r + 1\/4*r**4. What is q(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 4 (c) -349 (d) -1\/194\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/5)*v*v**(-8)*((v**(-1\/4)*v*v*v)\/v)\/v**(-6\/7) assuming v is positive.\nAnswer: v**(-643\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2424 and 8888?\nAnswer: 26664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m, 4*j + 5*m + 24 = -0*m. Let h be 14\/(-6) + (-2)\/j. Does 5 divide 2*(9\/2 + h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 4*g**2 - 3*g + 2. Let j(d) = -2*d**3 + 9*d**2 + 7*d - 5. Suppose -h + 4 = 5*w - 24, -5*w + 4*h = -38. What is w*j(z) + 14*x(z)?\nAnswer: 2*z**3 - 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - -31980.\nAnswer: 31979.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 h, and 1 c when three letters picked without replacement from {o: 4, h: 3, s: 1, q: 1, c: 4}?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of 14069*b**5\/20 + b**3\/6 - 156*b**2 - 202*b + 4. What is the second derivative of m(f) wrt f?\nAnswer: 84414*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = k + 2*l, -5*l + 28 = 4*k - 2*l. Let r be ((-6)\/(-7))\/(((-12)\/(-28))\/(-3)). Calculate the remainder when r\/(21\/6 - 4) is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 2:22 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 28, 0 in descending order.\nAnswer: 28, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-148)\/(-18) - 8).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -301994, -603991, -905988?\n\"Answer: -301997*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express f**2 + 26432*f - 2*f**2 - 26432*f - 1652 as n*f + v*f**2 + a and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 5*q**2 + 4*q + 5. Let g be y(5). Solve -f + 6*f + g = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-93 - (99 - 229)) + 37 + -3?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*k**3 - 11*k - k**2 + 15*k**3 + 13*k**3 as n*k**2 + w*k + o + h*k**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 15. Let k be h - (-1)\/(1\/4). Let t(x) = -x + 2*x + 2 + x**2 - 5*x. Give t(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (123 - 98 - 70)*(-2 + 2*b + 2).\nAnswer: -90*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (1 - (5 + -18)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 37981?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -2*z - 2, 0*q = 3*z + 2*q - 21. Let w be -22 + 25 - (1 - z). Sort 5, w, -3, 2 in increasing order.\nAnswer: -3, 2, 5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -480 divided by -80\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40824 by -2129.\nAnswer: 40824\/2129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -894, -1\/33, 3, -3\/7?\nAnswer: -894","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34861\/414 + -2122\/23. Calculate the common denominator of x and (4 + (-113)\/6)*-1.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**4 - 946*w**3 - 112336*w**2 - 111392*w.\nAnswer: -2*w*(w + 1)*(w + 236)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 10 = 2*m, -m - 4*k = -5 + 16. Suppose -m*t + 16 = -4. Suppose -150 = -3*h - 5*a + 80, 0 = t*h + 4*a - 296. Does 16 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -15884*j - 127251. Give p(-8).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 158*k. Let l(s) = 366*s**2 + 3*s - 18. Give f(l(g)).\nAnswer: 57828*g**2 + 474*g - 2844","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 6\/237035?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**6\/x)\/x**(-2))**(-18))**(-47) assuming x is positive.\nAnswer: x**5922","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g**3 + 0*g**3 - 11*g**3 - g**2 + 43*g**3 + 3*g in the form u*g**2 + f*g + n + w*g**3 and give w.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2591 is divided by 175.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/15*(-3)\/(-2). Suppose -4*d + 8*d = 0. Let t be d\/(-1) + -1*1. Which is smaller: t or f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m + 32. List the prime factors of h(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -9. Let g = r + 9. Is 6 a factor of (-12)\/7*(-126)\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597958049 to the power of 1\/4, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -14731, 22, 0.\nAnswer: -14731, -0.5, 0, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*m + 12*m - 472. What is the common denominator of (74\/(-6))\/(20\/3) and (-16 - -15)\/((-44)\/m)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -855*y**4 + 9651*y**2\/2 + 1464. Find the second derivative of r(m) wrt m.\nAnswer: -20520*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2632542635 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/2)\/(9\/2016*14).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 - 0)*(7 + (-1043)\/(-14)).\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 15 = v, v = -4*j - 0*v + 33. Suppose d + y = -y - j, -4*y = -4*d + 28. Sort 0.5, -0.4, 3\/2, d in descending order.\nAnswer: d, 3\/2, 0.5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5374536, 5374538, 5374540, 5374542, 5374544, 5374546?\nAnswer: 5374548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 - 32233302?\nAnswer: -32300000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -8. Suppose x - 2*d - 40 = 0, d - u = -3*d. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 + 113 + 90 + (4 + 0 - 2)*(4 - 3 + 0))*(o**2 + o**2 + o**2).\nAnswer: 696*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 18*w**2 + 20*w - 19. Let b be f(19). Solve 4*y - 2*l - 14 = b, 4*y + 5*l + 21 = -0*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 2\/3 (b) 2\/13 (c) 26999\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 43 = -3*i, -z + 23 = 3*i - 2*z. What is the remainder when 14 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 16*n**2 - 23*n - 35. Let w be v(-17). Let h = w + -70. Calculate the remainder when (-3)\/(27\/(-6)) + (-256)\/h is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -1372*k**2. Let u(o) = 13*o. What is u(d(h))?\nAnswer: -17836*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -35 + 45. Let v = 84617726 - 84617736.00000272. Let i = y + v. Round i to seven decimal places.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 4:23 AM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/2236 and -47\/2236.\nAnswer: 2236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16*k**3 + 2*k + 594?\nAnswer: 48*k**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -4*b + 1, -3*w - 5*b = -81. Let q be 88\/w + 1\/4. Suppose -3*o - 112 = 2*r + o, -4*r = q*o + 209. Which is greater: r or -49?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -1. Suppose 4*h = i - 13, i + 3*h + 10 = 2*i. Let r(d) = 6*d - 9. Calculate i*r(o) - 9*v(o).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 29*u**2 + 78*u - 395. Let r be s(27). What is the greatest common factor of 2629 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) + ((sqrt(114)*-1 - sqrt(114)) + sqrt(114))*5)\/(sqrt(6) - (sqrt(6) + (sqrt(72)\/sqrt(4))\/sqrt(3))).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 130 + 36 = -2*b + 50, 5*b + 110 = -3*x for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 4*h - 2. Let m be y(-5). Let b be 2 - m - (-1 + -2). Suppose -b*w + 115 = -w. What is the highest common factor of 46 and w?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (82\/39 - 2)\/(3978\/5967).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 486009.\nAnswer: 3, 54001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 579228 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 2:49 PM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -8*p**2 - 41*p + 399. Give v(-10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5029 divided by 107.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 2. Suppose 10*b - j - 11 = 5*b, -2*j - a = -3*b. Solve -3*z + 3 = z + 5*t, -b*z = 2*t for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-72)*3 - (-5547)\/(-3096).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 628 and -4.\nAnswer: -2512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) - (sqrt(70) - (sqrt(70) - ((sqrt(70) + 2*sqrt(70))*6 + sqrt(70) + sqrt(70)))) - sqrt(70))\/(sqrt(90)\/(1*sqrt(9))).\nAnswer: -20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1677?\nAnswer: 3, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 210425\/(-4430)*5\/2*84\/175?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.5 - -7. Suppose 2*m + 21*l - 11 = 18*l, 6 = 2*m - 2*l. What is the closest to 0 in k, m, -6?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1476 + 1473. What is the nearest to -1 in 4\/3, -4, 65, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 4, 107?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 7:23 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_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: What is the next term in -81549, -326246, -734069, -1305018?\nAnswer: -2039093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/54556663 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 78*b**3 + 7*b**2 + 2148*b wrt b?\nAnswer: 468*b + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.489421093 minus 85?\nAnswer: -79.510578907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1510780.19839 - 1510800. Let z = v + 19.8. What is z rounded to 4 dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*d**5 - 3000*d**4 - 148688*d**3 - 1948884*d**2 - 5980414*d - 4177236 = 0 for d.\nAnswer: -223\/3, -14, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 10882, 0.02 in decreasing order.\nAnswer: 10882, 17, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*a**2 + 7*a**2 + 26*a**2.\nAnswer: 114*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/513, 10\/3, 0.3, -4, 5\/6, -18 in descending order.\nAnswer: 10\/3, 5\/6, 0.3, 1\/513, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l - 3*l + 13*l + 8*l.\nAnswer: 19*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -231, -262, -293, -324, -355?\n\"Answer: -31*m - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/18 + (-920)\/180)*1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 10 + (-30 + -6 - -10)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**4\/3 + 3640*t**3\/3 - 1615676*t**2\/3 - 12292280*t - 68424774.\nAnswer: -2*(t - 921)**2*(t + 11)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-117) + (-954)\/(-12402)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(19) + 3)**2*5.\nAnswer: -560 - 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 92359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -54 (b) -0.5 (c) -2\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 14725224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -2*t**2 - 61440*t. Let b(o) = 45*o**2. Give f(b(k)).\nAnswer: -4050*k**4 - 2764800*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1712 - -106151\/62. Let h = -355\/124 + a. Find the common denominator of h and -2\/97.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4037*n + 1303*n + 3 - 3 + 1963*n to the form g*n + w and give g.\nAnswer: 7303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2 - 27*k**3 - 13*k**3 + 1 + 15*k**3. Let h be x(-1). What is the highest common factor of h and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 5*g - 9. Let f = -3 + 3. Solve f*z + 6 = -g*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*i - 4*i**4 - 9*i**3 + 7*i**3 + 3*i**4 + 2*i**2 in the form a*i**2 + l*i + o*i**3 + x + u*i**4 and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/((5\/3)\/(-5)). Let x be (10 + -9)*(-1 - -1). Solve -m + x = -r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3*p**3 + p - 2. Calculate u(2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - 4 + 16. Suppose -22 = -k + 4*z, r*k = -z - z + 108. Let m = k + -14. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5774 and -0.534.\nAnswer: -3083.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 272 divide 105968480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 6*z - 23. Let b be c(9). Suppose 3 = -o, 6*o = -3*i + b*o. Solve v + i*v - 6 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 261019\/114570 + -3\/6365. Find the common denominator of -46\/93 and q.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**2 + y + 2. Let l be x(0). Suppose -l*c = 2*c + 8. Put 0, 2, c in decreasing order.\nAnswer: 2, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3974 + -3974. Let g(t) be the second derivative of 0*t**4 + 0*t**2 - 2\/21*t**7 - 5*t - 2\/15*t**6 + i + 0*t**3 + 2\/5*t**5. Factor g(r).\nAnswer: -4*r**3*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 0, 314?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + -15. Suppose 0 = -r - 3*i - g, -23*r + 19*r - 2*i = 0. Which is the nearest to -0.2? (a) r (b) -12 (c) -4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/24 and -83\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 7*j - 81929 = 13746. What are the prime factors of j?\nAnswer: 5, 43, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**3 - 3*h**2 - 3*h - 4. Let j be l(-3). What is the tens digit of j\/2 + (-14)\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 12) to base 3\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 + -14. Let z = 15 - p. Suppose a + 0*a - 19 = 5*n, -z*a - 4*n = -37. Calculate the remainder when 25 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 10 = -4*o - 8, -3*q - 14 = 4*o. Suppose -5*u + q*r = 4*r - 18, -16 = -4*r. Solve u*a - 4 = -2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in -79, -0.5, -3\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -514551*a**4 + 4*a**3 - 15619784*a wrt a?\nAnswer: -6174612*a**2 + 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Add -59.114 and -32.\nAnswer: -91.114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hmhqhmqqmmhmqhm. What is prob of picking 2 m and 1 q?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31600977*c**2 - 1470*c - 2316 wrt c.\nAnswer: -63201954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 909.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -7*u - 5. Let b be 2\/(-4*2\/(-24)). Let m(l) = 8*l + 6. Let g(h) = b*c(h) + 5*m(h). Let k(j) = 4*j. Calculate g(k(y)).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -22579\nAnswer: 2257.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3\/5 + 32*x**2\/5 + 18*x - 324\/5.\nAnswer: 2*(x - 2)*(x + 9)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 14 + -14 - -13?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8780276 is divided by 603?\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 + 10*u + 6. Let o be q(-6). Let z = o + -8. Let b = -8 - -26. Calculate the remainder when b is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 51*w - 4*w**2 - 58*w - w**2 + 2*w**2 + 7. Let b(n) = n**2 + 2*n - 2. Give 7*b(m) + 2*f(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 30488395.98 plus 0.00003?\nAnswer: 30488395.98003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 4*n + 2 = 0, j = 5*n - 0*n - 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*z = 5*z - 13, -5*z + 15 = 0. Let w(c) be the third derivative of c**4\/24 + 7*c**3 - 2*c**2. Let u be w(-13). Solve b*f - u = -4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 - -0.2. Let k be 17\/19 + 0 + (-6 - -5). Sort k, o, -0.4.\nAnswer: -0.4, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -24 and 1.015556.\nAnswer: -24.373344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + z + 1)*(2*z + 5 - 5) + (2*z - 2*z - 2*z)*(2 - 2 + 3*z) to s*z**2 + p + g*z and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -211 + -2?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2 = 5*x + 2*o, 5*o = -x + 5. Suppose 8 = -x*a + 4*a. Sort -4, -2, a in increasing order.\nAnswer: -4, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/128440 and 101\/77064?\nAnswer: 385320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134017, 268039, 402061, 536083, 670105, 804127?\nAnswer: 938149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3 + 463590*f**2 + 1390788*f.\nAnswer: -2*f*(f - 231798)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 33*p + 334. Let o be g(-10). Let d = -1 + 1. Let u(a) = 7*a - 10. Let i be u(2). Solve -o*w = v, d = v - i*w + w for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, d: 2, n: 4}. What is prob of sequence nccc?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-230)\/(-9522))\/((-5)\/(-6)))\/((-2)\/6).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9029 divided by 50?\nAnswer: 9029\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/(y**27*y))\/(y*y**(1\/2)*y*y))**(-1\/19))**(-2\/9) assuming y is positive.\nAnswer: y**(-61\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3*a + 6. Suppose 819*k - 823*k = -3444. What is the remainder when k is divided by x(6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**2\/4 + 7793285*x\/2 + 60735291091225\/4 = 0.\nAnswer: -7793285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 13*k**3 + 3*k**2 + 21*k - 37. Let z(h) = -7*h**3 - 2*h**2 - 12*h + 19. Calculate 4*y(t) + 7*z(t).\nAnswer: 3*t**3 - 2*t**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 16*q = -12*q - 10, -2*a + 2*q = -22. Solve -u - 10 + a = 3*j, -2*j = u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/4 (b) -44\/69 (c) -54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00139452 rounded to six dps?\nAnswer: 0.001395","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3\/5 - 38292*m**2\/5 + 11531568*m\/5 - 171639744.\nAnswer: -3*(m - 148)**2*(m + 13060)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**2\/2 - 51*d - 103\/2 = 0.\nAnswer: -1, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 2*w = 10, 5*k + 5*w + 19 = 4*w for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -674 + 644.1. Let h = 32 + j. Let u = h + -2.6. Which is the closest to -2\/9? (a) u (b) 2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/13 - 15446620*i\/13 + 29824758678050\/13.\nAnswer: 2*(i - 3861655)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11010011 (base 2) in base 14?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 44308050*k**3 - 895*k**2 - 3*k - 417 wrt k.\nAnswer: 265848300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 63790667783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 1 + c**3 + 2*c + 1 + 5*c**2 - 8*c. Let o be d(-6). Let r be o\/22*(4 + -2). What is the third smallest value in r, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 24 = 2*k, -4*a - k + 96 = -5*k. Let x = 541 + -525. What is the highest common divisor of x and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -49, 7 in ascending order.\nAnswer: -49, 0, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 2*w - 6. Let o be s(-4). Let y = o + 2. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/75 in 2, -1\/6, -2\/101, -1\/13?\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10020524 divided by 5010262\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 + 9. Let k(t) = t**3 + 15*t**2 - 4. Let y be k(x). Let q be (y\/(-6))\/(42\/27). Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-58))\/(-6*18\/216)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - (-278)\/14)*(113 + -92)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.08 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.07 - 0.23. Let m = c - -0.3. Let d = -1.241 - -1.111. What is the second biggest value in -2, m, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 5*o - 33. Let f be h(9). Suppose f = -2*n + 122. Suppose 0 = -2*j - 3*i + n, 0*j - 5*j = -4*i - 80. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/4*(300 + -4). Let b be -2*(-20)\/(-8) - (-85 - -3). Let t = p - b. What is the remainder when t is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 577, 0.1 in ascending order.\nAnswer: 0.1, 0.3, 577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of -w**7\/147 + 3*w**5\/70 + w**4\/21 - 7*w + 5. Let a(o) be the first derivative of f(o). Factor a(q).\nAnswer: -2*q**2*(q - 2)*(q + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bszkzzztzt. Give prob of sequence kbts.\nAnswer: 1\/2520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114102344 (base 5) to base 11.\nAnswer: 335823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 324*v**2 + 253*v**2 + 275*v**2 + 96*v**2 + 164*v**2.\nAnswer: 1112*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*y = 80*y + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54632 is divided by 13657?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 68 + 68. Suppose 3*l - j = -l. Is l a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/25)\/((512\/45)\/(-64)).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 101.73993.\nAnswer: -508.69965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2105707 a multiple of 572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/5 (b) -2\/1423 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2 (b) -0.05 (c) 9 (d) -129\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-11)\/((-176)\/(-24)))\/((-3)\/6). Suppose 31*k - w*k - 308 = 0. What is the greatest common divisor of 1 and k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 0)\/((-70)\/2478). Let p be -1 - (3026\/(-90) + -3). Let h = p + j. What is the second biggest value in 1\/5, -0.3, h, -0.2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -67*c**2 + 1118*c - 733. Determine v(16).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 523214?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2639 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: Suppose 155 = -6*t + 11*t. What is the common denominator of -18\/5 and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49881 is divided by 182?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 849906 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 71 - (7360 - 7417).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 6*k - 16 = 2*k, 21 = 4*m + 5*k for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (68322\/772)\/((-1 - 22\/(-4))\/6). Calculate the highest common divisor of r and 354.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22149, 44259, 66383, 88527, 110697, 132899, 155139?\nAnswer: 177423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**2. Let j(x) be the third derivative of x**4\/6 - 14*x**3 + 3*x**2 + 148. Determine j(r(a)).\nAnswer: 4*a**2 - 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u. Let a be t(-1). Let r be (2 - 4) + a + -44. What is the units digit of 6\/9*r\/(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3267298039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f - 2. Let l be v(-4). Let w = -26 - -127\/5. What is the closest to -9 in w, 1, l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/14 in -3, 226, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 a when three letters picked without replacement from vyqaivvavivi?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 1817\/670?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -49 + 406. Let p = t + 17. Does 25 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, m: 1, o: 6, l: 4}. What is prob of picking 2 x and 2 o?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.008 + 6058.\nAnswer: 6057.992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -5.8, -0.1, 1\/6, 2\/23, 2\/9 in decreasing order.\nAnswer: 12, 2\/9, 1\/6, 2\/23, -0.1, -5.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 1 - 12 = 3*m, 2*m + 10 = 0. Suppose 2*x - 27 = 3*d, d = -10*x + 8*x + 7. Solve 0 = x*l - h*l - 12, 4*l + 8 = 5*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -344*p + 2410. Determine x(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 + 1 = -v. Is 11 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -73*i + 37*i + 34*i + 179 to y*i + g and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 950566.4 millilitres?\nAnswer: 950.5664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 27 = -k, -19*k + 3*j + 19 = -17*k. Suppose k*l + 5*z = 7*z + 14, 0 = l - 2*z - 4. Solve 0 = 2*w - 10, 0 = y + 5*w - 2*w - l for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 4*q = -n - 28, 70 = -4*n - 5*q. Let x = -24 - n. Let f = -36 - -33. Sort f, x, 5.\nAnswer: x, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*m + 314 = 0. Let l be 2\/(26\/(-2039)) - (21 - 21). Let h = m + l. Which is the second biggest value? (a) 9 (b) h (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -1\/2*k**3 - 5\/24*k**4 + 1\/120*k**6 + 1\/20*k**5 + 0*k + 0 - k**2. Let f be (21\/(-21))\/(10\/40). Calculate c(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12 + -40?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5\/3)*k**(-6))\/(k\/k**(11\/3)*k\/k**(-3)) assuming k is positive.\nAnswer: k**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lykklkylglylllllkl. Give prob of sequence klkl.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 10:09 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7502 by 2.\nAnswer: 3751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(72) + 2) + -1 + (4*sqrt(242) - (sqrt(128) + sqrt(128) + (4*sqrt(128))**2)).\nAnswer: -2061 - 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 4*i - 29, -58 = 3*p - 5*p + 3*i. Let f = p - -200. What are the prime factors of f?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -480 - -1086. Let c = g + -271. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = 8*j - 387. Calculate the lowest common multiple of j and 28.\nAnswer: 868","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 5353832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/19 (b) -4 (c) -9 (d) -5 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5658647, 11317288, 16975929, 22634570, 28293211?\nAnswer: 33951852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3 + -3 + -2 + (-3*sqrt(1377) + 1 + sqrt(1377) - 3*(sqrt(1377) + 1)))**2.\nAnswer: 360*sqrt(17) + 34446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -417 = 159*n + 60 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 2*x = 12. Let m(i) = -3*i**2 + 9*i + 9. Let h be m(x). Let w be ((-9)\/(-104))\/(-4*h\/(-112)). Which is greater: 0 or w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3 + 100300664*l**2 - 200601316*l + 100300656.\nAnswer: -4*(l - 25075164)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.0101g to kilograms.\nAnswer: 0.0100101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1661, 2781, 3889, 4985?\nAnswer: 6069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -102.3+-171366302\nAnswer: -171366404.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from utu. What is prob of sequence uu?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 107.008 and 2632?\nAnswer: 281645.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 - (-3 - (-35)\/15)*3. Solve 0 = -w*f - k - 17, 17 = -2*f - 4*k + 5 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 50 = -5*i - 285, 28 = -4*i. Which is bigger: z or 141?\nAnswer: 141","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e - 16?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18292950 is divided by 509?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 5*u - 4. Let x(n) = 176 + 3*n - 79 - 97. What is x(b(d))?\nAnswer: 15*d - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 49\/(-14) - 2\/(-4). Let o = -14 - -14.9. Let d = 0.1 + o. Put 0.1, d, r in descending order.\nAnswer: d, 0.1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13170494 divided by 2.\nAnswer: -6585247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/((-14)\/(-8)))\/(4\/(-70)). Let o(p) = -5*p + 11 - 4 + p**2 + 0*p. Is 19 a factor of o(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26\/17 - -148\/119. Let a be ((-5)\/(20\/3))\/(6\/24). What is the nearest to f in a, -1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (70*g - 21 + 21)*(-2 + 99 - 26)*(g**3 + g**3 + 0*g**3) to u*g**2 + b*g + q*g**4 + k + h*g**3 and give q.\nAnswer: 9940","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 3*k - 0*j - 923, -4*j = 20. Let r = 173 + k. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47\/4 or 0.06324?\nAnswer: -47\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u = -64*y + 67*y - 115, 190 = 4*y + 8*u - 3*u for y.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 246*j**3 + 106*j**2 wrt j?\nAnswer: 1476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 94239 by 9.\nAnswer: 10471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -160667, 5, -75 in increasing order.\nAnswer: -160667, -75, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -360*i**3 + 2*i**2 - 1. Let j be z(-1). Let m be 7581038\/j - 2\/19. What is m rounded to the nearest one thousand?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 2)*(1 + 1 - 1)*(70*v**2 - 70*v**2 + 7 - 2*v**4).\nAnswer: -8*v**4 + 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 1)*20\/(-25)*-5. Let v(w) be the second derivative of 2\/7*w**2 + 1\/84*w**s - 2\/21*w**3 + 0 + 2*w. Solve v(i) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/253, 5 in increasing order.\nAnswer: -3, 2\/253, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 809.727 + -809. Let u = 0.647 - n. Which is greater: 0.13 or u?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(2\/17)*d**(-16)\/d assuming d is positive.\nAnswer: d**(-270\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iksrkikskisikkr. Give prob of picking 1 s and 3 k.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 4*j + 1. Let k = 19 + -30. Let q = k - -7. Put j, q, -5 in decreasing order.\nAnswer: j, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -8. Let u = -14.5 - -13.6. Which is the closest to u? (a) m (b) -1 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 minus -530.48?\nAnswer: 530.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4*i**3 + i**2 + i + 1. Let j be o(-1). Suppose 2*b + 2*b + 51 = -3*v, -5*b - v = 61. Let g = j - b. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 - -5)\/(2\/(-1620)). Calculate the common denominator of 46\/27 and (-15)\/g*((-578)\/(-4) - -1).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.558 - 2.5.\nAnswer: -1.942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + 1 + sqrt(252) + 5 - (1*(sqrt(252) + -2)**2 + -5 + (sqrt(252)*-2)**2))*-1.\nAnswer: -150*sqrt(7) + 6280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1fd (base 16) to base 9.\nAnswer: -625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*c = 38, 0 = 4*g + 5*c - 63 - 22. Suppose 0 = 2*k - g - 3. 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: b\"What is the mth term of 6363, 12723, 19131, 25593, 32115?\n\"Answer: m**3 + 18*m**2 + 6299*m + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/65 != -1944\/85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 546119?\nAnswer: 7, 78017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 7964.459 grams?\nAnswer: 0.007964459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/x**(-6)*x)\/(x\/(x*x**8)))\/(x**(-4)\/((x**8\/x)\/x)))\/((x\/(((x**(-3\/2)*x)\/x)\/x*x)*x)**(-1\/99))**39 assuming x is positive.\nAnswer: x**(1873\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2970550860412 and 1.\nAnswer: -2970550860411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3)\/3*(101 + -107) + 1 + 3998?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6295*i - 9620 + 3325 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 k when four letters picked without replacement from kksskskkkkkksskskk?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-486)\/72*4\/(-6)*12\/(-18).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/6830 and -1\/2.\nAnswer: 6830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1781968305 to the nearest integer?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*c**3\/17 - 4330314*c**2\/17 - 127362*c + 2165156\/17 = 0. Calculate c.\nAnswer: -1082578, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -10. Find u, given that -5*u**4 - 6*u**n + 8*u**5 + 5*u**4 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 - 1 = 6*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 - 14*p - 24. Let u be d(-12). Let w be (-5)\/(-2) - 1\/2. Which is the third biggest value? (a) u (b) w (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from {c: 7, h: 9}?\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 648 + -620. Calculate the remainder when 238 is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1490, -3150, -4824, -6512, -8214?\nAnswer: -9930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**2 - 2*g**3 + g**2 + (-21*g**2 + 21*g**2 + 11*g**3)*(-2 - 3 + 3) + (-2 - 2*g + 2)*(0*g**2 - 2*g**2 + g**2).\nAnswer: -22*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 34\/5 of a decade?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -28\/5*f**5 + 0*f**3 - 37*f**2 + 0*f**4 + 17 + 0*f. What is the second derivative of l(c) wrt c?\nAnswer: -336*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14040 divided by -3.\nAnswer: -4680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**4\/12 + r**3\/2 - 2*r**2 - 2*r. Let g(s) = 4*s + 56. Let n be g(-13). Suppose -n*k - 6*k = -30. Calculate p(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -689 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**4\/3 - 33424*v**3\/3 + 23418632*v**2 - 1809742480*v\/3 + 11726724100\/3.\nAnswer: 4*(v - 4165)**2*(v - 13)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1240 and 1364.\nAnswer: 13640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/(sqrt(11) + sqrt(121)\/(sqrt(11) + sqrt(99)))*-4.\nAnswer: -16*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-40)*2*-148. Suppose -2490 = l*a - 80*a. Calculate the greatest common factor of a and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from isifxdfpsdsspd. What is prob of sequence dpsd?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 20*o**2 + 3*o + 9. What is n(20)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -269 (c) -0.07 (d) 0.1 (e) 7 (f) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 2*g + 6, 10 = 2*g - 0*x - x. Suppose g*t = 21*t - 798. Does 2 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*r - 3854*r**2 + 7709*r**2 - 63*r - 3850*r**2 to x*r**2 + v + g*r and give g.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111231 + 101103?\nAnswer: 213000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11854 - 11710. What is the smallest common multiple of 360 and c?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 6 - 7 - 3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**(-3\/31)*b\/(b*b**(29\/3)))\/(b**(1\/5)*b*b\/(b\/(b*((b*b*b\/b**(1\/9))\/b*b)\/b))))**(-4\/17) assuming b is positive.\nAnswer: b**(70636\/23715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31182 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -696 - -761. What is the smallest common multiple of g and 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0020733 rounded to four dps?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1198793 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/(-108))\/((-245)\/98))\/((-12)\/120).\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -653 - -659. Let h(k) = 2*k**2 + 3*k + 3. Let q(c) = -c + 1. Let r(x) = -x**2 + 5*x - 7. Let a(j) = -6*q(j) - r(j). Determine n*a(b) - 2*h(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 395 - 245 - 150 + 1098*m.\nAnswer: 1098*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 s when two letters picked without replacement from {s: 1, d: 2, h: 1, x: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3c1 + 4?\nAnswer: -3bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**7\/70 + 4*l**6\/15 - 91*l**5\/60 + 19*l**4\/12 + 4*l**3 - 756*l**2. Solve p(h) = 0 for h.\nAnswer: -1\/3, 1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 5*f - 100 = 0, 0 = 4*o - 3*f - 48 - 66. Let z be 6\/(-1 + 39\/o). Suppose 2*q = z + 8. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 4*h = 14, 26070453*g = 26070449*g + 29*h - 112 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 22209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -6*b + 5. Let z(x) = x - 1. Determine -d(s) - 5*z(s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of 9\/2*b**2 - b**3 + 1\/12*b**4 + 0 - 8*b. Solve m(q) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(420\/8)*(-5040)\/(-3276)\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 + 29. Let i(g) = 2*g + 4. Give i(p).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/5)\/(-1*(-12)\/390).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*h**4 + 4682*h**3 + 6928*h?\nAnswer: 24*h**2 + 28092*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -90 and -98 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*((-1)\/(-10))\/((-2)\/38785). Let w = 77647\/10 + v. What is the common denominator of 87\/20 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 0\/2 - -1. Let s(c) = 3*c**3 - 6*c**2 + 2*c. Let w be s(2). Solve -b*a + 4*t + 4 = 16, a + 4 = -w*t for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1088*c = -1083*c + 25 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/12)\/((-1)\/4). Let q be (20\/(-25))\/(l\/1745). Let g = 999 + q. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30 - 14?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*f - 3*f + 0*f**4 - f**4 - 6*f wrt f.\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.03 + 201.97. Let a = y - 204.99999841. Round a to 7 decimal places.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1897021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -2*w + 11, 0 = -263*w - 8*h - 5*h + 16*h + 3434 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 4*a**2 + 141*a - 516. Calculate g(4).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7\/1093 + 90873\/24046. Calculate the common denominator of 3\/(-6) + (-37)\/12 and l.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 5*i - 3*i + 2*i. Let m be z(3). Let t be (m\/(-15))\/2*-5. Solve -3 + t = -j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d**3*l + 48041*d**3 - 16576*d*l wrt l.\nAnswer: -d**3 - 16576*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290891 is divided by 3681.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 14. Let m = -1 - l. Solve 5*b - 6*b = 3, -2*b = m*c + 11 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32240 divided by 16120?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 4)*(-1 + 1 + 2*r**3) - 21 + 21 + 14*r**3.\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 8*t**2 + 3*t + 8. Let x be w(-8). Let r(z) = -2*z**2 + 7*z - 23. Let k(g) = -6*g**2 + 20*g - 70. Let j(o) = x*r(o) + 5*k(o). Factor j(d).\nAnswer: 2*(d - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-5 - -7) - 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 + 1)*(3*i**2 + 3 - 3)*(2*i**2 - 4*i + 4*i) as b*i + y*i**3 + u*i**4 + k + r*i**2 and give u.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 7. Let k = 6146 + -6151. Put k, s, 2, -2 in ascending order.\nAnswer: k, s, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/7))**32\/(q*q**(-2))**(-12))\/((q**2\/q)**6)**27 assuming q is positive.\nAnswer: q**(-1154\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 7233688.4 to the nearest one hundred thousand.\nAnswer: 7200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 1210 = 3*d. Calculate the least common multiple of 77 and d.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -c**5\/80 - c**4\/16 + c**3\/24 + 3*c**2\/8 - 2*c + 5. Factor b(t).\nAnswer: -(t - 1)*(t + 1)*(t + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -878.562 to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55340182?\nAnswer: 2, 2579, 10729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 6:42 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, r: 4, n: 1, u: 2}. Give prob of sequence nuu.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-40)\/24*(-1)\/(-4)*(-40)\/75. Let d = 167 - 186.1. Is d >= m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + c**2 + 35*c + 16. Let r be z(0). Calculate the highest common factor of 536 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 2*n + 7, -4*n + z - 42 = -13. Which is smaller: n or -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - -0.3. Let l = -0.84 + 11.44. Let g = 6.6 - l. Which is the third biggest value? (a) g (b) 0 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -88287, -176926, -265565?\n\"Answer: -88639*i + 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 - 2*v**2 - 4171*v + 4175*v - 2*v**2 + 1. What is w(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605)\/(sqrt(55)\/(sqrt(5) - (sqrt(5) + sqrt(245)))))\/((sqrt(275) + (sqrt(275) - (sqrt(275)*-2 + sqrt(275))))*2).\nAnswer: -7*sqrt(5)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 9 * -1.1\nAnswer: -9.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/34?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 3:39 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5*v + 10. Let t(s) = 6*s + 11. Let k(y) = 7*o(y) - 6*t(y). Let h(q) = q**2 + q - 5. Give -2*h(u) - 3*k(u).\nAnswer: -2*u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3239, -3232, -3225?\nAnswer: -3218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9419\/8 equal to 1177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541743887.\nAnswer: 541743887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -269.7 (b) 5\/9 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 129501405 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39540?\nAnswer: 2, 3, 5, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -20*z + 347. Determine n(17).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-98)\/42*((-1)\/(-1) - 94). Let k = 325 - c. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29058270.\nAnswer: 2, 3, 5, 17, 227, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 4*m + 8. Suppose 19*z - 17*z - m = 0. Suppose -6 - 29 = -5*o. Which is bigger: o or z?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1800017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -376*u + 0 + 5 + 5 + 13 - 6.\nAnswer: -376*u + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -71 divided by -614\nAnswer: 71\/614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 + 2 - 0)*4. Let s(i) be the first derivative of -i**2\/2 + 12. Let x be s(k). Solve 2*p = -0 - x for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 20*n - 7. Let i(w) = -7*w + 2. Let p(t) = -17*i(t) - 6*x(t). Calculate the remainder when p(-7) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -w**7\/420 - w**6\/120 - w**5\/120 + 23*w**2. Factor s(g).\nAnswer: -g**2*(g + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 807.46+-48\nAnswer: 759.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6 - -2 - 2\/((-6)\/27). Solve -10 = 2*k + 4*j, 4*k - t*j = -8*j - 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - ((4 - 1) + -5 + 6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 631 is divided by 49?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27734855 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (5 + (-4 - (-5 + 2))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 89092.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -259, -28, 357, 896, 1589, 2436?\nAnswer: 3437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -4*u + 1. Suppose -9 = -6*q + 3. Suppose q*h = -u*h + 325. What is the remainder when h is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -26*q + 17. Suppose 3*m - 3*h + 69 = 27, 5*m = h - 50. Let j(d) = 52*d - 34. Let i(x) = m*c(x) - 4*j(x). Is i(12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*z + 34 = 0, -24 = -k + 3*z - z. Let c(a) = a. Let g(v) = 2*v + 5. Let i(s) = c(s) - g(s). What is i(k)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/3 and 149\/282.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 8*n + 3180. List the prime factors of n.\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 2*j - 4, 4*a + 7 = 2*j + 3 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + j - 56. Let s(b) = -b**3 + 14*b**2 + 3*b - 43. Let c be s(j). Which is smaller: c or -1\/6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -128.527 - -186.54. Round o to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 24\/(-14)*462\/(-99)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 7*w**2 - 3*w - 5. Suppose -3 = 4*a + 5. Let u(y) = -3*y**2 + y + 2. Give a*d(i) - 5*u(i).\nAnswer: i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -24, -26, -12, 24, 88, 186, 324?\nAnswer: 508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 412 - 1333. Suppose 4*m - x - 4*x + g = 0, 5*m - x = -410. Let q = 114 + m. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8189008 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 60454520, 60454522, 60454514, 60454490, 60454444, 60454370, 60454262, 60454114?\n\"Answer: -w**3 + w**2 + 6*w + 60454514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 975506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 8, -0.068, -14\/1047, -0.1?\nAnswer: -0.068","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4659 + -4668 - (-88 - 0 - -3 - (3 - 6))?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 14. Let w(z) = -z**3 + 3*z**2 + 26*z - 5. Calculate the remainder when 298 is divided by w(h).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3189125?\nAnswer: 5, 31, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 178 + 137 = -5*s, 3*w - 48 = -6*s. Which is smaller: 22\/19 or w?\nAnswer: 22\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53715307 is divided by 1220802?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268 = -5*r + 2522. Let v = -83 + r. Suppose m - 6*m = -v. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 198177 to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102101402 (base 5) to base 9.\nAnswer: -717264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - 6302\/50) + 4. Let u = 119 + i. Which is greater: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*z + 12. Let w be z\/6 + 56\/21. Suppose -4*c + 167994 = -2*n, -5*n - 61420 = -w*c + 22565. What is c rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 21*l**2 + 28*l - 1. Let j be n(22). Let d = j - 132. Which is greater: d or -3\/71?\nAnswer: -3\/71","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k**2 + 25*k - 7. Calculate x(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 143 = -5*n. What is the highest common factor of 88 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 - -137. Suppose -925*j - 35 = -923*j - 5*m, -10 = -j - 3*m. What is the nearest to 0 in 0.2, r, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9218?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7064259 by 6.\nAnswer: 2354753\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - (-16 + 32)) + -2 + (90 - (7 - 0))?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 8*a**2 + 8*a + 1. Let x be k(-7). Let d be ((-9)\/x)\/3*10. Suppose -4*o + 135 = -d. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1387\/(-292)*19\/(513\/162)*2\/(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-3 - 0) - -4. Suppose -f - 5 + i = 0. Suppose -l + v + 6 = 0, 0 = -5*l - 3*v - 5 + 19. Solve -f*n = 5*z, z - 17 = l*n - n for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 4 - 5)*(1 + 0 - 3) - 1 - 20 - 17)*(6*f - 3*f - f)*(-f + 3 - 3) to g*f + p*f**2 + i and give p.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 8:11 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1958 is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 434316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3628225194 rounded to the nearest 1000000?\nAnswer: 3628000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/6)\/p**(-3))\/(p**(1\/7)\/(p**6\/p)))\/((p**(-1)*p)**(-3\/2)\/(p*p*p**6*p**(-1\/11))) assuming p is positive.\nAnswer: p**(7361\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34 + 39. What is the smallest value in i, -2\/5, -2\/19?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 5. What is the common denominator of z + -2 - (33 + -1) and -3\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*s = -229*s + 1848 - 4884 for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -295*a = -69*a + 904 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203*f - 190*f + 391*f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -14, -5, 3, -2, 1, 13\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 9*a**2 - 12*a - 108. Let k(r) = -r**2 - 6*r + 3. Let v be k(-4). Let c be t(v). Suppose -8 = -3*w - 2. Solve -w*z = c*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = g - 1, 5*g + 4 + 8 = -3*z. Let m = -23 + 32. Suppose 2*p = m + 7. Calculate the least common multiple of p and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -184 by 11.\nAnswer: -184\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3999*h - 27992. Give b(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1061, 1675, 2309, 2969, 3661?\n\"Answer: j**3 + 4*j**2 + 595*j + 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125087 = 1634*f + 465*f - 343383 for f.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 8:52 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-23 - -25) + ((-38)\/12 - -1). Let v = -23\/28 - -11\/7. Which is the smallest value? (a) -0.06 (b) k (c) v (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15.2 - 15. Let f = -6.6 + 1.6. Sort -0.3, f, x, 1\/4 in decreasing order.\nAnswer: 1\/4, x, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 0, d = -5*t + t - 16. Let p = d - -22. Solve -33 = 5*f + 4*s, -s + 10 = -p*s for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 - -24. Suppose 0 = -j + 5, -4*j = m*s + 175 + 45. Let q = 220 + s. Does 39 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0 = -3, 5*s + 2680 = 5*b. List the prime factors of b.\nAnswer: 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-5 + (sqrt(11) + sqrt(44)\/sqrt(4))*-1)*3 + -5)**2.\nAnswer: 240*sqrt(11) + 799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -14555 (base 7) to base 12\nAnswer: -2422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 + 510 = 5*q. Let k = -119 + q. Sort -4, -5, 0, k.\nAnswer: k, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/3949 and 43\/14364308?\nAnswer: 158007388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-28)\/(-4) - ((4 - 1) + 0). Suppose -g + 290 = f*g. What are the prime factors of g?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16111 + 3?\nAnswer: -16105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 45 + 336a?\nAnswer: 33b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 3)*(-25)\/(-2). Let d = 110 + h. Let z be (-1)\/4 + (-122)\/(-8). What is the greatest common factor of z and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 15) to base 5\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(110)*4)\/sqrt(10))**2 - (-5 + sqrt(11) + 1 + 5)**2) + 3.\nAnswer: -2*sqrt(11) + 343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 66877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -441*z - 6*z**3 + 1 + 441*z.\nAnswer: -6*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-65287)\/(2\/(6 - (9 + -1))) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 45*u + 9 = 44*u, 4*y + 42 = -8*u + 3*u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 - 60*o**2 - o - 48. Determine q(-60).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + k**2 + 4*k + 2. Let x be i(-1). Suppose x = -12*c + 11*c + 333. What are the prime factors of c?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*a + 4*t + 8 - 56 = 3*a - 7*t + 5*t, 12 = 2*t for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/19045 and -14\/13502905?\nAnswer: 13502905","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -0.1, 622682?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 67\/8 in 2, -3, 4\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29.7224 - -0.0224. Let x = m + 30. Let g = 0.1 + -0.5. Which is the closest to x? (a) g (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21716*n**3 + 339*n - 1?\nAnswer: 130296*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 5264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 44.7 and -5.\nAnswer: -223.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 516623200 divided by 949675\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6684 by 15.\nAnswer: 2228\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - 4*w + 12 - 30, -4*l = w + 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-1\/4)*r*r*r)**19\/(r*r*r\/(r\/(r**0\/r)*r*r)*r*r*r*r**5*r*r) assuming r is positive.\nAnswer: r**(325\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -229*q - 201*q + 1327*q - 224*q - 225*q - 228*q - 222*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 88945589?\nAnswer: -4\/88945589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -197 - -210.9. Let i = s + -13.614. Let p = -0.12 + i. Round p to 2 dps.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 2b9a946?\nAnswer: -2b9a948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -17696.7294 and -3.3?\nAnswer: 17693.4294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10646207 >= 10646209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/1780284 and -63\/77145640?\nAnswer: 231436920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**5 + 15*b**4 - 708*b**3 - 41767*b?\nAnswer: -40*b**3 + 180*b**2 - 4248*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 27 + -25 + -15 - (-21 - 0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 8*y**3 - y**2 + 1. Let b(u) = u**2 + 7*u - 7. Let a be b(-8). What is the remainder when w(a) is divided by 4 - (-1)\/(0 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -7*s**4 + 8*s**3 + s**2 - 2*s - 2. Let j(v) = v**5 + 7*v**4 - 9*v**3 - v**2 + 2*v + 3. Let t(k) = 2*j(k) + 3*r(k). Determine o, given that t(o) = 0.\nAnswer: -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 2\/195 (b) -15 (c) 0.5 (d) 6\/24229\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uk when two letters picked without replacement from {d: 3, k: 2, u: 3, m: 1, x: 1, t: 5}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = -16*a + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in eleven tenths of a minute?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25432199.\nAnswer: 13, 1956323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(103\/(-13390) + (-4)\/(-13))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 108878561 to the nearest integer?\nAnswer: 478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 80.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 97870788 to the power of 1\/3, to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of -13*q**3\/6 - q**2 - q + 8. Give d(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(512) - (sqrt(512) + 3*sqrt(512) - sqrt(512))**2) + sqrt(512) + -4.\nAnswer: -4612 + 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5630, 5633, 5638, 5645, 5654, 5665, 5678?\n\"Answer: h**2 + 5629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 (base 5) in base 16?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 8*l - 7. Let i be t(9). Let u be i + (-3)\/2 + 0. Let v = 1.1 - 1. Which is the nearest to v? (a) -3 (b) 4\/5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 179142 divided by 146.\nAnswer: 1227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28179 a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5*g**3 - 4*g**2 - 6*g - 16. Let q(k) = -4*k**3 + 3*k**2 + 5*k + 17. Calculate 5*m(f) + 6*q(f).\nAnswer: f**3 - 2*f**2 + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - d = -6*t + 15, 5*d = -3*t + 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 163 - 182. What is the closest to -2 in t, -2\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-72)\/(-3))\/(6\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/5)\/((-1)\/10). Suppose -b = -f*b - 30. Let p be (-20)\/b - (-1)\/(-3). Solve p*y = 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0109? (a) -0.1 (b) -1969 (c) 2\/43 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04896 - 26.95104. Which is the smallest value? (a) z (b) 0 (c) 0.4 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 551a - 5?\nAnswer: 5515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/28 - (-1625)\/(-20300)*-8.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 130 - 264. Is h\/(-8)*(4 + 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/119 + 208\/34. Let t(i) = -11*i + 77. Give t(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**2 + 17*q - 2. What is c(11)?\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 2374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in 2\/3, -1\/68, 4, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**5\/21 - 2026*i**4 - 75331182*i**3\/7 + 2943321650*i**2\/21 - 453093796*i = 0. Calculate i.\nAnswer: -10643, 0, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6000 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1034172 equal to 1034170?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2501 + 2501. Let y(p) be the first derivative of 6*p - 10\/3*p**3 - 17 + d*p**2. What is the derivative of y(s) wrt s?\nAnswer: -20*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 261 - 261. Suppose d = 7*n - 154 - 182. Calculate the greatest common factor of 48 and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3249 - 13061\/4. Find the common denominator of -71\/12 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-5)\/((-525)\/(-5))). Suppose -u*l + 105 = -18*l. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15.0484061163 + -15.0484. Round r to seven decimal places.\nAnswer: 0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 737189?\nAnswer: 263, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**3\/11 - 52*n**2\/11 + 378*n\/11 - 720\/11 = 0 for n.\nAnswer: 3, 8, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 71, 90, 109?\nAnswer: 128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 28 = -100. Suppose 0 = 3*l - 0*l - d. Let q be (l\/(-10))\/((-6)\/20). Solve -q = -3*i - 5*u + 1, -2*u - 14 = -2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 14*t**2 - 4*t + 1. Give f(-4).\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*z + 4*v, 0 = -3*z + 4*v + 14 - 5 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 1.72. Let m = 0.58 - o. Is m greater than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 487256 and 2938.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.5 (b) 2\/583 (c) 5 (d) -2\/49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 + 3 - 22\/3)*(-9)\/11. Let b be 4\/22*(-202)\/24. Let k = r - b. What is the closest to 1 in k, -4, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 850543, 850544, 850545, 850546?\nAnswer: 850547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**(5\/7)*d)\/d)\/((d\/(d\/d**(-3))*d*d)\/d*d)*(d*d**(1\/2))\/d**(-2\/9) assuming d is positive.\nAnswer: d**(505\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1118358.\nAnswer: 2, 3, 62131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 194311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14557 is divided by 4848?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*o**3 + 0*o**2 + 3*o**2 - o**2 + 4*o**3.\nAnswer: 23*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40 + 2*p**4 - 1 - 13 - 3*p**4 - p**2 + 2*p - 2*p**3 to r*p + l*p**3 + j*p**2 + x*p**4 + q and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 315004 and 1092186?\nAnswer: 133246692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/10 + 1\/2*6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*3 + (114\/(-171) - (-40)\/6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*k**3 + 18*k**3 - 22*k**3 - 84*k**3 + 18*k**3.\nAnswer: -64*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from orofaoroafsroaaofo. Give prob of sequence srof.\nAnswer: 7\/8160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -249*k**2 - 195*k**2 + k + 9 + 0 + 3*k**2 wrt k?\nAnswer: -882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 145\/45 - (-2)\/(-9). Suppose -8 = l - 3*l - v, -2*v - 5 = -h*l. Suppose 0*c + l*c = 90. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o + 20*o + 2*o = 8610. Let k(h) = 83*h**3 - 2*h**2 + h. Let y be k(1). Let f = o - y. Does 17 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * -47.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -163423520 (base 7) to base 11\nAnswer: -6313975","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a micrometer in nanometers?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75008560 by -55.\nAnswer: -1363792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -13*f - 11. Suppose -h + 0*v - 12 = -2*v, -2*h = 3*v - 11. Is h greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-7) + 12\/42. Let l = -11 + 8. Which is the smallest value? (a) f (b) l (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -45.04 from -32.7.\nAnswer: 12.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 32\/5 of a microgram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fjh when three letters picked without replacement from hgjgfgjrrgrgrj?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence axda when four letters picked without replacement from epehxdahhaad?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -k*l**3 - k*l**2 - 112*k*l - 665*k + 965605*l**3 wrt k?\nAnswer: -l**3 - l**2 - 112*l - 665","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - u + 54 = 2*o, -3*o + 5*u = -194. Suppose 5*y = 4*a - 13 - o, 4*y = -2*a + 16. Calculate the highest common divisor of 21 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-7))\/(3\/(-21)). Suppose -5*g - 10 - p = -3*f, -4*f = 2*g - 10. Sort -4, f, -0.3, -3.\nAnswer: -4, -3, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 + -34. Is 10 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -6 + 22 + 3.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 2*m + 1. Let p be 10\/4*2\/(-1). What is the smallest common multiple of j(p) and ((-7)\/(-21))\/((-2)\/(-48))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**3 + 0*o**3 - 6*o**3 + (-2*o + o + 2*o)*(-1 + o**2 + 1) + 3*o**3 - 16*o**3 - 6*o**3 + o**3 + 49 - 10 + 35.\nAnswer: -19*o**3 + 74","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15200 (base 7) to base 3.\nAnswer: -12210002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a milligram in micrograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 4*m = -13, 25*o - 9 = 24*o + m for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.84165 rounded to one decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by -1760.\nAnswer: -19\/1760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 59, 138, 249, 392, 567?\nAnswer: 774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/37? (a) -0.3 (b) -5 (c) -2\/5 (d) 6.09 (e) -0.061\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**2 - 63*z + 89. What is v(18)?\nAnswer: -397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -34*y**2 + 79*y**2 + y**3 - 33*y**2 + 15 + 13*y. Let h be s(-9). Let m = h + -127. What is the greatest common divisor of m and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -4*c**3 - 32*c**2 + 112944*c - 451008 = 0?\nAnswer: -174, 4, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -78 or 17431?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37 - (9 + -22)) + -6 + -16.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29025 and 129?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 3 = 0, 5*c - 5*i = 25 - 15. Let s be (-1)\/(-2) - 609\/266. Which is smaller: c or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -384939490 divided by 201539?\nAnswer: -1910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 7*d**3 + 2*d + 3. Let i be 2\/(-15) - 292\/60. Let q(o) = 3*o**3 + o + 2. Let r(u) = i*q(u) + 3*g(u). Let n be (-1)\/(2\/4*-2). Determine r(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 1 + 9*x + 0 - 8*x. Let k(d) be the second derivative of 5*d**3\/6 + d**2 - d. Calculate 4*c(q) - k(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -44. Let k = 4 - g. Does 11 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40682.4 times -31?\nAnswer: -1261154.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(1 + -1 + -1). Which is bigger: 1\/74 or w?\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 - (5 - (-6 - -18))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*k**2 + 262675*k + 131335.\nAnswer: 5*(k + 26267)*(2*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 60042.\nAnswer: 660462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 22, 65, 138, 241, 374?\n\"Answer: 15*q**2 - 2*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -912 and 129.6164.\nAnswer: -118210.1568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-7)\/(t\/(t**(-8)*t)))**28*t**(-5)\/(t\/(t**(3\/4)\/t)*t)*(t*(t*(t\/t**(-2))\/t)\/t*t)\/t**(-4\/5) assuming t is positive.\nAnswer: t**(-8449\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*f**3 + 8*f**3 + 0*f**3)*(-761*f + 171*f - 339*f) as j*f**2 + u*f**3 + x + v*f**4 + a*f and give v.\nAnswer: -3716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o**(2\/7)\/o))\/o)\/o)\/(o*o\/(o\/((o\/o**2)\/o))*o)*o*o**(-2\/3)*o*o**0 assuming o is positive.\nAnswer: o**(22\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) -2\/5 (c) 8 (d) -3 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2262592273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f. Let h(r) = 4*r - r**2 + 2*r + 10*r**2. Let b(w) = -10*w**2 - 7*w. Let u(y) = -6*b(y) - 7*h(y). Calculate u(s(i)).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 2*v = 196. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 266556 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 13428987\/143*1\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (4 + -3)) + 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -79556, 3, 114 in ascending order.\nAnswer: -79556, 3, 114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 16319784 and 4446.\nAnswer: 1482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -188 divided by -6.\nAnswer: 94\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5*m - 62 = -650, 468 = 3*o - 3*m. Is 2282\/15 at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -55 + 113. Let a = v + -39. Suppose j = -2*i + a, i - 3*i = 3*j - 13. Solve x - 4*g = -i, 0*x - 2*g = 4*x - 10 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 12818?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 15*l**2 + 33*l - 17. Let q be w(-17). Suppose q = -11*u + 1123 + 1825. What are the prime factors of u?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*q = 235*q - 70 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**31*b)\/b)\/b*b\/(b\/b**(-2\/9))*(b*b**(8\/7)*b)**25)**(-11\/5) assuming b is positive.\nAnswer: b**(-75779\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -0.09\nAnswer: -0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 6*r - 5*r + 2 + r to v + s*r and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1394431 decades to centuries.\nAnswer: 0.01394431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29\/45 + -1\/45. What is the second biggest value in -0.2, 0.5, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 7*o**2 - 7*o - 1. Let n be c(-6). Suppose n*t - 18 = 3*g - 0*g, -2*g + 14 = t. Let x = t - 0. Is 3 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2773305, 5546633, 8319983, 11093355, 13866749, 16640165?\nAnswer: 19413603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2. Let g(d) = 4*d**2. Calculate 2*g(x) + 22*s(x).\nAnswer: -14*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 239*f**2*o**4 + 73564*f**2 + 56667*f*o**4 + 375*o**2 wrt o.\nAnswer: 5736*f**2*o + 1360008*f*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/368592 and 65\/126.\nAnswer: 1105776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16*a*k**2 + 15*a + 17*k**2 + 261 wrt k.\nAnswer: 32*a*k + 34*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 5*s - 10, -17018*n + 17035*n + 5*s - 235 = 0 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -5*s**4\/8 - 75*s**2. Let g(n) = -4*n**2. Calculate a(g(m)).\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 213092520 divided by -174666.\nAnswer: -1220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15.53 - -15.5300009997. What is h rounded to 7 dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-16)*-11)\/(21\/42)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.961378l in millilitres?\nAnswer: 5961.378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 4*n + f - 23, 2*n = -5*f - 5. Suppose -8 + 13 = -w. Sort w, n, -2 in descending order.\nAnswer: n, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 0.29326.\nAnswer: 1.4663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2899367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 9, 1, 5, -5, 340 in decreasing order.\nAnswer: 340, 9, 5, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -f**6\/57 + 24*f**5\/95 - 24*f**4\/19 + 128*f**3\/57 + 4982. Factor s(z).\nAnswer: -2*z**2*(z - 4)**3\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 14*t - 17. Let m be 7 + (1 + -4 - -4). What is the remainder when q(m) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 9, -32, -111, -240, -431?\nAnswer: -696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 84047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -17.36?\nAnswer: -34.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from afffafffffafaa. What is prob of picking 3 a?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -18. Suppose 3*g = -4*l - 8, -j*l + 2*l = 5*g + 8. Suppose g = -6*n + n + 100. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of x**7\/105 - x**4\/4 - 4*x**2. What is the second derivative of w(q) wrt q?\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -11*m**2 + 191*m + 224. Let v(k) = -2*k**2 + 34*k + 38. Let l(n) = -6*i(n) + 34*v(n). Let d(j) = -2*j. Calculate d(l(w)).\nAnswer: 4*w**2 - 20*w + 104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -106309381 or 0?\nAnswer: -106309381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + (27 - (9 - -3) - 23).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 861535205?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -194.812 + 273.855. Let t = l - 79. What is t rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 13*c + 19 + 31 = -32*c - 70, 5 = 3*u + 2*c for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12616, -24034, -35452, -46870, -58288?\nAnswer: -69706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5 = -1. Let y be z\/2 - 10\/(-4). Suppose y*l = 2*b - 0*b + 15, -9 = -3*l + 4*b. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9*-9.\nAnswer: -8.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 216 and 702?\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264*i + 239 = -262*i + 5*r, -2*r + 118 = i. Calculate the greatest common divisor of i and 3346.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 159*c**2*h - 119*h wrt c?\nAnswer: 318*c*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -2 (b) 14\/9 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 5 - 6)*(2 - y - 2)*(0 - 48 + 3).\nAnswer: -405*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 10422*v + 9035. Let h(u) = -31268*u - 27117. Let t(l) = -4*h(l) - 11*x(l). Differentiate t(g) wrt g.\nAnswer: 10430","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2. Let p(n) = 41*n + 768*n + 255*n + 3746*n + 523*n. Calculate j(p(v)).\nAnswer: -28440889*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 19*f + 50. Let v be k(-16). Let t(u) = 184*u + 3. Is t(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/3102150 and 41\/1861290.\nAnswer: 9306450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72 (base 9) to base 16.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 1 = h - 18, 3*u + 15 = 3*h. Let r(a) = -a**3 - 2. Let j be ((-60)\/(-30))\/(1*2)*-22. Let m(y) = 4*y**3 + 7. What is j*r(l) + u*m(l)?\nAnswer: -2*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180) + (sqrt(180) - (-1 + sqrt(180))) + 1 + 4.\nAnswer: 6 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -5*m - 110, 0 = c - 4*m + 326 - 360. What is the closest to 3 in -1\/4, 4, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/80*((-6)\/54)\/(20*(-3)\/72).\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0057515 to 5 dps.\nAnswer: 0.00575","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6019, 7110, 8201, 9292?\n\"Answer: 1091*j + 4928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*a + 49, 93*n - 3*a - 174 = 90*n. What is the least common multiple of 55 and n?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/7 - (-141)\/(-21). Let k(d) = -d**3 - 6*d**2 + 6*d + 8. Let u be k(z). Find the second derivative of -v**3 + 15 - u + v wrt v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, h: 5, w: 4}. Give prob of sequence wwjj.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -7 - 15 - -30.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18 - 14 - 7 - 2*l wrt l?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of y**6\/120 - 2*y**5\/15 + y**4\/4 + y**3 - 5*y**2. Let c be f(7). Let d = -2 + 5. Put -2, c, d in decreasing order.\nAnswer: d, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a - 1. Let k be f(1). Suppose 2*i - 88 = -8. Suppose -4*x = 2*s - i, -2*s - k*s = -2*x - 100. What is the remainder when s is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 u when three letters picked without replacement from uwyyyyxwxwyyuyyyjwu?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-15)\/2*(-2)\/6*2. Let d be -4*(105\/14 - 7). Put -3, a, -5, d in ascending order.\nAnswer: -5, -3, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -3 (c) 1\/2 (d) 2\/25 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 57 (b) -2 (c) -6\/133\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**2\/3 + 258258328*l\/3 + 4168585248834724\/3.\nAnswer: 4*(l + 32282291)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -3*c - 5*j, 0 = 2*c + 2*c + 5*j - 73. Is 6 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -7240*c. Let z(r) = 318*r. Calculate w(z(m)).\nAnswer: -2302320*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6.362 * 2.\nAnswer: 12.724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {v: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 987\/(-611)*((-165)\/(-35) + -5)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 - 86*u**2.\nAnswer: 2*u**2*(u - 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4053238573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - ((389 - 454) + (1 - 2 - -15)).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*q**2 - 17*q**3 + 7*q**2 + 7*q**2.\nAnswer: -17*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, o: 6}. What is prob of picking 2 z?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -65, 0, -2178, 3 in decreasing order.\nAnswer: 5, 3, 0, -65, -2178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*r + 4*r - 372 + 472 to the form l + c*r and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -2*i - 4*z, i + 2*z = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99 - 72 - -65 - -37.\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 2:33 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 670733659 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3 = -4*v. List the prime factors of v*(1 + 34\/(-6)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*6\/(-36)*(-5)\/(-105).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5620 divided by 5.\nAnswer: -1124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 66\/4)\/(1\/(-240)). What is d rounded to the nearest one hundred?\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1214104420 (base 5) in base 9?\nAnswer: -5366784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d + 1. Let i = 8 + -10. Let m(k) = 2*k. Give i*h(b) - 2*m(b).\nAnswer: -6*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6332343902?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**4\/9 + 4717*q**3\/9 - 164528*q**2\/3 + 1447748*q\/9 - 958880\/9 = 0?\nAnswer: 1, 2, 104, 4610","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 113956534 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 11:25 AM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -253 + 1218679.180116?\nAnswer: 1218426.180116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3490 (base 15) to base 8.\nAnswer: -25630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 610449 (base 13) to base 7.\nAnswer: 25120224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k**3 + k**4 - k**3)*(-7 + 15 + 10) to r*k**3 + u + i*k**2 + j*k + f*k**4 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2505631173 a multiple of 344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 5 - 5)*(22*s - 6*s**2 - 22*s) + 0*s**3 - 3*s**3 + s**3.\nAnswer: 10*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + sqrt(114) + -2*sqrt(114) + sqrt(114) + sqrt(114))*-4)\/(-1*sqrt(294)).\nAnswer: 8*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 102\/5501491 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 125555016 - -3?\nAnswer: 125555020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/4*4250\/595. Solve 28*l - s*l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-1\/32))\/f**(-28)*f\/f**(2\/3)*f*f*f*(f\/((f\/f**19*f)\/f))\/f assuming f is positive.\nAnswer: f**(4835\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 425 and 56225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 710.5351ug to kilograms.\nAnswer: 0.0000007105351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (-8 + 5)) + -6 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 3*x = 13, -c + 27*x + 5 = 14*x + 16*x for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mkkm when four letters picked without replacement from {k: 2, m: 5}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35975 is divided by 251?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216 - 470 = 49*y for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -904.645165+160\nAnswer: -744.645165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*t + 23566 = 0, 5*a + 53*t - 49*t - 117926 = 0. Does 13 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -4*m**3 + 11*m**2 - 5*m + 17. Let g(y) = -3*y**3 + 10*y**2 - 4*y + 16. Let h(v) = 5*g(v) - 4*z(v). Give h(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -11*l**2 + 949*l. Let b(a) = 2*a**2 - 11*a. Determine -3*b(k) - o(k).\nAnswer: 5*k**2 - 916*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -5. Let a be (-4)\/(1 + (k - 1)). Let j = a - -6. Solve 5*b - 2*o + 19 = 0, 3 = -j*b - 3*o - 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.019 - -0.219. Let k be (-5)\/8*-2 + (-111)\/(-444). Let l be 8\/(-10)*3\/6. Which is the third biggest value? (a) l (b) k (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 71, 142, 213, 284?\n\"Answer: 71*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**5 + 2*m - 2*m)*((4 + 4 - 5)*(3 - 2 - 3) - 1 - 3 - 3).\nAnswer: 13*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/719274 and -107\/7512.\nAnswer: 2877096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - 5*y**2 + 34*y + 174. Let q be d(-6). Solve -l + q = 2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5006 - -5011. Let g(k) = -13*k**3 + 5*k**3 - 6*k + 7*k**2 + 7*k**3. Give g(z).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of w**5\/60 + w**4\/8 + 293*w**3\/6 + 22*w**2. Is y(0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -598, -477, -268, 29?\nAnswer: 414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -2\/35, 1, 0.05, -22, -2\/7 in ascending order.\nAnswer: -22, -2\/7, -2\/35, 0.05, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38597 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (38 - 38 - 16*n)*(5*n**2 + 0*n**2 + 0*n**2)*(-3*n - n + 6*n) to w + q*n**4 + i*n**2 + d*n + z*n**3 and give q.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -78504*p**5 + 20940*p**2 wrt p.\nAnswer: -4710240*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 426 - 770. Let o(c) = 28*c**2 - 13*c - 6. Let q be o(-4). Let j = q + u. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42 - 40) + 0 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 1 - 4)*(3 + 2 + 1) + 1 - 3 + 0)*(-3 - 1 + 3)*(3*j**2 - 4*j**2 - 3*j**2).\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + 44 - (19 + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2355587 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 610209 to the nearest integer?\nAnswer: 781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*g + 52 = -4*m, 78 = 3*g - 2*m. Let n(f) = 26*f. Let o be n(4). Calculate the greatest common factor of o and g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 + 2. Let r(k) = -k**2 - k + 3. Let u(c) = -2*r(c) + 3*t(c). Let m be u(1). Let g(j) = 45*j**3 - j**2 + j. Is g(m) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -53, 1.8, -1\/91 in increasing order.\nAnswer: -53, -1\/91, 1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 4263*r - 4258*r + 47, 2*t = r - 27 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 + -1. Calculate the remainder when l is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -44, -1\/3, 52\/353?\nAnswer: 52\/353","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5751 - -707?\nAnswer: 6258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -90928221 + 90928217.2700187. Let t = p + 3.73. Round t to 6 decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355687 to the power of 1\/2, to the nearest integer?\nAnswer: 596","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 3 - 1. Suppose -g = -0*g - t, -4*g + 12 = o. What is the units digit of (2\/(-4))\/(o\/56)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 103*d**4\/4 + 3089*d**3\/2 + 30870*d**2 + 205400*d - 4000.\nAnswer: (d + 20)**3*(103*d - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -130984920 by 27063.\nAnswer: -4840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 327307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2753 a factor of 2409956929?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10475895 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jf when two letters picked without replacement from {j: 7, f: 7}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5.6 times 1\nAnswer: -5.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/451344 and 81\/62792.\nAnswer: 3542599056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 33032 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 66*j**2 - 157*j - 137. Give n(-1).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/11? (a) 2\/7 (b) -10 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 98411230 to the nearest integer?\nAnswer: 9920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 54*g + 4705. Calculate the remainder when 4217 is divided by u(-80).\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 90\/((-12)\/2) - -1360. What is the highest common factor of h and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232 (base 7) to base 12.\nAnswer: a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -23201?\nAnswer: 23203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 5 + 5)*(42 + 4*t - 42)*(t - 79 + 0*t - 75).\nAnswer: 8*t**3 - 1232*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -292*i**3*t**3 + 357*i**3 - 6*i*t**3 + i + 2 wrt t.\nAnswer: -876*i**3*t**2 - 18*i*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -0.2, 6, 143, 1, -152\/15, -0.5, 2?\nAnswer: 143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of 0 + 0*r**3 + 0*r**5 + 0*r**2 + 7*r + 0*r**6 - 4\/21*r**7 + 1\/4*r**4. Find the third derivative of d(i) wrt i.\nAnswer: -480*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(351) - sqrt(351))\/sqrt(9))\/(sqrt(15)\/sqrt(125)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 144347220 to the nearest 100000.\nAnswer: 144300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1218*t + 20 = 1223*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/28856048 and 127\/624.\nAnswer: 86568144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*b = -78*b + 207*b - 50. Let -8 - 9\/2*t**b + 1\/2*t**3 + 12*t = 0. What is t?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 1653\nAnswer: -1648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fourty-five quarters of a second?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*o - 19 = -34*o + 5*y, y + 1 = o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -19.7 != 6\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*y**2 - 8*y**2 - 20*y**2.\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 267 + 5*d - 267.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 272 + 1186. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/5, -3\/574, -63?\nAnswer: -3\/574","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3949 - 3947. Solve 6*h = u*g + 2*h - 12, 0 = -5*g + 3*h + 16 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + 2.5. Let q = n + -2.4. Which is the closest to -0.3? (a) q (b) -5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence na when two letters picked without replacement from fana?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3780 and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -16, 2*j = -4*n - 5 + 39. Suppose -2*h = -5*x + 20, -2*x + j = -4*h + 1. Calculate the least common multiple of x and 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x + 3*z - 12, 139*z = -2*x + 143*z + 14 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*y - 9*y. Let a(c) = -5*c - 1. Let v be a(y). Solve -v = -2*d + d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krewkar. What is prob of sequence rr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-454)\/(-12) - (358 - 321)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 632.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4544295 by -5.\nAnswer: 908859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1088) + 1) - sqrt(1088) - (-1*sqrt(1088) + 0) - (2*sqrt(1224) - sqrt(1224))\/(-2*sqrt(8))) + -1.\nAnswer: 4 + 83*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60178537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 95828.2 weeks?\nAnswer: 57956895360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 53\/(9540\/(-40)) + 5\/(45\/272). Solve 405 = -p*c + 165*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s + 4*s + 3*s**3 - 15*s**2.\nAnswer: 3*s**3 - 15*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 308\/107 + -58545\/749. Let i = -75 - z. Determine w so that -i*w**2 + 2\/7*w + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/11 (b) 11 (c) 0.1 (d) -1 (e) -0.98\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6441361429 to five dps.\nAnswer: 0.64414","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -175421701 divided by -1\nAnswer: 175421701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.43013t to kilograms.\nAnswer: 13430.13","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-5 - (5 + -3 - 3) - 2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*n**2*x**2 - 2*n**2 + 2316*n*x**2 - n*x - x + 150 wrt x?\nAnswer: -18*n**2 + 4632*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 r when three letters picked without replacement from {f: 4, r: 3, w: 2, l: 1}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 5:37 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125 + -1 + (7963 - 7925).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 5*y = -25, -y + 5 = k - 5*y. Suppose 11 = -k*w + 36. Suppose g + 42997 = -b, w*g = -3*b + 7*b - 215012. What is g rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000019863 rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.46 - 0.06. Let b = 0.077 + -0.677. Let p = b - g. What is the second smallest value in p, -1\/3, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 708, 2518, 5380, 9246, 14068?\nAnswer: 19798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/sqrt(539) + (-4*sqrt(320))**2.\nAnswer: sqrt(5)\/7 + 5120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 10:05 PM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 25 + 31 = 2*i, -287 = 3*i - b - 369 for i.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 4*a**2 - 13*a - 6. Let i be w(-6). Is i at least 5\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 161.1737074 - -0.11.\nAnswer: 161.2837074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 + 25. Let n be (8 - -4) + (3 - (0 - g)). List the prime factors of (1 - -2)*n\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -198223971276 and -74.\nAnswer: -198223971350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12353?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20297*h**4 + 118947 wrt h?\nAnswer: -81188*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 188233259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**3 + 27*q**2 + 91*q + 10. Let t be m(-7). Solve 0 = 2*u - b - 5, -4*b - 20 = t*u - 5*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 45*u - 219. Suppose 2*a - d + 6*d = 89, -3*a - d = -114. Is 7 a factor of p(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**3 - 2*v**2 + 6*v. Let g(p) be the first derivative of p**4\/2 - 2*p**3\/3 + 5*p**2\/2 - 7. Let z(d) = 5*a(d) - 6*g(d). Factor z(q).\nAnswer: -2*q**2*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454 is divided by 168.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 402*c - 398*c = 5*v, 2*c - v - 6 = 0. Let t(y) = 15*y - 1. Let a be t(2). Solve -q + c*s = -a, -4*q + 5*s + 27 = -14 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 13. Let j = u + -15. Sort j, 1\/6, 1\/7 in decreasing order.\nAnswer: 1\/6, 1\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1302 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -51364 * -8.8.\nAnswer: 452003.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 3:12 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 19\/18*-4 - (1 + -2 + -3). What is the fourth biggest value in -1\/2, -6\/127, -8, r?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 128902?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 200*t**3*x + 470*t**2*x**2 + 2*t**2 + 4030*x**2 + 2*x + 58 wrt t?\nAnswer: 600*t**2*x + 940*t*x**2 + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m + 4. Let f be h(0). Suppose -2*n = 4*t - 3*n + 8, -t - 2 = -2*n. Which is the nearest to 1\/3? (a) t (b) 5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 + 9\/9 - 3\/(-1) - -142. Let s(n) = -6*n - 4. Let c be s(-3). Let d = g + c. Does 31 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 152314 to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -0.5481\nAnswer: -1.0962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 9 = -2*t. Let o(v) = -v + 3. Let j be o(t). Suppose 2*b + 4 - 8 = j. Solve 0 = -5*m - 27 + b for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 32.5 in 0.4, 5, 0, -0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/(sqrt(15)\/sqrt(5)))\/(sqrt(90)*-2 + sqrt(90) - sqrt(90)).\nAnswer: -sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 10*g**2 + g - 9. Let q be w(10). Is (-226)\/(-12) - q\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 2*v + 2*y, -v + 64*y - 2 = 68*y. Let s(i) = -2*i + 3. What is the remainder when v is divided by s(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 3:28 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*t - 75*t = -38*t. Solve 8*f - 2*f - f = t for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1200101100 (base 3) in base 7?\nAnswer: -165312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-1.81\nAnswer: -0.905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2 - 6*r + 20. Determine i(6).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 389a8 + -1382?\nAnswer: 37626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5504 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 6. Let a(f) = t*f + 7*f + 4*f. Let h(m) be the third derivative of -m**5\/30 - 28*m**2 - 15. Determine a(h(o)).\nAnswer: -30*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, t: 10, b: 6}. Give prob of sequence pp.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - (-9 + -4 + 27).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + -24. Let k = 26 - o. What is the greatest common divisor of 9 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j - 4 + 1 - 3 - 1. Let k(a) = a**3 + 3*a**2 - 5*a - 2. Let u be k(-4). Let i be u\/(-7) + 4\/14. What is g(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of -7*f**4\/24 - 314*f**2. Let m(q) = -q - 1. Let n(v) = -20*v - 16. Let j(b) = -16*m(b) + n(b). Calculate x(j(k)).\nAnswer: 28*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189*o + 67*o**2 - 270*o + 451*o.\nAnswer: 67*o**2 - 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 566557 (base 9) in base 8?\nAnswer: 1226762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-326)\/(-9) + (-26)\/117. Suppose -7*z - l = -3*z. Which is the second biggest value? (a) z (b) -0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 538030, 1076073, 1614114, 2152153, 2690190, 3228225, 3766258?\n\"Answer: -m**2 + 538046*m - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1*(0 + 246\/(-42)) and 393\/(-3)*3\/18?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4*i + 4 = 0, -4*k - i + 1 = 3. Let o = -7 - -11. Let d = o - 4.4. Which is the third smallest value? (a) -2\/13 (b) d (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.3 + -1. What is the second smallest value in -5\/4, p, -3?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 599.3788m to micrometers.\nAnswer: 599378800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15906.6 rounded to the nearest one thousand?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1299 is divided by 108.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 minus -0.05116734?\nAnswer: -11.94883266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 7*f - 15. Suppose f*k = 0, 2*g + g = -2*k - 12. Let l = -1 - g. Solve x = -l*x + 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = z - 4*g, 0 = -3*z + 2*z + g - 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0745907 milligrams to kilograms.\nAnswer: 0.0000000745907","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, 70, 2, -6449?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 1 (b) 1\/4 (c) -1 (d) 1993\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*u + 4. What is the third derivative of -11*v**u - 34*v + 34*v - 14*v**6 wrt v?\nAnswer: -1680*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 114?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 247.09815 months to millennia.\nAnswer: 0.0205915125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76\/13680*54*(-1)\/((-3)\/4)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -39796.2864 rounded to the nearest 1000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010001 - 1110010011?\nAnswer: -1011000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31 - (-7 - -23)) + ((1 - -4) + 7 - 9).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 28*o**4\/11 + 2*o**3\/11 - 84*o**2\/11 - 62*o\/11 - 4\/11 = 0.\nAnswer: -1, -1\/14, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(2\/30*-3). Let n be ((378\/60)\/7)\/((-24)\/x). Which is the third smallest value? (a) 0 (b) 5 (c) 1\/2 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 (base 13) in base 4?\nAnswer: 1311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92041*i - 198 = 92050*i for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 306, 316, 332, 354, 382, 416?\n\"Answer: 3*g**2 + g + 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 0.0120263.\nAnswer: 0.00240526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 - 2*m**2 + m**4)*(2*m - 2*m - 6*m) - 10906 + 10906 - 116*m**5.\nAnswer: -122*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 14*p**2 + 14*p - 15. Suppose 0 = 4*g + 76 - 16. Let o be s(g). Solve o*c = 5*c - 15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -68 (base 13) to base 3.\nAnswer: -10012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90858?\nAnswer: 2, 3, 19, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -w**6\/120 + w**5\/60 + w**4\/24 - w**3\/6 + 8*w**2. What is v(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-3))\/(5\/3). Suppose 4*q = -3*b - 451 + 456, -9*b = -5*q - 185. Let h = -260\/7 - -3886\/105. Put n, q, h in increasing order.\nAnswer: q, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 n when four letters picked without replacement from onnnorirrnoonrikiorn?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j - 2*j - 92 + 7*j - 594.\nAnswer: j - 686","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 83135912*f**3 + 923*f**2 - 9772 wrt f.\nAnswer: 498815472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -212024 - -355017. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 22*m - 260424581 = 0. Let z = 398520299\/26 - m. Let u = 8613 - z. What is the common denominator of 107\/22 and u?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, 17, -3\/2 in ascending order.\nAnswer: -42, -3\/2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3522 divided by 587?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 6. Let r be w + -7 + 3 - 33. Let u be 4\/10 - r\/(-25). Which is smaller: -2 or u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0212 - 199.9788. Let n = r - -195. Put n, 3, 4 in descending order.\nAnswer: 4, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 14 = 4*t + 34, 0 = 3*r + 21*t + 105 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**2 + 13*v**3 - 1602*v + 1607*v + 3*v**2. Let j(y) = -13*y**3 - 4*y**2 - 4*y. What is 4*i(u) + 5*j(u)?\nAnswer: -13*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.079215*-8.2.\nAnswer: -0.649563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 103 - -3?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -9.32 > -3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 872856899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 823*f**6\/6 - 2*f**2 + 165*f + 995. Find the second derivative of w(o) wrt o.\nAnswer: 16460*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -17 - -14 - (7 - 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -93*w - 3030. Calculate j(-31).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -737.72 + 720. Let r = k + 18. Round r to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -19220, -38910, -58600, -78290, -97980?\n\"Answer: -19690*a + 470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**8)**(-16) assuming y is positive.\nAnswer: y**112","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 176302.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -206 - -817\/4. What is the common denominator of a and -9\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, z: 1, r: 2, h: 7, c: 1, k: 2}. Give prob of sequence rick.\nAnswer: 1\/3570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*y = 32*y - 4*z - 416, -220 = -2*y + 5*z. What is the least common multiple of 400 and y?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -42. Let t = -75 - -45. Let y be (-1030)\/(-150) + (-4)\/t. What is the highest common factor of x and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 101 - 11. What is the tens digit of (z\/25)\/((-2)\/35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + 14*h + 14. Let r be m(-13). Let k(g) = 15*g**2 - 1. What is the tens digit of k(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 5*r**3 - r**3 + 1 - 3*r**3. Let h(j) = -13*j - 20. Let g(k) = 15*k + 24. Let z(s) = 5*g(s) + 6*h(s). Determine m(z(q)).\nAnswer: 27*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1472.75*124\nAnswer: 182621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -54c9aa5 - -3?\nAnswer: -54c9aa2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2366 and 4042817759?\nAnswer: 4042815393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 1 - 10. Calculate the highest common factor of o and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -25, -33, -45, -61, -81, -105, -133?\n\"Answer: -2*a**2 - 2*a - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u + 12*u + 81 = 0. Which is the second biggest value? (a) 0 (b) 3 (c) -1\/3 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17070*g - 1576*g**2 + 34146*g - 17076*g as b + z*g**2 + y*g and give z.\nAnswer: -1576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176*l + 18 = 171*l - 3*u, -3*u = 18. Which is the third biggest value? (a) 6\/7 (b) l (c) 3 (d) -1\/2 (e) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 968121?\nAnswer: 3, 7, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 3 - 4 - -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -2. Let m(j) = -j + 2. Let b(p) = 8 + 4*p**2 - 5 - 5*p**2 - 2*p. Let w(v) = y*b(v) - 3*m(v). Find the second derivative of w(u) wrt u.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 1 = -2*u, -3*u - 21 = -6*u - 3*p. Let i = 131 + -87. What is the greatest common factor of u and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2.2 and -645.24?\nAnswer: 647.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (152*d**3 + 2*d - 49 - 305*d**3 + 155*d**3)*(d + d - d).\nAnswer: 2*d**4 + 2*d**2 - 49*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/43 in 2, -2\/9, 2\/37, 5, 1\/4?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 2*c - 7 = 0, 7 = -4*x - c - 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h - 29. Let n be u(31). Suppose 4*q = -n*r + 704 - 130, -r + q = -299. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 358092 and 444528?\nAnswer: 12891312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and (-94)\/(-10) + ((-6)\/15 - -1).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1410 + 976. List the prime factors of b.\nAnswer: 2, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(2\/3))**(1\/56))**(-18))**(-18\/13) assuming q is positive.\nAnswer: q**(135\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -246 + 494 + 339*g**2 - 248. Let z(i) = i**2. Give t(z(s)).\nAnswer: 339*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -14*r**2 + 9*r**2 + 6*r**2. Let t(p) = -27*p**2. Calculate t(a(z)).\nAnswer: -27*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 5*q + 3. Let p be (-96)\/(-20) + 5\/25. Let u = -7 + p. Let r be k(u). Solve -s + r = -4 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from oioioigiooood.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 45563 to the power of 1\/2, to the nearest integer?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 + 53 + 87*d - 14.\nAnswer: 87*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.9 - -5.9. Which is the nearest to 2\/3? (a) -4 (b) 1\/4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 l, and 2 t when four letters picked without replacement from xlnllltxxpxxxlmxt.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 3 (b) -7\/2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10.8 equal to -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 2 = 3*y, 3*z = -0*z + 4*y + 14 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3254 - -4.6164. What is j rounded to one dp?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -4*j + 43. List the prime factors of 391 + j + -3 + (1 - 0).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 94 = 2*o, -o + 3*o = 4*f - 82. Let t = -56 - 11. What is the remainder when -6 + 3 + (-1 - t) is divided by f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-496)\/10 + 6304\/3940 - 6\/1.\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**3 + 97*j**2 + 1122*j + 329. Determine d(-30).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24\/(-5)*(-2 - 152\/(-78)). Let h = -4517\/130 + w. What is the common denominator of ((-309)\/(-15))\/(30\/25) + -4 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 34 = -7. Let c = 44 + j. Suppose -c*q + 47 = -2*q + 3*i, -i + 4 = 0. List the prime factors of q.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 975.556 millennia in years?\nAnswer: 975556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 i when four letters picked without replacement from {c: 3, i: 11}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36 * 9317879.\nAnswer: -335443644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 74*b**2 - 346*b - 65. Let r be f(-69). Let a = 1 - 1. Solve a = -r*i + i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 65752.9 + -75633. Let t = v - -10473.627. Let y = t - 593. Round y to two decimal places.\nAnswer: 0.53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 31*u - 102. Let t be z(27). Suppose -11*n + 5*r = -t*n - 660, -5*n + 663 = -4*r. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-8)*296\/(-222))\/(21\/8)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1190 - -1199. What is the second smallest value in -5, y, -2.9, -0.2?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 13*w - 11. Let j(s) = -s**2 - 6*s - 5. Let b(h) = -13*j(h) + 6*z(h). Is b(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 146497\/4 + -36624. What is o in -4*o + v*o**2 - 17\/4 = 0?\nAnswer: -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h = n - 8, 3*h + 149*n - 125*n = -90 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -320, -410, -498, -584, -668?\nAnswer: -750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -9, 3, -1\/12, -6?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/12 in 4, 13, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j - 2. Let k be t(-2). Let g = 3 - k. Suppose -2*l + 4*m - g = -11, 15 = -l - 3*m. Let f(h) = -h - 2. Calculate f(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 2, 5*u = -3*b - 7 + 75. Solve -5*h + 2*l = 33, 2*l + l + u = -5*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*b - 2*b + 48. Find u such that 23*u**2 + 5\/3*u**3 + 4\/3 - 32\/3*u - 100\/3*u**b = 0.\nAnswer: -1, 1\/4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46752243.\nAnswer: 3, 2749, 5669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -115410301 (base 6) in base 9?\nAnswer: -4161531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -186*(2 - (-28)\/(-6)). Let v be q\/36 + (-4)\/(-18). Let h = 13 - 8. Solve -h*n = v + 6 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1484 and -0.02452?\nAnswer: 36.38768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - 2)*-2 + (-12)\/2. Suppose 0 = -2*p + 5 - 1. Let l(n) = -5*n**2 + 3*n**p - n**x + 2*n**2. Let r(k) = -25*k**2. What is r(l(u))?\nAnswer: -25*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 341*d**2 + 31710*d - 285. What is j(-93)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 5*b + 5*n, -11 = -3*b - b + 5*n for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37962 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 938*m + 8 = 940*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 107502, 107500, 107496, 107490, 107482, 107472, 107460?\n\"Answer: -r**2 + r + 107502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 481?\nAnswer: 962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 5*r = -6*j + 46, 3*r = 0. Let i(n) = -39*n - 7. What is the remainder when i(-4) is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 v when two letters picked without replacement from vsss?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-70)*-115)\/((-366)\/(-2562))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -288030 and 132?\nAnswer: -38019960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 0)\/(-36) + (-50)\/12\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -34011741*p**2 - 71148802*p.\nAnswer: -68023482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 83, 5, -5, 4, 0 in descending order.\nAnswer: 83, 5, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 224 and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 5*i - 12, 5*p + 4*i - 30 = -i. Suppose 0 = 2*j + p*k - 4, 5*j + 4*k - 10 = 0. Suppose -a + 2 + 0 = 0. Solve w = a*w - j for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 11669602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -0*p - 2*o - 40, -3*p - 4*o + 28 = 0. Calculate the remainder when (-107)\/(-3) - (-4)\/(-6) is divided by p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19 + 157b9?\nAnswer: 157d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -231*q - 4728 + 4126 = -8551 - 4294 for q.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 199184497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 3159.\nAnswer: 12636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4*g = 232 - 88, -2*g = -4*h + 138. Calculate the greatest common divisor of 22 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 - -114355242?\nAnswer: 114355255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2544*r - 12468*r + 2535*r + 2320*r + 2541*r + 2534*r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 294 and 8.\nAnswer: 302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(605) - (-5*(-1 + sqrt(605)))**2) + (sqrt(605) - (0 + 0 + sqrt(605))) + sqrt(605).\nAnswer: -15149 + 572*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -25*u + 5*u. Solve -u*x - 3*x + 7*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -348 = -345?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2953.7 - 2954. Which is the nearest to -5\/3? (a) -0.2 (b) 3 (c) n (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -3*r - 9. Let p be f(-4). Suppose 0*a = 9*a - 27. Solve p*w = -2*z - 5, -w = -5*w - a*z - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a326 (base 16) in base 5?\nAnswer: 2314031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/6*(-30)\/4. Suppose -y = 2*s - 4, -x*s + 12 = 3*y - 10*s. Suppose 32*h + 162 = -49*h. Sort 0, y, h in decreasing order.\nAnswer: y, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/8)\/(4*10\/(-480)). Let q be f*10\/45*(-18)\/4. Sort q, 11, -4 in increasing order.\nAnswer: -4, q, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 44 = 2*a, -4*a = -80*l + 78*l - 70 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3*r = -2*p - 4809, 0 = 5*p + r - 8015. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 30556*x**2 - 84 + 87 + 8055*x**2 in the form f + n*x**2 + v*x and give n.\nAnswer: 38611","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3*w**2 - 2*w - 2. Suppose 6*d = 4*d + 4. Let c(x) = x**2 - x. Let k be (4\/5)\/2*10. Suppose k = 3*v + 7. Calculate d*c(m) + v*u(m).\nAnswer: -m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -61, -129, -189, -235, -261, -261, -229?\n\"Answer: r**3 - 2*r**2 - 69*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 89322, 178653, 267984, 357315?\nAnswer: 446646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -1\/4, 2, -0.84, 0.09 in descending order.\nAnswer: 2, 0.09, -1\/4, -1\/2, -0.84","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*i - 108. Let j = i + 39. Solve -5*t + h = 23, 4*t + 0*h - 3*h + j = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g. Let q be z(1). Let l be q - (-143 - (3 + -1)). Calculate the highest common factor of 16 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*y + 6*y - 5*y)*(41*y + 2 + 2*y - 9*y) + 2*y**2 + 0 + 0 as d + h*y**2 + u*y and give h.\nAnswer: -304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*y + 34 = -22 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 121, 1564 in decreasing order.\nAnswer: 1564, 121, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 + -57 + 13 + (4 - -6).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i. Suppose 4*k + 37 = -3*f, -2 = -3*f + 1. Let c = k - -12. Let y(g) = 4*g - c*g - 9*g. What is y(s(p))?\nAnswer: 14*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21.90000726 - 21.9. What is o rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 507 and 200499?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -965 - -678. Let l = v - -286.9797. What is l rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64 and 867304?\nAnswer: 6938432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-182)\/65*-5\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*b - 74 = 0, s - 2*b + 28 = -4. Sort 42, s, 0, -2 in descending order.\nAnswer: 42, 0, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*(w**2\/w)\/w*w)**(-4\/7)\/(w**4)**44 assuming w is positive.\nAnswer: w**(-1244\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1071 and 126?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jaadjdjauuddjdudjad. Give prob of picking 1 u and 3 a.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 6*z + 15 = -5*t, -4*t - 14 = -5*z. Let w(a) = 2*a**2 + 6 - 6*a**2 + a**2 - 7. Let h(s) = s**2 + 1. Determine t*h(v) - w(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5*d + 32. Suppose 3 = 2*f - 4*b - 5, 0 = 4*f + b - 25. Let r be t(f). Let w(g) = r + 2 - 4*g - g + 4*g. Give w(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -260, 0.07, 0.5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((y**(-2\/9)*y)\/y))**(-3\/28) assuming y is positive.\nAnswer: y**(-11\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 2*p + 9 + 9 = 0, 4*p = -5*a - 41 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1100))**2 + (sqrt(11) + sqrt(11)*-1)*-2.\nAnswer: 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 385 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 + 4*z**2 + 2*z. Let b be t(4). Let d be b - 0\/(-4 + 2). Solve -4*j + d = -2*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 6*a - 13. Let c(h) = 10*h - 19. Give -5*c(z) + 8*m(z).\nAnswer: -2*z - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 2569.\nAnswer: 513.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3348*r**3 + 0 + 11406*r**3 + 0.\nAnswer: 8058*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1254.1959 minutes?\nAnswer: 0.870969375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -11 and -67295 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 6*w**2 - 213*w + 582. Let c be t(31). Are -258 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(((z*z**(-3\/13))\/z)\/z)*z)**(-33) assuming z is positive.\nAnswer: z**(-1386\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1536 is divided by 110.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7089 + -4466069\/630. Let p(a) be the third derivative of 1\/21*a**3 + n*a**5 + 0*a - 5\/252*a**4 + 1\/1260*a**6 + 0 - 10*a**2. Let p(t) = 0. Calculate t.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22024 times 130\nAnswer: 2863120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(175))**2*1 + (sqrt(175) + 2*1*sqrt(175))**2)*-3.\nAnswer: -5250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k + 5. Let p(f) = -1. Let y(b) = -6*p(b) - r(b). Let j(a) = -2*a + 2. Determine 2*j(q) - 6*y(q).\nAnswer: 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 69048876 and 38950648.\nAnswer: 1519075272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of -x**5\/12 + 65*x**4\/4 + 405*x**3\/2 - x**2 - 481*x. Factor q(h).\nAnswer: -5*(h - 81)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -16693*n. Let o(x) = 4*x + 2569. Calculate o(v(i)).\nAnswer: -66772*i + 2569","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -9074 divided by 13\nAnswer: -698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + 14535.22415?\nAnswer: 14534.92415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -84.074 + 0.074. Let y = 4297 - 4211.16. Let w = c + y. Round w to 1 decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) - (sqrt(108) + sqrt(108)*-5*6))*-5 + -3)**2.\nAnswer: 5400*sqrt(3) + 2430009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 10*j - 138. What is b(8)?\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 24.82 times -0.5\nAnswer: -12.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 1, 68, 6 in increasing order.\nAnswer: 2\/9, 1, 6, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 187330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 8:40 PM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of o**5\/10 + 23*o**4\/12 + 2*o**3 + o**2 - 2219*o. Determine c(-11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 51\/18)*256\/1408. What is the closest to c in -4\/5, -5, 2\/11, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1554968.62 to the nearest 10000.\nAnswer: 1550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 43792769 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 32, 50, 68, 86?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 - -22. Let r = 15 + i. Let f(y) = 2*y - 3. Give f(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 170 = 47. Let j = i - 21. Is 10 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 6 - 13 = i, -4*i - 4*f - 4 = 0. Let d be 12\/75*(-10)\/i. Factor 0 - d*a**2 + 2\/5*a.\nAnswer: -2*a*(a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -19*t**2 + 38*t**2 - 20*t**2. Let u(m) = -79 + 79 + 9*m. Give i(u(r)).\nAnswer: -81*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.4813 rounded to zero dps?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 466 + -1213?\nAnswer: -414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 388 and 31652652?\nAnswer: 31652652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**2 + 6*p. Suppose -85 = -5*f + 75. Let v = f - 29. Let w be q(v). Solve 2*i + i + 6 = w for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/241, 3, -1 in descending order.\nAnswer: 4, 3, 2\/241, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + 1 + (-48)\/(-16). Let c(g) = -g**2 + 12*g + 6. Calculate c(n).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wtattvwwwimmaawwavm?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -38, -209, -494, -893?\n\"Answer: -57*s**2 + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of m**5\/10 - m**4\/12 + m**3\/6 + 7*m**2\/2 + 4*m. Suppose 117*q = 42*q - 75*q - 8*q. What is g(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*f**3 - 72153202*f + 72153202*f + 26*f**3.\nAnswer: 38*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89056 = -3273*o - 96070 - 30892 for o.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -47\/10 != -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - c + 237 = 0, 0 = -3*c - 2*c - 15. Is m a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3376, -3378, -3382, -3388, -3396?\n\"Answer: -o**2 + o - 3376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4817 - -4861. Solve 24*o = 46*o - c for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - 0) + (-159)\/(6 - 3). Round m to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 1:31 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 6 - 2) + 4 - -4 - (20 + -42)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a + 5*a + 2*a)*(-2 - 2 - 1)*(-1 - 1 + 4)*(-3*a**3 + 0*a**3 + a**3) to the form z + o*a**3 + p*a + j*a**2 + u*a**4 and give u.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 10 = -5*y. Solve 17 = 5*j + y for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*v**3 - 27*v**3 + 90*v**3 + 260*v - 122*v - 21*v**3 - 15*v**3.\nAnswer: 5*v**3 + 138*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 - 58*r**2\/7 + 47*r\/7 + 18\/7.\nAnswer: -(r - 1)*(r + 9)*(7*r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 558561 a multiple of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2 - u + 3*u - 19 - 7*u**5 - 13*u**5 wrt u.\nAnswer: -400*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 + 19*t**2 - 19*t + 12. Suppose 302*y = 243*y - 1180. Determine a(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*l - 20177 - 116197 = 0. List the prime factors of l.\nAnswer: 3, 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-57)\/(-12) + (-21)\/28. Suppose 2*f + 3*f - h*c = 158, -3*f + 82 = 4*c. What is the highest common factor of 110 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1020 and 612?\nAnswer: 3060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*i, 7*r - 11*r - 196 = 2*i. Let w = -46 - r. Find the second derivative of -1473*p**2 - 9*p - 28*p**w + 1473*p**2 wrt p.\nAnswer: -560*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -649740 = -13*j - 6*j - 9*j. Is 21 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 527 a factor of 7725293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 38 = 132. Does 2 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0*7\/(-42))\/((-4)\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, x: 6, m: 4, b: 2, v: 3, n: 1}. Give prob of sequence xxne.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -5*t - 2. Determine r(2).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 42788.41ml?\nAnswer: 42.78841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 12. Let p be -4 + t - 48\/10. Are -4 and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + -3. Suppose 3*a + a + i = 0. Let c = 29 + -29. Put c, 5, a in descending order.\nAnswer: 5, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (73 + -18)*(-12)\/(-10). Let u = z + -39. Is 9 a factor of u*(-7)\/((-42)\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248 = -l - 3*l. Suppose 0 = 2*v + 5*s - l, 4 = 3*v + s - 89. What are the prime factors of v?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = g + 3*r, r = 2*g - 0*r - 11. What is the first derivative of -27 + 92*t**g + 2*t - 91*t**4 - 2*t wrt t?\nAnswer: 4*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - 331*u - 11886. Let f be c(-41). Calculate the greatest common divisor of 1436 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12555 and 75163995?\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*v = -39*v + 2808 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -220 (base 9) in base 16?\nAnswer: -b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*n = n - 20, -d + 5 = -2*n. Let a = -15 + d. Sort -3, 3, a.\nAnswer: -3, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 946 and 4509109.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 188059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -299*d**3 + d**2 - 40*d**3 + 7*d**2 + d**2 - 7*d**2 + d to the form c + x*d**2 + p*d**3 + s*d and give p.\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 16254, -62, 1, 1\/2 in descending order.\nAnswer: 16254, 1, 1\/2, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/(-5) + -10 - -32. Suppose 15 = 5*t - 0. Suppose -u - t*r + j = 0, 0 = u + 4*r - 5*r - 24. Is 24 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 5*s + l - 25, -l = -s + 6. Let q be ((-190)\/(-3))\/(s\/21). Round q to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = -2*l + 40, -10*l + 3*a - 30 = -9*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 10*x - 32. Let i be o(11). Let m = i - 84. What is the common denominator of (94 - 91) + -23*m\/4 and -101\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266 = -4*c - 5*s, -23*c + 26*c - 153 = 4*s. Let d = 202 - -93. What is the highest common factor of c and d?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49541337233 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/2 and (14 + (-4879741)\/348936)*(-3 + 1)?\nAnswer: 5628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(55)\/(-6*(sqrt(11) - (sqrt(55)\/sqrt(5) - sqrt(11)))))**2 + sqrt(50)\/((sqrt(10) + sqrt(20)\/sqrt(2))*4))*-5*2.\nAnswer: 125\/18 + 25*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 6*n + 3. Let k be a(-7). Let s(d) = 11 - k - d - 13. What is s(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1588 or -1591?\nAnswer: -1588","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 + (15 + -13)\/((-1)\/(-13)). Suppose -27*v + k*v = -51. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 25*(((-396)\/55)\/12)\/(-3). Let z(y) = -2*y - 7. Let x(s) = 2*s + 6. Suppose 3*a - 2*a = 3. Let w(r) = a*z(r) + 4*x(r). Determine w(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*r + 91 = -84 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5, 6, 5, 2, -3, -10?\n\"Answer: -j**2 + 4*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + i. Let d(j) = -21*j**2 - 28*j. Let t(m) = -d(m) - 28*p(m). Let a = -49 - -76. Let o(l) = -16*l**2 - a*l**2 + 44*l**2. Determine t(o(r)).\nAnswer: -7*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121846452.\nAnswer: 2, 3, 7, 13, 111581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -193534.3 minus -0.1?\nAnswer: -193534.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8223848 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1715 is divided by 209.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/8 and -11\/540.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39118*n**3 - n**2 - 32*n - 781.\nAnswer: -234708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 10 = 10*g + g - 10*g - 2*g, -2*g = 3*v - 55 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 7:11 AM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -16. Suppose -67 = -3*g - 5*k, 0 = g + k - 3 - 20. What is the highest common factor of g and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -194 - -209. Suppose f*n - 54 = 6. Solve 0 = n*r - 3*m + 8, -2*r + 0*m - 14 = m for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1293*s + 1300*s = -35 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12681 by -1225.\nAnswer: -12681\/1225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i + 1. Let a = 39 + -28. Suppose 3 = -a*b - 8. Let p(n) = 2*n - 3. Let u(d) = b*p(d) + t(d). Calculate u(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (5 - (-1 - 1 - -2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*j - 49 = -5*n, -14*j = -14*j - 4*n + 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 21*u**2 + 2*u - 1. Let w be q(1). Suppose -2 = -2*o + w. Let k(p) = 11*p + 14. Calculate the remainder when k(4) is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 4*l + 17 + 7, 3*l = 5*z - 30. Find y such that 0*y**4 + z*y**2 - y**2 + 3*y**4 - y - 7*y**3 = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2)**(-20)*t*t**(-1\/14)*t*t*t*t**(-2)\/t*t*t*((t\/t**(-10))\/(t\/t**(-5)))**48 assuming t is positive.\nAnswer: t**(2841\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1443 a factor of 171541259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 3*g + 25. Suppose 187 + 63 = g*z. Suppose 0 = i + i - w - z, -2*w = -5*i + 126. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssslisslili. What is prob of sequence sll?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 23247.54 decades in years?\nAnswer: 232475.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.7 + 0.6. Let h be (-16)\/104 + 366\/(-468)*3. What is the biggest value in -2\/21, h, 3, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 454 + 43 + 233 + 2*l**2 - 11 to o*l**2 + v + x*l and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -h + 15. Suppose -w - 3*w - 36 = 0. Let x = w + 6. Put h, x, 4 in ascending order.\nAnswer: x, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*g + 32*g - 426 = 0 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1771 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1181 - -2729. What are the prime factors of t?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 27*y + 285. Let s be p(-35). Suppose -2*n + 3*n - 5*f - 1 = 0, 0 = 4*f. Suppose -7 = -2*i + n. Sort -3, s, i, -5 in decreasing order.\nAnswer: s, i, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -4 + 26. Suppose -11 + p = 6*z. Put -1, -4, 1, z in increasing order.\nAnswer: -4, -1, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 20388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 392071746*j*y**3 - 2*j*y**2 + 11081487*j - 5*y**2 wrt y?\nAnswer: 2352430476*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 w, and 1 m when three letters picked without replacement from {x: 3, w: 2, m: 9, s: 3, a: 1}.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 679 - 677. Sort 4, -194, x in ascending order.\nAnswer: -194, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11067 is divided by 184?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -530460 and 0.331.\nAnswer: -530459.669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(8\/(-24)*6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n + 2. Suppose -3*g - 2*g = 0. Let u be p(g). Suppose -3*b = u*b - 95. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 36*z**2 - 73*z + 121. Give v(-38).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 137, 251, 365?\nAnswer: 479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 140715468*r**2 - 203071728 wrt r?\nAnswer: 281430936*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 + 25 - 15) + 11 - (1 - (0 + -48))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 4*m = -u + 10, -3*u = 15. Solve 0 = -6*h + m*h + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - (-8)\/24) + 0. Let r = 0.5 - -10.5. What is the biggest value in v, 5, r, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51 + 47. Put -2\/11, q, 0.4, 5\/2 in descending order.\nAnswer: 5\/2, 0.4, -2\/11, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40812 is divided by 5095?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - (-69)\/(-63))\/(35\/210). Which is the nearest to -62? (a) -2\/5 (b) 4 (c) -2 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -2*h - h - 1895, -5*h - 1503 = -4*p. Let c = p - 151. What is the highest common divisor of 77 and c?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, 0.1727, 74, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*a - 8624 + 10304 = 0 for a.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -160 - -161. Suppose -g = -v - 14, 3*v + 55 = -3*g + 13. Let m = 13 + v. Sort q, 2, m in ascending order.\nAnswer: m, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of ((-30910)\/(-30) + 5)\/(2\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2 (b) -179 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1046249 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 7) to base 2\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -10*o**5 + 5704*o**4 - 580920*o**3 - 69758944*o**2 - 242339840*o + 108134400 = 0.\nAnswer: -66, -4, 2\/5, 320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-88)\/44)\/((-12)\/2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f\/(f**6\/f)))**(-42))**(-1\/2) assuming f is positive.\nAnswer: f**126","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 495530640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 670238.\nAnswer: 2, 53, 6323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -a**2 + 2233410*a + 878064?\nAnswer: -2*a + 2233410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17548 is divided by 835.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cdw when three letters picked without replacement from ccwccdpdcdcccpwc.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 9 = -4*r - r, 0 = v + r - 3. Let w(h) = 6*h - h - v*h. Let z(m) be the first derivative of m**2\/2 + 1. Give z(w(j)).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42.469 - -0.169. Let f = g - -43. What is the third smallest value in -2\/11, f, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*p - 7 = -147*p + r, -5 = -5*p + 2*r for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/4455?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4541*y = -4426*y + 9145*y - 1246 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and 0.05906.\nAnswer: -1.94094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -2*v + 78. Let q be 20\/(-15) - v\/24. Which is the second biggest value? (a) -0.2 (b) -2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66686 + -66641. Let n = 2 - 1.9. Which is bigger: v or n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4 = n, -6*n + n + 20 = g. Let l(i) = i - n*i + 2*i. Let a(z) = -z - 1. Let b be (-5 - -3)*(-6)\/(-4). Determine b*l(x) + a(x).\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 - -1 - (-55)\/(20900\/(-2240)). Let o = -3.1 + 3. Let j = 2763\/11 + -251. Which is the closest to j? (a) p (b) o (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101*-3.\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence goon when four letters picked without replacement from nggogggonsongsngggng.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 352*l - 9073. Calculate x(28).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -43 in 4, 0.022, -2\/3, 3\/8, 0?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**2 + 4*j**2 - 2*j**2 - 7 + 3*j**2 + 7 + (5*j + 0*j - 3*j)*(2*j + 3*j - 4*j) - 3 + 36*j**2 + 3541*j - 3541*j to p*j + u + w*j**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 70, 236, 562, 1102?\nAnswer: 1910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174*y - 178*y + 354*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -237, 0.5, 8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p + 49 = -p - 3*h, h + 27 = 3*p. Solve 0 = -5*y + 5*i - 30, -3*i + p*i - 29 = 4*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2332871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-2 + 13 + -1 - (2 + 5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1178*y - 16*y**4 + 3*y**4 - 1176*y + 3 - 9*y**2 in the form v*y**2 + u*y**3 + r + c*y**4 + i*y and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 2*r**2 - 3*r + 1. Give m(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*g**3*q**2 + 802*g**3*q*s - 3*g**2*q**2*s - g**2*q*s + 1502*q**2*s wrt g.\nAnswer: -72*q**2 + 4812*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16.1? (a) -1\/4 (b) 5 (c) 4 (d) 0.0443 (e) 3\/14 (f) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96892 and 18?\nAnswer: 872028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 1 + 9. Suppose -2*c = 8*y - g*y + 8, 0 = 4*y - c - 4. Solve y = -5*v + 4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 237*m + 482*m - 231*m)*(3 + 17 + 23).\nAnswer: 602*m + 215","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -195603*o + 1. Let l be y(-3). Let m = -1051810 + l. What is m rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nii when three letters picked without replacement from {i: 2, n: 6}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-1) - (0 - -2). Let z = y + 6. Suppose -168 = -z*m - 18. Calculate the highest common divisor of m and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 1. Let g(y) = 3*y**2 + 2*y + 1. Let h(z) = -z. Let i(o) = g(o) + 3*h(o). What is -i(k) + 2*w(k)?\nAnswer: -k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (6 - 2) + 2 - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 8:42 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q\/q**6*q)*(q**(6\/7)*q*q)\/q*q**3*q**(-4) assuming q is positive.\nAnswer: q**(41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11695, 47148, 106235, 188956, 295311?\nAnswer: 425300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2856702230?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72 by -41447.\nAnswer: -72\/41447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1.46, 6, -7, 0, 0.4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -8 (c) -0.3 (d) -207 (e) -0.134 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**11\/z)\/(z\/((z\/z**(1\/2))\/z*z)))\/((z*z**(-2\/29))\/z**(-13)))**(2\/87) assuming z is positive.\nAnswer: z**(-257\/2523)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 22, 0.07, 1\/7 in ascending order.\nAnswer: -1\/2, 0.07, 1\/7, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b**2 - 2*b**2 + 50*b - 9*b**2 + 14*b**2 to z*b**2 + n + d*b and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(32\/(-30)) + 4\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12943608 divided by 4269?\nAnswer: -3032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 + 10 - (2 - 3)) + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6\/3)\/2*(7534 + 167).\nAnswer: 3, 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -l**7\/105 + l**6\/20 - l**4\/3 - 7*l**2. Factor a(y).\nAnswer: -2*y*(y - 2)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 84 - 35. Suppose 4*m - 39 = b. Suppose -4*y**3 + 4 - 10*y**3 - 5*y**2 + 37*y**2 - m*y = 0. Calculate y.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - 4*g**2 + 10*g + 65. Let t be q(-5). Solve -6*v + 46 = t for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 2*d + 1. Suppose -4*s + 3 + 1 = 0. Calculate u(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*r = -69*r + 464 + 136 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -65 + 20. Let c be 34 + 9\/(r\/20). Calculate the greatest common factor of 10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 7 = -q - 19, 0 = 4*q - v + 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-120)\/(-90) - (-8)\/3. Suppose 3*d - 14 = a, j*a = 2*d - 0 + 4. What is the remainder when 7 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/3))**13\/(o\/(o\/(o*o**(4\/7))*o)*o**(1\/2)*o)*((o**(-1))**(1\/6))**36 assuming o is positive.\nAnswer: o**(25\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-5307)\/(-61)*86\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32113142 (base 6) to base 9.\nAnswer: -1686368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -165516 divided by -2122.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 68 - 68. Suppose -5*i - 6 = -t*i + 2*x, i = 4*x + 12. Solve -5*l - 23 = 2*b - 5, -3*b - 12 = i for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(2 - 1 + 0)*(0*n + 5*n - 3*n)*(-16 + 6*n + 16) + (-5*n + n + n)*(-3*n + 0*n + 4*n).\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 2*x - 3466, 20 = -6*c + 2*c. What is the hundreds digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 846 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -358154 times 1.1\nAnswer: -393969.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -136664*k**4*p - 18*k**4 + 3542*k**2 - 461*k*p wrt k?\nAnswer: -3279936*k*p - 432*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 131?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-648)\/320 - 15\/(-24).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 253 = 4*x + 76, 4*x = -g + 181. Let f be 4 + -6 - (4 + -2). Let h(t) = t**2 + t + 6. Let d be h(f). What is the greatest common factor of x and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**3 + 5*l**2 + 67*l + 5. Let m(z) = 2*z**3 + 4*z**2 + 66*z + 4. What is 5*m(u) - 4*x(u)?\nAnswer: 2*u**3 + 62*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16824773 minus 0.00851?\nAnswer: 16824772.99149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-6))\/(10\/(-120))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -j**4\/4 + 7*j**3\/3 + j + 37164. Let t be (39\/3*-1)\/(-1). Let k(i) = -2*i**3 + 15*i**2 + 2. What is t*w(c) - 6*k(c)?\nAnswer: -c**3 + c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13.6 + -3.6. Let w = 10.6 - 1. Let i = w - r. What is the smallest value in i, 1, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2. Let b(p) = -3*p**2 + 21*p. Give b(y(i)).\nAnswer: -3*i**4 + 21*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41139 - -1.\nAnswer: -41138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10590 + 162 = -329*l + 803*l for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/2 - (-13 - -14). Suppose -17 = -2*j + 5*g, -9 = 3*j - 5*g - 37. Suppose v - 5 = 2*x, x = -b*v + 4*x + j. What is the nearest to -0.1 in 4, v, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32*2\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 628\/9 - 70. Let t = 419 - -1. Let a = t + -11342\/27. Is a at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and 17040.0735.\nAnswer: 17035.0735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (406*u + 0 - 2 + 0 - 111*u)*(1 - 2 + 3) as z + v*u and give v.\nAnswer: 590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 952 divided by 14?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -49*z**3 - 5*z**2 - 6*z - 3. Is p(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-70)*210\/84)\/1.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 2, -25, -57\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 693532045.\nAnswer: 5, 138706409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 47, 90, 135, 182, 231, 282?\n\"Answer: z**2 + 40*z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*w + 304 = 29, -w - 198 = 2*i. Let s = -94 - i. Solve -4*r - s = 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2 = 34. Let l be (s\/54)\/(4\/6). Let k be (-5)\/((-105)\/28)*1\/(-4). Sort k, l, 1 in ascending order.\nAnswer: k, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -0.37002.\nAnswer: -1.48008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-410)\/656*6\/(-15)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 5. Suppose 0 = 3*w + 15, -2*w + w = -4*d - 963. Let u = d + 247. Calculate the greatest common divisor of u and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1818, -2990, -2782, -504, 4534, 13022, 25650?\n\"Answer: 115*s**3 - 1977*s + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a - 2*a - 2517845 - 21*a**2 + 5*a + 2517847.\nAnswer: -21*a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 588 * 0.5\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 z, and 1 p when three letters picked without replacement from {n: 5, z: 5, p: 5, y: 5}?\nAnswer: 25\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2626225227.\nAnswer: 3, 107, 909043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -18164.05, 2.\nAnswer: -18164.05, -3\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1839, 2674, 14927, 38790, 78133?\n\"Answer: 645*k**3 - 2*k - 2482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 11. What is the second smallest value in t, 0, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*l - l. Suppose -2*i = -3*i + l, -5*i + 8 = -2*p. What is the greatest common factor of p and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - (-3 - (0 - 0)). Factor 8*r**2 - s*r**5 + 6*r**5 - 6*r**4 - r**5.\nAnswer: -2*r**2*(r - 1)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 7*n - 270. Let y = n + -30. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -5*c + i, 20 = i + 4*i. Let w(z) = z**3 + 4*z**2 - z - 2. Let r be w(c). Factor -2*h**2 - 4*h**2 + h + 0*h + 2*h**r.\nAnswer: -h*(4*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2220 divided by -3?\nAnswer: 740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4*c - 14. Let t be g(5). Which is smaller: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 6670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 3414.5569 to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**5 - z**4 - 10*z**3 - 8*z**2.\nAnswer: z**2*(z - 4)*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 7*c + 12)*(3 + 3 - 5)*(1 - 3 + 4).\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 1109*s**2 + 21*s + 129. Is 69 a factor of w(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27918 divided by 22\nAnswer: -1269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 20. Solve -x - 5*j - 1 = 0, 3*x - 21 = -u*x + j for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1009\/153 + -23\/153. What is the closest to y in -4, 0.09, -5?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 593649?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-2))\/((-1)\/4). Suppose y*v = v. Let u(g) = -g**2 + 4. Calculate u(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -106, 0.4, 11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.18 + 4.18. Let w(l) = l**3 + 3*l**2 + 4*l + 2. Let c be w(0). What is the nearest to -0.1 in j, c, -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -256256 + 26?\nAnswer: -256230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 28*c + 135. Let t be d(-21). Let a = 111 - -593. Let z = t + a. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3452000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2*4\/8)\/((-1)\/(-4)). Suppose 3*l = -p - 2*p + 195, -l - 250 = -s*p. What is the remainder when p is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 6*t + 12. Let m be i(10). Let o = -23 - m. Sort o, -5, -1 in ascending order.\nAnswer: -5, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a + 8*o + 148, 7*o = -194222*a + 194226*a - 128 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mom when three letters picked without replacement from {x: 1, d: 4, m: 4, o: 6}?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l + 0*l + 6*l - 2*l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5 = 3*u + 3, -x - 16 = -5*u. Let t be -2*(-2)\/1 - x. Suppose 0 = 2*f - t*f - 148. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 2)*(-8)\/(-20). Let u = 112.8 + -112.5. Which is the nearest to -2\/3? (a) -13 (b) j (c) u (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -2\/7, 2.2, -2?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.35 at least -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 7. Let a be u - ((-6)\/(-3) + 3). Let i = 0 - a. What is the highest common divisor of i and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 6*v - 4. Let t be ((-5)\/5)\/((-2)\/18). Let c(i) = -10*i - 13 + 14 + t*i. Let p be 3\/15 + 11\/(-5). Determine p*z(l) - 10*c(l).\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 142001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 23659, 501 in increasing order.\nAnswer: 0, 501, 23659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -0.1 (c) 16951 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y + 13. Let i be z(-8). Suppose -i*a + 4*d = -33 - 190, 2*a - 88 = d. Let c = -40 + a. Solve -5*l + 25 = c*q, -1 = -4*l - 4*q + 19 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/8 of a tonne?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 1804*g - 155138. Determine h(86).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a*a**3)\/a)*a)\/a**(3\/2))**(2\/51)*a\/(a\/a**(-3)*a)*(a\/(a\/a**(3\/7)))\/a*(a*a*a**(2\/7)*a)\/(a\/a**(-2\/5)) assuming a is positive.\nAnswer: a**(-4969\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 3) in base 12?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 41*z**2 + 1779*z - 1093. Determine p(-44).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 276136790?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 9*d + 73 = 0. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 3:22 PM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 10.2. What is the third smallest value in s, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101 is divided by 84?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 4*p + 1. Let i be v(4). Let g = 15 + i. Suppose -4*k + 93 = -99. Calculate the highest common divisor of g and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*p - v + 299 = 0, p - 105 = v. Let i(b) = 2*b**3 - 6*b**2 - 6*b - 2. Let s be i(6). Let q = s - p. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2 - 1 - 2*i - 2 + 2 + 47*i**2. Let k be y(1). Factor 3*p**5 + 46*p - k*p - 6*p**4.\nAnswer: 3*p**4*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 463*g + 30 - 467*g - 2*g**2 + 0*g**2.\nAnswer: -2*(g - 3)*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -4*l**3 - 2*l**2 - l + 1. What is m(2)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -12*l - 96. Let y(i) = -i - 7. Let j(t) = 2*g(t) - 27*y(t). Suppose 3*m = -3*q + 12, -2*q + 4*m + 1 + 7 = 0. Determine j(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-8 - -4 - -3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 38. Calculate the remainder when 1041\/12 + (-120)\/(-96) is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 - (21 + -24 + 46) - -74?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 2*a = 4, 42*i + 4*a = 47*i - 31 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 15*m**4 + 2*m**4 - 2*m**4 + 0*m**4 - 2*m**2 to the form i*m + r + g*m**3 + z*m**2 + n*m**4 and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12291 by 3.\nAnswer: -4097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8936837?\nAnswer: 7, 13, 98207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 227*v**2. Let f(i) = 3*i - 6*i - 4*i + 5*i. Calculate f(m(u)).\nAnswer: -454*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 11:48 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 + i)*(0*i + 10*i + 4*i) + i**2 + i**2 - i**2 in the form m + s*i**2 + g*i and give s.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*((p**1*p)\/p)\/p)\/p*p)**(-14)*(p**(1\/4)\/p)**(-12\/5))**7 assuming p is positive.\nAnswer: p**(-427\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3625 (base 8) in base 4?\nAnswer: 132111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 34448 = 2*c, 13*k - 8*k = 11*c + 172244. Is 123 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 5)*(b - 3*b + 4*b) + b + 5*b - 5*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of r**3 + 3*r**2\/2 - 2*r + 16. Let q be t(1). What is the greatest common factor of 28 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**0)**42)**1\/((w**(1\/5)*w*w**2\/w*w)\/(w\/w**(2\/7))**(2\/123)) assuming w is positive.\nAnswer: w**(-13726\/4305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/((1*sqrt(70))\/sqrt(7))*6.\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-20)\/5 + (17 - 476\/14).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 205696371?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.0813 times -0.044\nAnswer: -0.0035772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1210000 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -648*z - 1044. List the prime factors of g(-15).\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 7 = 13. Suppose 9*f + 42 = 13*f - 5*o, -o - 10 = 0. Sort b, 4, f, -3 in increasing order.\nAnswer: -3, f, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 30 = -4*f + 12, -2*l - 3*f = 11. Suppose -y - 2*r + 4 = 0, 5*r - 7 = 5*y - 57. Suppose -y = 2*t - 28. Solve -3*w = l*w - t for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**3 + 4*g**2 + 4*g + 4. Let s be (-196)\/(-42)*(1 - (-2)\/(-14)). Let q(j) = 3*j**3 - 3*j**2 - 3*j - 3. Calculate s*q(o) + 3*l(o).\nAnswer: 6*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(2) + -2 + sqrt(2) + -1 + sqrt(2))**2 - (sqrt(2) + (sqrt(2) - (sqrt(4)\/sqrt(2)*-4 - sqrt(2)))).\nAnswer: -31*sqrt(2) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**5\/u)**2)**(-13\/7) assuming u is positive.\nAnswer: u**(-104\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 16\/20*(-2)\/((-176)\/(-20))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 1 - 3. Let s(b) = -3*b - 1. Let i(x) = x + 1. Let f(n) = p*s(n) - i(n). Let w(h) be the first derivative of -5*h**2\/2 + 151. What is w(f(o))?\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g**2 - 14*g + 14. Let a be u(10). Suppose 9*z + 780 + 660 = 0. Let v = a + z. Does 18 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -1\/30*g**6 + 0*g**3 + 0*g**2 + 1\/4*g**4 - 1\/10*g**5 + g - 6. Solve u(y) = 0 for y.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nqnhhq. What is prob of picking 1 h and 1 q?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12081 is divided by 526.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c**2)\/c)\/(c\/((c\/((c\/c**2)\/c))\/c))*(c**(1\/5)\/c*c)**(-38))**(-11))**21 assuming c is positive.\nAnswer: c**(5313\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -2*a + 116, 114 = 3*j - 4*a - 204. Suppose -j = -7*r + 2*r. Is 11 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1677 is divided by 105.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 563.\nAnswer: -563","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q*(q\/(q**(-1\/7)*q*q))\/q)*q**8\/q*q)\/(q*q\/((q*q**0)\/q))**(-18))**(-5\/7) assuming q is positive.\nAnswer: q**(-1640\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 15 = y. Let v = 20.17 + -19.77. What is the nearest to -0.1 in v, 11, y?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -591814*n + 197273*n - 232 + 197270*n + 197274*n.\nAnswer: 3*n - 232","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23678701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 157 in 2\/13, 1\/2, 1\/4, 0, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 y when four letters picked without replacement from {c: 9, y: 9}.\nAnswer: 36\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 25*i**3 - 4*i**2 + 3*i + 2. Let z be (-32)\/(-14) + -6*(-4)\/(-84). What are the prime factors of b(z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - 16 - (0 + -1)*1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - d - 492, -444 = -u + 62*d - 67*d. Let v = -79 + 133. Calculate the remainder when u is divided by v.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 70 in 17, -0.5, 195, -5, 2?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/3)*j\/(j\/j**8))**(2\/79))**(1\/28) assuming j is positive.\nAnswer: j**(11\/1659)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3615915 is divided by 1034.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o*o**(1\/7)*o)\/o))\/o*o*o*o**(2\/13))**(-24)*((o\/(o\/((o\/(o**1*o))\/o*o*o)))\/o*o)**(-34\/3)*o**(-2\/11)\/(o**(-1\/7)*o) assuming o is positive.\nAnswer: o**(-25328\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(891) + 1 - (sqrt(891) + 0)*3 - (2*sqrt(891)*6 + (sqrt(891) + sqrt(891) + 0)*1))**2.\nAnswer: -288*sqrt(11) + 228097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1202, 4776, 10720, 19034, 29718, 42772, 58196?\n\"Answer: 1185*m**2 + 19*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/(sqrt(5) - (sqrt(160)\/sqrt(8))\/sqrt(4) - sqrt(5)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(-132))\/((-4)\/(-24)*-4).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + (sqrt(12)\/sqrt(64) + sqrt(15)\/(4*sqrt(5)) + -2 + sqrt(432) + 0 + sqrt(432) + 4)**2).\nAnswer: -36035\/4 - 490*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 5*n**3 + n - 1. Let r be s(1). Let p be (-170)\/(-14) - (-3)\/(-21). Suppose 0 = 4*h - 4 - 12. Solve -h*m = 5*y - p, -m - r*y = -4*m - 26 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -21.9 (b) -352 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15089 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 423893 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 112 = -488. Suppose -4*m - 10 + 98 = 0. Let o = h - m. List the prime factors of o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2\/4 - 147*d + 297.\nAnswer: -3*(d - 2)*(d + 198)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6529863947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 3*w - 19. Let s(o) = 5*o**2 - 16*o - 96. Calculate 11*q(n) - 2*s(n).\nAnswer: n**2 - n - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.3, -2\/3, 77, -6\/8513 in descending order.\nAnswer: 77, -6\/8513, -0.3, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.697 - -0.003. Let v = -4.5 - -18. Let o = h + v. What is o rounded to zero dps?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: 1 times -1033\nAnswer: -1033","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**2 - 344*v - 4515. Calculate z(-156).\nAnswer: 477","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d + 2 - 2 + 14*d + 18*d - 35*d + (-2 + 2*d + 2)*(-1 + 2 + 0) - 2*d - 3 + 3.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1828*j - 68607 - 4719 = 32698 for j.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from thtqhhttqhihhthihhq. What is prob of picking 2 q and 1 h?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 + -74 - (2 - -7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/5*(-25)\/(-5). Suppose -m*b = -24 + 8. Suppose b*y + f = 365, 351 = 3*y + f + 78. Is 19 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78, -19, -63216.\nAnswer: -63216, -19, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -119056 (base 10) to base 5.\nAnswer: -12302211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**3\/3 - w**2 - 15*w. Differentiate m(t) wrt t.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, u: 1, d: 2, b: 1}. What is prob of sequence ad?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-55)*(-70)\/(-14)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -v - 0*v + 1, 0 = 5*d - v + 9. Let r be d + 3 - (5 - 64). Let q = 304\/5 - r. Which is greater: 3 or q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + sqrt(171) + -3*-4*sqrt(171) + sqrt(171) + sqrt(171))\/(1*sqrt(63)\/sqrt(7))*-1.\nAnswer: -16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/6)\/(83*19\/156123).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70879 - 2177 = 485*l + 5167 for l.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/20997772 and 27\/27164?\nAnswer: 20997772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/15566 and -75\/11127518.\nAnswer: 478483274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -7*s**2 + 4*s + 8. Let v(m) = -20*m**2 + 11*m + 23. Let f = 1552 - 1548. Give f*v(p) - 11*t(p).\nAnswer: -3*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and -1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 5*h - 5163, 3*i + h - 3141 = 734. Is i a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 3*q - 10. Let x be o(-2). Suppose 2*d + d - 7 = -2*m, 2*d - 34 = -5*m. Put -2, m, x in descending order.\nAnswer: m, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 3:05 PM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 3 = 3*l, -3*l + 4*l - 2*q - 1 = 0. Let p be l - 3 - 2\/(-1). Let w(x) = x**3 + 3*x**2 - 5*x. Give w(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**5)\/x)**(1\/28)\/(x**(-3))**(-5) assuming x is positive.\nAnswer: x**(-425\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - a**2 + a + 2. Let h(p) = 684*p**4 - 6*p**3 - 1145*p**2 - 6*p - 12. Let l(q) = 2*h(q) + 12*z(q). Find the third derivative of l(v) wrt v.\nAnswer: 32832*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -43742*a**4*k**2 - 24*a**2*k**2 + 2*a*k**2 - 8385*k**2 - 2*k - 36 wrt a?\nAnswer: -524904*a**2*k**2 - 48*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.2 + -0.2. Let l = 132 + -133.38. Let p = l + 6.38. Which is the second biggest value? (a) -8 (b) p (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94026?\nAnswer: 2, 3, 15671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/4 (b) 0.1344664 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4927.05mm to kilometers.\nAnswer: 0.00492705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 a when four letters picked without replacement from {h: 1, a: 7}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*-1 + 0 - -2. Suppose 0*k = 4*k + 92. Let t = k - -33. Solve -4*p - 26 + t = o for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1196431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31752, -63500, -95248?\nAnswer: -126996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 8*l**2. Let x(y) be the first derivative of -4 + 0*y - 1\/2*y**2. Calculate i(x(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 8*p**2 + 8*p + 14. Let m be u(-6). Suppose -125428 = -m*v + 105574. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -112 = -136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from pdsssddssddddsddd.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(1539) + sqrt(1539))*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 6 = 3*s + 15, -2*s + 5 = g. Which is the nearest to s? (a) -4 (b) 1\/4 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/66 and 5\/99?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -f**4\/8 - f**3\/3 + 19*f**2. Determine c(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*r + 0 = 1, s - 1 = -5*r. Suppose 3*i = 4*g - 1, -5 + s = 4*g - 4*i. Suppose -q = -g*q + q. Which is the nearest to q? (a) 4 (b) 3\/4 (c) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-20))\/((-4)\/15)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -293 + 414. Let n = y + -121.001874. What is n rounded to four dps?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3245 times 1?\nAnswer: -0.3245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10\/13? (a) 0.05 (b) -97 (c) -4 (d) -2\/7 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/6 - 1) + 21\/((-504)\/(-48))\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 642031.\nAnswer: 13, 29, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12649417 + -12649412.6000232. Let r = a - 4.4. Round r to six decimal places.\nAnswer: -0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/5*s**3 + 0*s**2 + 6\/5*s + 4\/5 = 0 for s.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -104 - -127.6. Let f = 23.59823 - a. What is f rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 8:51 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 6:15 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 7) to base 12.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55533, -222024, -499515, -888012, -1387521?\nAnswer: -1998048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -12091, -12097, -12107, -12121, -12139, -12161?\n\"Answer: -2*w**2 - 12089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-14)*(-56)\/(-16).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -203606*l**2 + 47*l + 3924 wrt l?\nAnswer: -407212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1114, 9, 5, -55, 4 in ascending order.\nAnswer: -55, 1, 4, 5, 9, 1114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 222253941 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14\/3? (a) -0.4 (b) -37 (c) 116\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a milligram in micrograms?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 3*k - 1. Let s be r(4). Let y = 8 + s. What is the greatest common factor of y and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uo when two letters picked without replacement from uuuuuouuuuuuuuu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2*4\/(-24))\/(-1))\/(26\/78).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-20))\/((-4)\/150)*(-7244)\/(-425585).\nAnswer: 3\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -446861040*-2.\nAnswer: 893722080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -39.6293 * 0.06\nAnswer: -2.377758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 804856546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -58.4 + -4.\nAnswer: -62.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**6\/15 + 3*l**5\/10 + 99*l. Suppose n(j) = 0. Calculate j.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (39\/(4212\/(-27)))\/((-1)\/5).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*1\/(-12))\/((-44)\/(-33)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 54299638?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 7:25 AM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/10? (a) -0.0122 (b) -5 (c) -2\/7 (d) -3 (e) -11\/85 (f) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppkkwpkppklkpplppk. What is prob of picking 3 p?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -7*p**2 - 10130*p + 102052. What is s(10)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00060401886 rounded to 4 dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08965 - -1272389.\nAnswer: 1272388.91035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15789645 and 10170.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35204 is divided by 11723.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -683*g**2 - 737*g**2 + 413*g**2 + 153*g**2 - 592*g**2.\nAnswer: -1446*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/1)\/(61\/(-610))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3144350 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -768 by 12.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*t = 6*k - 19, 2 = 2*k + 4*t. Suppose y + 5 = 0, -k + 0 = -2*g + 3*y. Which is smaller: -2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 355*i - 14232. What is t(40)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 8 + 4*c + c + 4*c - 11*c. Let x be z(5). What is the second biggest value in x, 0, 23?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 7) + 8 - (1 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*s + 41731 - 41731.\nAnswer: -23*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(275)*1 + sqrt(275))*-1)**2 + (sqrt(275) + 0 + sqrt(275))*4.\nAnswer: 40*sqrt(11) + 1104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -5*f + 17, -3*f = 4*i - f + 6. Let g be (i\/(-8))\/(2\/8). Suppose g + 4 = 2*b. Solve -m = b*m + 16 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 60 + 25 = 0. Suppose -3*a - 5*d = 20, -3 = 3*a + 2*d + v. Solve a = 3*h - 5*b - 6 + 40, 0 = -5*h - 3*b for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 10, 0*c = -2*c + 3*j + 26419. Let n be c\/(-98) + (-2)\/7. Round n to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*b + 658 - 82. Let f = 23 + -13. What is the remainder when b is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2 - y - 1. Let d(p) = -p**2 + p + 1. Let u be (-5)\/(-3)*(-5 - -8). Suppose -5*t - u = -0*t. What is t*s(j) - d(j)?\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -8, 7, -4, -121, 4 in descending order.\nAnswer: 7, 4, -2, -4, -8, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 1:26 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2125257*u**5 + 32*u**4 + u**3 + 6640*u**2 - 3*u + 813.\nAnswer: -127515420*u**2 + 768*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*y**2 + 264471*y + 70670033 with respect to y.\nAnswer: 18*y + 264471","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4767229?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 + -30. Let w be c\/(-6) - (-52)\/12. What is the greatest common factor of w and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 151 = -5*k. Suppose k = -5*c - 156. Let d be c*(0 + (-5)\/(-10)). Which is smaller: d or -18?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4*(sqrt(1568) + sqrt(1568) + -1*sqrt(1568) + sqrt(1568)))**2 + -4 + -5.\nAnswer: 100347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 5*i + 9. Let a(q) = 119*q + 217. Let o(l) = -2*a(l) + 49*n(l). What is the first derivative of o(g) wrt g?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4*u + a = 278995, 2*u = -5*a + 185988. Let r be 2\/(-2) + u + 2. What is r rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30269 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*o + 34*o - 164*o + 42*o + 48*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 87 - 91. Let v(p) = -p + 1. Let h(u) = 4*u - 2. Determine k*v(q) - 2*h(q).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m\/((m**(2\/3)*m)\/m))*m)\/m*m*m*m**(3\/19) assuming m is positive.\nAnswer: m**(104\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 516*v**2 - 4529*v - 328. What is q(9)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o + 21 + 3*o**2 + 16 - 30.\nAnswer: 3*o**2 - 7*o + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 7:06 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1101955 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -8*v. Let b(j) = -j + 11. Let w be b(v). What is the greatest common factor of 77 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pxpp when four letters picked without replacement from {u: 4, p: 4, m: 1, x: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by -1297.\nAnswer: -11\/1297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55866 is divided by 1436?\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3217010)\/(-1970)*(-8)\/92.\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -61*n - 8701. What is k(-156)?\nAnswer: 815","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 734594 at most as big as 734561?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2289 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yaaysasasaas. What is prob of picking 4 s?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - 1 - (-34 - (3 + 1)). Let i = g + -33. Find the second derivative of 157*h**4 - 139*h**i - 3*h + 14*h wrt h.\nAnswer: 216*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -58\/6005 or -1?\nAnswer: -58\/6005","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*y + 3*y + 0*y)*(-8 + 13 - 3*y**2 - 7)*(0*y + y + 2*y) as u*y**2 + b*y + x*y**4 + n + h*y**3 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 2:14 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**19))\/o**(-3\/2) assuming o is positive.\nAnswer: o**(-35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8899 take away -0.5?\nAnswer: 8899.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4\/3 - 760*p**3\/3 - 31744*p**2 - 3801088*p\/3 + 16777216\/3.\nAnswer: -2*(p - 4)*(p + 128)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 13 - 69134d?\nAnswer: -69133a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -23 - (-30 + -38 - -47)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001524303 rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 622918.8086 rounded to the nearest 100?\nAnswer: 622900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, 2.1, 7?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/(-36))\/(1\/9). Suppose 0 = -4*a + 5*v + 20, 6*a - j*a = 2*v + 15. Let u(x) = -4 - a*x - 10 + 5*x - x. Calculate u(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -23 + 12ba44?\nAnswer: 12ba21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvisv. What is prob of sequence sh?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 4 (b) 0 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.13 + 8.13. Let a = y - 9. Suppose -s + 88 = 5*m + 107, -3*s - 71 = m. Put a, 0.1, s in descending order.\nAnswer: 0.1, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -1 (b) -0.1 (c) -3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 163 = -499. Let b = -19 + 52. Let z = s - b. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 113 - 99. Calculate the highest common factor of a and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*a + 33 + a**3 - 81 + 4*a**4 + 22 + 25 in the form o*a**3 + w*a + c + h*a**4 + v*a**2 and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**5\/4 + 4*d**4 + 57*d**3\/4 = 0. Calculate d.\nAnswer: -3, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/10 - 48\/20. What are the prime factors of 4\/6 - 19\/p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*s - 29*s = 2*z + 105, z = -s - 3*s + 97 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 323 divide 299074744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1868 + -1980 + (0 - -7)?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1944936499 and 0.2?\nAnswer: 1944936499.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -127, -100, -73, -46, -19?\n\"Answer: 27*p - 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 2*n + 86, 2*t + 0*t + 5*n = -176. Find the common denominator of 10\/25 - t\/(-40) and 21\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-14 - 0\/(-3))\/(-1). Let p(v) = v**2 + 4*v + 10. Is p(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 4*a + 100, -5*a = 4*k - 3*a - 200. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -78*o + 2868. Give f(11).\nAnswer: 2010","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -23*z + 25 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.079 - -0.021. Which is the third smallest value? (a) -5 (b) 3 (c) v (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 7*h - 2*a - 20, -14 = -3*h + a. Suppose 16 = -h*d + 12. Let z be d\/(-9 + 4 - -6). Is -3\/104 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 25*g**2 + 14*g + 9. Calculate x(5).\nAnswer: 704","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -125*h + 4. Let b(z) = -127*z + 3. Give -5*b(q) + 4*f(q).\nAnswer: 135*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (9*(-170)\/(-5508))\/(40\/36)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5120, -5540, -5960, -6380, -6800?\n\"Answer: -420*s - 4700","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/11, -1\/5, 0.9, 3 in ascending order.\nAnswer: -1\/5, 1\/11, 0.9, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 21 = 4*u, 5*u - 4*u - 2*y = -2. Let h be 10\/u*(-1)\/(-30). Let b = 149\/60 + h. Which is smaller: 1 or b?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 516 - 516 + 114*t - 378*t to the form h + d*t and give d.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1866494?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 550.8+-0.117289317\nAnswer: 550.682710683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1208, 529, -602, -2185, -4220?\n\"Answer: -226*u**2 - u + 1435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 17*g**2 - 20*g + 13. Let t = 78 + -94. Let k be i(t). Calculate the highest common factor of k and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 + 60. Suppose 4*q - 5*x = -9 + 102, q - 3*x - l = 0. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 807277, 807253, 807229, 807205?\nAnswer: 807181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-130)\/4*2458\/(-15977). Let v be ((-1)\/1)\/((-1)\/3). Solve l*f + v*t = 0, 2*t = -4*f - 2*t for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 109*y**2 + 2*y - 16802. Let c(p) = -2*p. Determine c(a(r)).\nAnswer: -218*r**2 - 4*r + 33604","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2624976 is divided by 119316?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 13, -122, 0?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, -5, 0.3, 6\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 + (9 - 10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 577 - 576. Is -129 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52 + 51. Let z = -1.2 - g. What is the biggest value in -0.095, 5, z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 130311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 2 + 32 = 6*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -928*x - 4*x**2 + 928*x.\nAnswer: -4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q - 5*q + 5*q + 1. Let o be k(0). Calculate the greatest common factor of o and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13766, -14922, -16078?\nAnswer: -17234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1551 by -3.\nAnswer: -517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 7*i - 13. Determine d(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.3, -2, -160, 64856\/3 in decreasing order.\nAnswer: 64856\/3, 0.3, -1, -2, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {n: 5, r: 8, m: 7}?\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78, -331, -756, -1209, -1702, -2247, -2856?\nAnswer: -3541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-68)\/(-12) + -5)*(2 - -7). Is (68\/20 + -7)\/(p\/(-160)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 7) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, z: 7, v: 1}. What is prob of sequence sv?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of 1\/3*k**4 + 2*k - 1\/6*k**3 + 119\/2*k**2 + 65. What is the derivative of j(q) wrt q?\nAnswer: 8*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o + 1. Let i(t) = -11*t + 399. What is 2*i(c) - 6*y(c)?\nAnswer: 2*c + 792","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -181269, -181142, -181015, -180888?\n\"Answer: 127*y - 181396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -t + 30. Let o = t + -7. Suppose 12 = 4*f, 0*v = v + 2*f - 39. Calculate the greatest common factor of v and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + -1 - (106 - 94).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/13, 3\/5, -57, 4, -4?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(1\/4)*s)**(-13))**(-14)\/(((s**1\/s)\/(s*s**5))\/(s\/((s\/(s**(2\/25)\/s))\/s*s)*s**(-1)*s)) assuming s is positive.\nAnswer: s**(11629\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 870\/27 + (-11)\/(198\/4) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3 + 79*d**2 - 1 - 22*d**2 - 160*d**3 + 46*d**2 + 15*d**2 wrt d?\nAnswer: -960","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 11:14 AM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = w - 8. Let y = -15 - -55. Let n = y - 17. Calculate the remainder when n is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/3 + 121\/33. Solve 0 = -c*d + 11*d - 24 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-6) + 200\/15. Let k(y) = y**2 - 9*y - 48. Let v be k(a). Solve -f - v = -9 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 6*z + 175. Let w = -3005 - -9121\/3. Let o = z + w. Is o < 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -7 (b) 0.5 (c) -46 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o + 8*o + 4*o**3 - o**3 in the form f + c*o**2 + z*o**3 + k*o and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 30\/3 + -2. Solve -y*q = -2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1613 or -2\/7?\nAnswer: -0.1613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(-4)\/((-8)\/1382). Suppose -2*k = 113 - q. List the prime factors of k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -490 or -6363\/13?\nAnswer: -6363\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 309 divided by 3\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 405701041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -488 - -472. What is the remainder when 59 is divided by (z\/(-5))\/(1\/15)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55671 is divided by 55543?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11506603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 divided by 10?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4276 + 4284. What is the highest common divisor of 262 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34836 and 917348.\nAnswer: 2752044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -50840 and -141?\nAnswer: 7168440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40425234 is divided by 40425220?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 2*w**3\/3 + 15*w**2 + 2*w - 2016. Determine n(5).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - 0 - 7\/(-1). Suppose 4*z - m = 3. Which is the smallest value? (a) 3 (b) z (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1047866225?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v + 3498 = 15*v. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -m - 2*m. List the prime factors of (735\/10)\/((-3)\/m).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 956189456*s + 387990373.\nAnswer: 956189456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a hour?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.84 - -4.84. Let u be (2 - -1)*(-2)\/(-201). Let s = u + 595\/268. Which is the biggest value? (a) v (b) -0.2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 445186 (base 10) to base 2.\nAnswer: 1101100101100000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 943800 divided by -6292?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g = 2*g + 4*p, g + 2*p - 6 = 0. Suppose s - 11 = -0*s + g*d, 5*s = -d. Is 14 a factor of (30\/(-4))\/(s - (-115)\/(-100))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11374*g**2 + 2*g**3 - 11374*g**2 - 11368*g**2 + 34116*g**2.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1212\/35 + 192\/7. Find the common denominator of 59\/6 and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -10, 276, -18, 2.\nAnswer: -30, -18, -10, 2, 276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-10))\/(((-234)\/(-10))\/(-13))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 10. Let o = 0 - q. Suppose -2*u - o*u - l + 116 = 0, -8 = 2*l. Calculate the greatest common divisor of 16 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 55\/4 of a century?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -17*g**3\/6 - 11*g**2\/2 + 4*g. Let p(o) be the third derivative of o**4\/4 + 2*o**3\/3 - o**2. Give 4*h(n) + 11*p(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3b7 - -87?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/5 - (-12)\/(-30). Solve w = 3*x - 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7855a2 (base 13) in base 6?\nAnswer: 140505501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3157 a factor of 306478403?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/75)\/d)\/(d*(d\/d**(-1\/12))\/d)*(d*d**(2\/37)\/d)\/(d**(2\/47)*d) assuming d is positive.\nAnswer: d**(-538829\/173900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 100442?\nAnswer: 100442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 881 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -462 < -462?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(-10)*h))\/h**0*h**(-15\/8)*(h**(-14\/3)*h*h)\/h assuming h is positive.\nAnswer: h**(107\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, e: 4, k: 5, q: 1, v: 5}. Give prob of picking 1 e and 1 q.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3711026\/615 - 36205\/6. Which is bigger: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 2*a - 5. Let i be z(4). What is the third derivative of f**2 + 12*f**3 - 12*f**i - 3*f**2 - 4*f**5 wrt f?\nAnswer: -240*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 74\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 3648?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x - 6. Let w be q(5). Suppose -4*t + 13 = 5*r + w, -4*r + 2 = -2*t. Is ((-35)\/4)\/(r\/(-4)) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - (-2)\/2) + -3. Suppose -p + 51 + 67 = 5*k, k - 17 = y*p. Let o = k + -14. Calculate the remainder when o is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 5*p**4 + 30*p**3 + 45*p**2 + 20*p = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -56*v**4 + 56*v**4 + 14*v**5 + (v**2 - v**2 + v**2)*(v**3 + 3*v**3 - 3*v**3).\nAnswer: 15*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d2cc852 + -5?\nAnswer: -1d2cc857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33096.88 decades to months.\nAnswer: 3971625.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5789743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*b**2 + 5 + 7*b**4 - 22*b**4 + 2*b**4 + 4*b**4 - 11*b + 8*b**4 to the form n*b**3 + v*b**2 + d*b + a + q*b**4 and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 1 + -6 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of a**3\/6 + 19*a**2\/2 - 28*a. Let u be 84\/(-630) + (-4)\/(-30). What is z(u)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 306*r**2 + 14*r + 341*r**4 + 7*r**4 - 14*r wrt r.\nAnswer: 8352*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from niniqnnqhqnhhhn. Give prob of picking 1 i and 2 h.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1197 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 14*w = -78, 5*h - 1317*w + 114 = -1315*w for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.08 + 3.92. What is the nearest to 3 in 1\/8, -1\/4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*m - 50 + 100 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0)**(-13\/7))**(-1\/65) assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.290692 rounded to 3 dps?\nAnswer: -0.291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7191104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence my when two letters picked without replacement from ryamrmyyaay.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99 - 42 + 79 + 5*m - 139*m.\nAnswer: -134*m + 136","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 5*s = 3*b - 102, -2*s - 215 + 341 = 4*b for b.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 2*n = -17, 2*n = -3*j - j - 18 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67750?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -59108 divided by -2?\nAnswer: 29554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3109043 (b) -6 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 2*b**2 - 5*b - 1. What is f(-5)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(1*sqrt(4))*-6.\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 615663*m**5 - 2*m**3 + m**2 + 264*m + 843?\nAnswer: 36939780*m**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3144 and 809.\nAnswer: 2543496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 2126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 36*v - 82. Let d be (-1)\/(637\/161 + -4). List the prime factors of w(d).\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -1509.\nAnswer: 7545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32638 is divided by 884 - 864 - 1*(0 + 5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10005 - 10004. Let y = -9 - -12. What is the smallest value in l, -33, y, 0?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49 and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -b15c (base 13) to base 7\nAnswer: -131114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 579278 and 125930.\nAnswer: 2896390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (3\/(-6) - -3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -9. Let t(i) = i**3 + 5*i**2 - 7*i - 7. Suppose 76*x - 33 - 423 = 0. Let f(r) = -r**3 - 6*r**2 + 8*r + 8. Give o*f(v) + x*t(v).\nAnswer: v**3 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 1 = x. Let f(g) = 7*g**3 + g**2 - 13*g + 8. Let v(u) = u**3 + u**2 - u. Let w(t) = x*f(t) - 6*v(t). Give w(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11022210 - -20?\nAnswer: -11022120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 1 - 1) + -11 + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -73, -49, -11, 47, 131, 247, 401, 599?\n\"Answer: f**3 + f**2 + 14*f - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25 - -30. Which is the second smallest value? (a) -8 (b) z (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3112 + 11?\nAnswer: -3101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-4)*8\/(-130). Let k = 985.26 + -985. Which is the third biggest value? (a) k (b) q (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -66, 1\/15, 1\/5, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w - 6. Give g(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 19. Let s be (-15)\/6*q\/(-15). Solve -g = 3*w + 2 - 3, -2*g + s = 5*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 3*u + c - 87, 0 = -u + 2*c + 13. Suppose -5*t + 37 = 2*i - i, 4*i - 125 = 3*t. What is the remainder when i is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*y - 30*y - 24*y + 4*y as f*y + z and give f.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -677\/9 - -75. Let o = 381 - -258. Let a = o + -611. Which is smaller: g or a?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.8715 * -15\nAnswer: -73.0725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, f: 10, n: 4}. What is prob of sequence ntnt?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -158 - 192*f**3 + 79 + 79 + (3 - 2 - 2)*(-f**3 + 0 + 0).\nAnswer: -191*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.2 - -6.2. Let c = -142.174 + 1.574. Let f = c + 141. Put 4\/9, 0, f, m in decreasing order.\nAnswer: m, 4\/9, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t = -23*t - 10. Let n be (-2)\/t - (-16)\/(-20)*-1. What is the nearest to n in -0.1, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.8 times 13485\nAnswer: -24273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-24\/5)*(p*p**(12\/11))\/p)**(15\/7) assuming p is positive.\nAnswer: p**(-447\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(360)*-2)\/sqrt(12))\/(1*sqrt(10)*3) + 0 + 4 + sqrt(432)*2*-4)**2.\nAnswer: -2320*sqrt(3)\/3 + 84148\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4*y - 4*a + 4, a + 21 = 3*y. Suppose y*g = 15 - 71. Let i be -46*(35\/10)\/g. Calculate the greatest common divisor of 23 and i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6924 - -6928. Let j(f) be the second derivative of 12*f - 1\/18*f**r + 0 - 16\/3*f**2 + 8\/9*f**3. Suppose j(p) = 0. What is p?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17244173 to the nearest integer?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10 - -21208b?\nAnswer: 21209b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 397663 (base 16) in base 12?\nAnswer: 1317397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-2) + 2 + (676320\/(-1245))\/32.\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + -262217?\nAnswer: -262210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1086*q**3 - 713*q**3 - 773*q**3 - 1393*q**3 + 419*q**3.\nAnswer: -3546*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 718*4579\nAnswer: 3287722","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 12*f**2 - 22*f + 14. Let q be t(9). Suppose q*x = 60*x - 2. Solve -5*z + p = 3*p - 16, -x*z - 3*p + 2 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*sqrt(243) + sqrt(243)) + -3.\nAnswer: -27*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 0.026424418145234.\nAnswer: -4.026424418145234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 104923611 to the power of 1\/2, to the nearest integer?\nAnswer: 10243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 244 = 8*o + 12*o, 8*o + 0*o = 7*o - 3*p for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 7*l - 13 + 2*l - 2*l. Let x be t(9). Let b be 5\/35 + 76\/(-42). Put b, -0.4, x in descending order.\nAnswer: x, -0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of 0*p**2 + 1\/12*p**4 + p + 0 + 0*p**3. Let t(o) = -2*o - 2*o - 3*o + 5*o. Give t(s(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 + 188. Let d = f - 168. Calculate the remainder when d is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 65 - 2*u - 6*u + 8*u - u in the form p + m*u and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40134355 to the nearest integer?\nAnswer: 6335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3810 or 49542\/13?\nAnswer: 3810","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12.1 or 1\/92?\nAnswer: 1\/92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -97888447*h**3 - 5188*h**2 - 3340*h + 1 wrt h.\nAnswer: -587330682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 47 or 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 6*f**2 + 11*f - 6. Let m be r(4). Let o be 2 + m*(-6)\/9. Let j = o - -2. Solve -5*c - 28 = -5*u - 2*c, -3*u - 5*c + 10 = j for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.903544771 to zero dps.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 3:43 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/61, 5\/4, 0.4, 1\/5, -0.5 in descending order.\nAnswer: 5\/4, 0.4, 1\/5, -1\/61, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 12*k**2 - 3*k - 2. Let f be s(-1). Let r be 5*(-2 + f\/5). Suppose 15 - 21 = -5*x - 4*v, -5*x + 2*v + 12 = 0. Solve -2*g + r*g + x = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -91 - -87.2. Let g = 5.7 - 5. Let b = f - g. Round b to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 6 = -3*z - 3, 4*v = -z. Suppose j - v = -t - 2*t, -t = 2. Which is greater: j or 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*k + 33 + 27 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30678 divided by 30678?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -517*l**2 + 147*l**2 - 379*l - 134*l**2 - 387*l**2 - 27*l**2 wrt l.\nAnswer: -1836","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 5*s + 11. What is the tens digit of c(13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*z - 4*f = -28, 1991 - 1996 = -4*z - 3*f for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**19\/v)\/v**20*(v*v*v**(-13)*v)\/((v**(-3\/5)*v)\/v) assuming v is positive.\nAnswer: v**(-57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-4*(sqrt(320) + 2) + 0.\nAnswer: 24 + 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*5*sqrt(416)*4)\/(2*sqrt(288)*-1*5).\nAnswer: -10*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -12*m**2 - 469*m - 53. Determine u(-39).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8715.066ms to minutes.\nAnswer: 0.1452511","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**2 - 2*b. Let s(h) = 5*h**2 - 2*h + 1. Let i be (8\/(-14))\/((-2)\/14). Let t(l) = i*s(l) - 7*r(l). Determine t(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 639.8427 * 3.\nAnswer: 1919.5281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(3\/(-2))*-6. Let g(d) = 8 - l - 4 + 2*d. Let c(f) = -f + 1. Let a(r) = 40*r - 30. Let k(b) = -a(b) - 30*c(b). Calculate k(g(t)).\nAnswer: -20*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 10, d: 2}. Give prob of sequence adaa.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5433, -8814, -14449, -22338?\nAnswer: -32481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47314?\nAnswer: 2, 41, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 2 + 7 + 3 + 17 + -14?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12918*b**2 + 6739*b**2 + 6195*b**2.\nAnswer: 16*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -26, -31, -46, -77, -130, -211?\n\"Answer: -u**3 + u**2 - u - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 869, 1, 2978, -1\/3, -3, 2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11187408343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 6*n + 44 = 0, 0 = -3*t + 2*t - 5*t - 4*n + 44 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 107 and 43763?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189\/(-270)*(-8)\/28.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + 4*j**2 - 4*j + 4. Let v be q(3). Suppose 0 = 2*w - 1 - v. Solve -2*r + 4 + w = -x, -3*x - 4*r + 35 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48.7 - -6.7. Let c = x + 42.038. Let s = c - 0.122. What is s rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvyvvyvy. What is prob of picking 2 y?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*t - 23*t - y + 83 = 0, t - 5*y = 26. Calculate the remainder when 732 is divided by t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(43*i**3 + 8*i**3 - 10*i**3).\nAnswer: -82*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 6*s**2 + 2. Let b(d) = 4*d - 11. Let a be b(4). Suppose -5*g = -a, c - 4*g = -0*c - 10. Give j(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20651127 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*d + 43*d = -5*q - 4, 4*d - 4 = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -1\/14 (c) -0.2 (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzvzzzzv. Give prob of sequence vzzz.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of w**3 + 172*w**2 - 284 wrt w.\nAnswer: 3*w**2 + 344*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 3*x + 26, -22*b = -25*b - x + 24. Solve 0 = -2*d - b*d + 9 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - j**2 + j - 2*j**2 - 1 + 1 + (3 - j - 3)*(-j + j - j) + 4*j**2 + 2 - 2 + 256*j - 256*j + 110*j**2)*(11*j - 14*j + 5*j + 6).\nAnswer: 224*j**3 + 672*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 4*a**2. Let z(h) = -325*h. Determine v(z(k)).\nAnswer: 422500*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14683 = 164*l - 480*l + 7753 for l.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 18*s**2 - 21*s - 24. Suppose -2*r + 10 = -42. Let f = -45 + r. Calculate the remainder when t(f) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/23, 0.5, -0.5, 4, -0.02?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 - -1 - (-2 + 0). Suppose -3*j - p*s + 4991 = -0*s, -4989 = -3*j - 3*s. Calculate the lowest common multiple of ((-2)\/5)\/((-9)\/j) and 6.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 - -7c4?\nAnswer: 7b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5118292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -120994, -120995, -120996, -120997, -120998?\n\"Answer: -i - 120993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 6*p**2 - 10*p - 5. Let x be r(-6). Solve 10*z + x = -z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22369.8 + 22370. What is the second biggest value in 3, a, 0.3, 25\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 9*d + 162. Calculate the least common multiple of 8 and d.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 13*i**2. Let g(o) = 462090*o. What is g(z(c))?\nAnswer: 6007170*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 e when two letters picked without replacement from geeavyl?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5150*o**2. Let g(l) = 2*l**2. Give z(g(b)).\nAnswer: 20600*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 51 - 50.99999884. Round p to 7 dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/18)\/((-2)\/33)*((-269584)\/203)\/332?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 337, -1, -4, 4 in increasing order.\nAnswer: -4, -1, 4, 337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 10:08 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**0*n**(2\/21))\/(n**0\/(n*n*(n\/(n*n**(-3\/11)))\/n)))\/((n**(2\/9)*n)**5*n**(-4\/3)*n*n**(-3\/8)) assuming n is positive.\nAnswer: n**(-22369\/5544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16481 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213136867?\nAnswer: 61, 1229, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -14910, 856, -1 in ascending order.\nAnswer: -14910, -1, 856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 284422 divided by -21\nAnswer: -284422\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 256805000 to the power of 1\/2, to the nearest integer?\nAnswer: 16025","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3707250 and 3300?\nAnswer: 81559500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 276*o**2 - 426*o + 425*o + 10*o**2 + (-4*o + 6*o + 34 - 35)*(-3*o - o + 5*o).\nAnswer: 288*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -919149, -919148, -919147, -919146?\n\"Answer: i - 919150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7339 + -8016.1. Round l to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of p**6\/120 - 4*p**5\/15 - 5*p**4\/12 - 8*p**3\/3 + 72*p**2 - p + 3. Give r(16).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4*l - 3578132 = 0, 3*t + 2799*l - 2683641 = 2802*l. What is t rounded to the nearest 1000?\nAnswer: 895000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -5*j + 10, 7*v - 8 = 5*j + 11*v for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000741909 rounded to 6 decimal places?\nAnswer: -0.000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1701239167?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 130 + -1235?\nAnswer: -1105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**2 - 21*x - 16. Let y(p) = p**2 + 10*p + 8. Let s = -23 - -28. Let w(d) = s*y(d) + 2*f(d). What is the remainder when 45 is divided by w(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-5)*16\/176.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.055 and -658205226812?\nAnswer: 658205226812.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -293108a - 4?\nAnswer: -2931093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 120 + -3?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2002 + 1965 + (68 + 4 - -1).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27454 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/3)\/((-5368)\/1098).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bvlvobk. Give prob of sequence vlk.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2475 or -2477?\nAnswer: -2477","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -271140 divided by -1438\nAnswer: 135570\/719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (516\/(-5))\/(6\/(-15)). Suppose -11*x + 50 = -k. What is the lowest common multiple of 1 and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -103 + 619\/6. Let g = -61.9 + 62. Which is the third biggest value? (a) g (b) -5\/3 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 90*y + 1. Let i(j) = -2*j - 1. Let q be i(-3). Is w(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19777, -78983, -177599, -315607, -492989, -709727, -965803, -1261199?\nAnswer: -1595897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 24232 and 0.3.\nAnswer: 7269.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 466781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/216)\/(-5)*-6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 172 + -122. Let y = v + -55. Which is the third smallest value? (a) y (b) 3\/5 (c) 3\/2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 1. Let f(l) = 5*l**3 + 4*l**2 + 2*l + 4. Let n(z) = f(z) - 4*q(z). Let x(s) = 14*s + 25. Let h be x(-2). What is n(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 - 1154?\nAnswer: -1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 905393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*j**2 - 3*j**2 + 0*j**2 + (-2*j**2 + j**2 + 0*j**2)*(0 + 2 + 0) - 2*j**2 + 3 - 3.\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**0\/t*t*t))\/t*t**(-2)*((t\/((t*t**2)\/t))\/t*t)\/(t*t\/t**(2\/5)*t)*(t*t**2\/t*t*t*(t**(3\/7)*t)\/t)\/(t**(-2\/15)\/t**1) assuming t is positive.\nAnswer: t**(-109\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 0*d**4 + 0*d**3 + 0*d**5 + 0*d + 21*d**2 - 47 + 26\/3*d**6. What is the second derivative of c(w) wrt w?\nAnswer: 1040*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 430550076 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.0035, 2\/3, -0.12, -3\/98 in increasing order.\nAnswer: -2, -0.12, -3\/98, -0.0035, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-180))\/((-11)\/(33\/2)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -26*n - 1. Let l(y) = -12*y**2. Give g(l(j)).\nAnswer: 312*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 + 108\/(-8))*-2. Suppose 5*z - t = 29. Is 12 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -2*q**2\/3 + 536852*q\/3 = 0.\nAnswer: 0, 268426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 2*v**2 + v + 2. Let r(p) = p**3 - 4*p**2 - 5*p + 3. Let c be r(5). Suppose -17 = -4*s - 3*i, c*i + 1 = -5*s + 20. Determine u(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 95 (base 10) to base 3\nAnswer: 10112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 22407303 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -3. Suppose 3*w + o = 6, -5*o = -w - 3*w + u. What are the prime factors of (-1100)\/(-28) + w\/(-7)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + -2 + -2 + -1778 + 1840 - 1) + -5\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 71 + -139. Let b = i + 188. Calculate the greatest common factor of b and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/11, -2\/77, 1\/7, -3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3621 - 557 = 349*i - 1037 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 5*y**2 - 15. Let z be n(4). Let x(k) = -2. Let c(w) = 4*w - 4*w - w - 3 + 4. What is z*x(d) + 2*c(d)?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1051, 1423, 1885, 2437?\nAnswer: 3079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.57702453 rounded to 2 decimal places?\nAnswer: 0.58","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -9316 + 149127\/16. What is the common denominator of i and -75\/8?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*f**4\/7 - 166*f**3\/7 - 6*f**2.\nAnswer: 2*f**2*(f - 21)*(4*f + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 3*g**2 + 13*g + 5. Let h be j(-5). Suppose x - 19 = -5*r, -1 = -3*r + 3*x - 4. Suppose 4*o = -r + h. What is the greatest common divisor of o and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 4*v - 18. Calculate l(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -114994 to the nearest 1000.\nAnswer: -115000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3462 and 301326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + ((7 - (-1 - -6)) + 7 - -7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -108 - -116. Suppose 0 = -5*b - z*g + 5*g + 50, -2*g = -b - 3. Solve 3*q + b = 1 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1118 and 2021?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -7*i**3 - 11*i - 2. Let k(j) = 3*j**3 + 5*j + 1. Determine 5*k(o) + 2*r(o).\nAnswer: o**3 + 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(5\/((-25)\/1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-5508)\/(-714))\/((-207)\/(-644))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 times 361714?\nAnswer: 3978854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 3. Suppose 0 = 5*t + 5*h - 635, 5*t - 75 = l*h + 530. What are the prime factors of t\/9 - 2\/(-9)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4131 (base 6) to base 10.\nAnswer: 919","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 - -34. Let a(s) = 10 + 10 - 13*s - 3*s**2 + 4*s**2. Let u be a(11). Sort 3, u, j in descending order.\nAnswer: 3, j, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 - 40*i**2 - 99*i + 1. Let r be k(43). Which is bigger: 1289 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 88825\/1045*3\/30*-2.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*y + 0*y - 380237*y**2 + 379917*y**2 as a*y**2 + t*y + n and give a.\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 3 + (-11 - -16).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 6185471*o. Let f(m) = -2*m**2. What is f(g(x))?\nAnswer: -76520102983682*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*p - 55 = -72*p. Let z(q) = 46*q - 11. Let h be z(3). Let u = h + -96. What is the remainder when u is divided by p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/2)\/(13\/65).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1040 and 84520?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20044, 43673, 67300, 90925, 114548, 138169?\nAnswer: 161788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**3 - 2*w**2 - w. Let d be x(2). Let q be (2 + 15\/(-9))*d. Solve 0 = 5*h - 2*p - 0*p + 21, q*h = -3*p + 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*j - 22. Determine m, given that -10*m**3 - 8*m**3 + 12*m**3 - 15*m**j - 6*m**5 = 0.\nAnswer: -2, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 6*k**2 + 6*k + 6. Let q(o) = -o - 7. Let z be q(-13). Is t(z) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1531 - -424102?\nAnswer: 422241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 8*x**2 - 42*x - 67. Is l(9) a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1999 + -1253. What are the prime factors of u?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*5*sqrt(343))**2 + -1.\nAnswer: 308699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 3\/140*g**5 + 0*g**3 + 0*g + 1\/28*g**4 + 1\/280*g**6 - 5 - 1\/2*g**2. Let f(l) be the second derivative of p(l). Factor f(h).\nAnswer: 3*h*(h + 1)*(h + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.56423 * -2.3.\nAnswer: -1.297729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 30353490067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26999539?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*o**3 - 60*o**3 - 73*o**3.\nAnswer: -168*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110000 (base 2) in base 5?\nAnswer: -422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 117 (c) -4 (d) 0.02 (e) -0.4 (f) -584\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 divided by -1?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 2, 4, -119 in ascending order.\nAnswer: -119, 2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 16) in base 8?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 363 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -2*h + 5*v + 10, -38 = -2*h - 5*v. Is 65818\/(-8)*h\/(81\/(-36)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of f**4\/4 + 11*f**3\/6 + 14*f**2 - 8*f. What is the remainder when j(-9) is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.033 * -67.\nAnswer: 2.211","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8146939 + -11566939. What is d rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -304.63 + 303. Let z = -0.84 - q. Round z to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 72?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 258*k - 105050. What is x(407)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1998 + 3366 + 2008)*(-6*x**3 + 4*x**3 + 4*x**3).\nAnswer: 6752*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a + 4. Calculate m(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/6)\/((-9)\/30). Solve 0 = n*k - 3 - 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + sqrt(3) + sqrt(3)*2 + sqrt(3))**2 + -2 - ((2 + (sqrt(3) - (sqrt(6)\/sqrt(2) + 3 + sqrt(3))))*-5)**2.\nAnswer: -230 - 114*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53\/2 + 375\/14. What is the smallest value in 1\/5, l, 1\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97388041 to the power of 1\/4, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 511758 and 1202?\nAnswer: 307566558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.246 and -0.2.\nAnswer: 0.6492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -181 + 37. Let u = r - -39. List the prime factors of u.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 11. Let k = a - -10. Let l(n) = -n**2 + 8*n - 1. What are the prime factors of l(k)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37835529?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 122918834?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**3 + 8*q**2 + 5*q + 2. Let t(w) = -3*w**3 + 12*w**2 + 8*w + 3. Let k(f) = 7*d(f) - 5*t(f). Let h be k(5). Is h\/(-4) + (-102)\/(-8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 4:17 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-605)\/286)\/(-55))\/(189\/18 - 11)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 - (6 - (4 - -8)) - (-29 - -119)?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, o: 3, a: 3, p: 5, z: 3}. What is prob of picking 2 a and 1 v?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = o + 5*d + 68, -76 = -19631*o + 19627*o + 3*d for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 - ((-4 - -8) + -8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 4 (c) -1 (d) -377\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -18*p - 350. Let n be u(-20). Suppose -n*f + 12030 = 5*f. List the prime factors of f.\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2415 (base 6) in base 5?\nAnswer: 4322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 4 + 5)*(16*h**3 + 2*h - 19*h**3 + 32*h**3).\nAnswer: 290*h**3 + 20*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -52*l - 152. Let b be w(-3). Solve -2*s = -4*a - 12, 3*a - 8*a = b*s + 2 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000101 - -10011010?\nAnswer: 1010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 216278382 to the power of 1\/3, to the nearest integer?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**1))**14)**(-38)\/(t**(-12)*t*t**(-10))**(15\/8) assuming t is positive.\nAnswer: t**(4571\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -91.907, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1428*s + 693*s - 26 + 733*s.\nAnswer: -2*s - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, j: 2, q: 1, a: 1, c: 2, m: 1}. What is prob of sequence mc?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -790*q + 89275. Calculate h(113).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -442*u**2 + 295253*u + 2000. Determine x(668).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 96811*r - 96811*r - 244*r**2 + (4*r + 9 - 9)*(-114 + 3*r + 114) to v + w*r**2 + o*r and give w.\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + (-9)\/(-7) + (-2175)\/6902. Let g = 13373 + -2273371\/170. Let r = v + g. What is the second biggest value in -0.4, r, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-21)\/(-6) - 3)*0. Suppose -o - 3*o = -5*h - 70, -3*h + 3*o - 45 = v. Sort 4, h, -5 in descending order.\nAnswer: 4, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 627 and 8360.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 8*g = 2*u + 7, -2*g + u = -6. Suppose -41*r - g*r + 184 = 0. Solve -4*d - 5*i = -28, r*d - 3*i + 4 = -0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1514 times -0.03\nAnswer: 45.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62218?\nAnswer: 2, 13, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 3*n. Let c(i) be the second derivative of i**3\/2 + 3*i. Let y(k) = -2*c(k) + 3*p(k). Find the second derivative of y(z) wrt z.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -296 = -3*t - 5*m, 5*m - 20 = -0*m. Let w = t + -1010\/11. Let u = -10 + 13. What is the third smallest value in 1\/4, w, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 13*r**3 - 5 + 13*r**3 + 12*r**3 - 43*r**3 wrt r.\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -647705*l**3 + 1295398*l**3 - 1 + l - 647703*l**3 - l.\nAnswer: -10*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11242 - 7.28019363?\nAnswer: 11234.71980637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**5\/3 - 88*v**4\/3 - 484*v**3 - 10648*v**2\/3 - 29282*v\/3.\nAnswer: -2*v*(v + 11)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 2, a: 10}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 3) to base 15.\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 847917348?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, i: 8, r: 4, x: 2}. Give prob of picking 3 r and 1 i.\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*(((g*g*g**(-9)*g)\/g)\/g)\/g*g*g*g*g**11)**42 assuming g is positive.\nAnswer: g**294","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -10. Suppose 6 = v*t - 2*k - k, 0 = -5*t + 3*k + 10. Factor -4\/3 + 6*f**t + 14\/3*f.\nAnswer: 2*(f + 1)*(9*f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2 - 9*x + 0 + 1. Let h(c) = -c. Let p(g) = 6*h(g) - t(g). What are the prime factors of p(6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 4*g + 8. Let q be 36 + -1 + (-1 - 2). Suppose 28 = d + l, 0*l + 2*l - q = -d. Suppose -d*z = -22*z - 12. Give r(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -3*i**2 - 4*i**2 - i**3 + 2 + 4*i**2. Let s be d(-4). Is (-24)\/s - 1430\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 708835 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((5 + (sqrt(112) - ((sqrt(112) - (-1 + sqrt(112)))*1 - sqrt(112))))**2 - (sqrt(14)\/sqrt(50) + sqrt(1008) + -2)).\nAnswer: 259*sqrt(7)\/5 + 470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 194 - 194 - f. Let q(c) = 11*c**2. Let d(x) = 4*x**2. Let v(j) = -12*d(j) + 4*q(j). Calculate v(s(l)).\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -16330 (base 8) in base 9?\nAnswer: -11114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17210*s = -4134*s - 379204 for s.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 6:00 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oyuuyhhyo. Give prob of picking 1 o and 2 y.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 181*g - 182*g = -14, 2*t - 5*g - 8 = 0 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y**2. Let t(p) = -5*p**2. Calculate 2*m(k) + 3*t(k).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kaaz when four letters picked without replacement from zazkz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence km when two letters picked without replacement from {l: 2, h: 3, m: 2, k: 4}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12673?\nAnswer: 19, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - 11. Let u = 18 + k. Which is the third biggest value? (a) -1 (b) 1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**3\/9 + 430*c**2\/9 + 9362*c\/3 + 55738 = 0.\nAnswer: -93, -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - ((-35831)\/(-10))\/1. Let j be (-2)\/(-4) + 7181\/(-2). Let s = q - j. What is the common denominator of -101\/16 and s?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -711110 (base 8) to base 15.\nAnswer: -4953b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*sqrt(288))**2 + sqrt(288).\nAnswer: -6912 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h - 48. Let c be 1\/((-4)\/(-10) + 44\/(-100)). Let q be s(c). Solve q*z = 7*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((0 + sqrt(539) - sqrt(539))**2 - (sqrt(121) + sqrt(121) + (sqrt(121) - sqrt(121)*-1))\/sqrt(11)).\nAnswer: -16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 7*d**2 + 7*d - 3. Let l be t(-8). Suppose -l*f + f + 52 = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 234919967*q**2 - 7*q**3 - 234919967*q**2.\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -585*p - 3 = -584*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3064 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -103.3 * -638\nAnswer: 65905.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -m - 574, w - 5*m = -w - 377. Round w to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68439, -67617, -66799, -65985, -65175?\nAnswer: -64369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 0.71\nAnswer: 0.071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 8*j**2 + 3*j - 1. Let v(r) = r**2 + r. Calculate 5*v(g) - z(g).\nAnswer: -3*g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 498*l + 402*l - 167*l - 118*l.\nAnswer: 615*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-28)\/3 - (-1)\/3. Suppose -l + 8 = -s, 3*s + 2 = -4*l - 8. What are the prime factors of -10*(-2 + h\/s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 11 + 4 = 0, -w - 41 = -2*g. Suppose -5*l + 2*p = -9*l, 4*l = -4*p. Solve -v + 3*v + 4 = l, -4*v - g = 2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3 = o, -4*c + 9*c = 5*o - 30. Let v(f) = f + 13. Let g(i) = 5*i + 66. Let l(j) = 2*g(j) - 11*v(j). Let q be l(-11). Solve -m + q*m = -o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35*(6\/(-63))\/(102\/459).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from giggvrimmairagirmmrm. What is prob of picking 1 m, 1 g, 1 i, and 1 a?\nAnswer: 32\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 15*y**3 + 2*y**2 - 8*y + 41. What is the hundreds digit of d(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -202 - -240. Let s = k + -31. Solve -s*c + c + 30 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18739 is divided by 985.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11865328 is divided by 31896.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2. Let n(z) = -4 + 0*z**2 - 3 + 0*z**2 + 2*z**2. Give n(j(l)).\nAnswer: 2*l**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/353051 equal to -2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12204443*t**2 + 18696153 with respect to t.\nAnswer: -24408886*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 212 (base 3) to base 16\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12144 + -12134. Solve -28 + 8 = 4*i - 3*b, 5*i - w = -5*b for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225088851 a multiple of 591?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 198164 a multiple of 214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 36204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 1 - 4*3. Let y = s + 109. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -5*b - 260. Let p be v(-51). Suppose w = 2*w - 3. Put 1, 6, w, p in descending order.\nAnswer: 6, w, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31041244 - -3?\nAnswer: -31041241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.36 + -33.64. Let v = -33.99999846 - c. What is v rounded to seven dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) -134\/7 (c) -0.371\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 - 1\/(4\/(-24)). Solve 0 = 3*b + 5*l - 3, -4*b - p*l = -l + 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 + 2. Let s(l) = 4*l**2 + 5. Let c(p) = -5*q(p) + 2*s(p). Let i(f) = 3*f**2. Calculate i(c(b)).\nAnswer: 12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(45\/33)*(-235)\/(-141).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 6*t + 8. Let z be a(-7). Solve 4*o + z = -o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3.05 (b) -1\/6 (c) 3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 63?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -65 + 110. Let j be 22\/(0 + (-6)\/(-27)). Suppose -3*c = -3*t + j, -5*c = 4*t - 2*t - v. List the prime factors of t.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 107 - 66. Let b(d) = d + 2. Let k be b(-1). Are k and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 358 + 225. Suppose 3*u - 8704 = -c. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -147 - -866. List the prime factors of i.\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 52 = -4*w + 12, -4*u = 4*w - 48. Calculate the remainder when 78 is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**3 + 0*a**3 - 2*a**3)*(-a + 3*a - a).\nAnswer: -2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 22*y**2 - y - 1. Let o be r(-3). Let t = -142 + o. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -21*z**2 - 2*z + 0*z**4 + 0*z**5 - 38 + 43\/30*z**6 + 0*z**3. What is the derivative of o(g) wrt g?\nAnswer: 172*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/(-34) + 1585\/450 and -151\/234?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -32*l + 596. Let h be s(0). Let u = h + -126. What are the prime factors of u?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -5*o. Let z(a) = -a. Let k(r) = -b(r) + 4*z(r). Suppose -3*w + 4*g + g = -121, 196 = 4*w + 2*g. Let s(j) = -w*j - 2 + 2 + 48*j. What is k(s(p))?\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -116654000 to the nearest one million.\nAnswer: -117000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqq when three letters picked without replacement from qqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j = -3*j + 91 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.353 * 17.83402\nAnswer: 6.29540906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -4\/918885493?\nAnswer: -4\/918885493","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-24)\/5*((-4796)\/(-1419) - (-2)\/(-43)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 12:28 AM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 7.362189mm?\nAnswer: 0.000007362189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, j: 2, p: 1}. What is prob of picking 1 j and 1 p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5\/6 + 3\/2. Let q = -605.3 - -502.3. Is n greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*s + 804 = 20*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-15)\/(-9) + -1)*-3. Let l be 8*(b - -4)\/2. Suppose 0 = 5*a - l - 12, 2*r - 4*a + 14 = 0. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**4 - 584*f**3 + 360000*f**2 - 27713664*f - 56871936 = 0. Calculate f.\nAnswer: -408, -2, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 - 11*b**2 + 9*b + 10. Let w be i(10). Suppose 5*y - y - 8 = w. What is the third derivative of 6*s**2 - 2*s**4 - s**y + 3*s**4 wrt s?\nAnswer: 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13*(-39 + 118\/3)?\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/5)*((v**6*v)\/v)\/v*v*(v\/((v*(v**(-4)\/v*v*v)\/v)\/v))\/(v\/(v**(-1)*v*v*v)) assuming v is positive.\nAnswer: v**(59\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.125 + -0.125. Let d be ((-3)\/1)\/15*6. Let z = d - -27\/10. Which is the second biggest value? (a) z (b) s (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 304\/57*((-24)\/(-3) + (-13)\/2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 + 810. Is q a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 103 + -107. What is the common denominator of 0\/4 - (-25)\/7 and ((-6)\/4)\/(3\/a) + 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + -15. Suppose -4*p - 1 = 3*r, p - 13 = 3*p - r. Let m be (p - -3)\/(4\/l). Solve 4*s + m = -4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -847.9 + 848. What is the nearest to 0.06 in 16, -3, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 800250?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 1247*j**2. Let n(l) = -l**2. Give k(n(o)).\nAnswer: 1247*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*((-8)\/360)\/((-1)\/3)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -10*o - 5. Let w(r) = 4*r + 3. Let j(b) = -3*k(b) - 5*w(b). Let x(f) = 17*f**2. Calculate j(x(p)).\nAnswer: 170*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 11*f = 14 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3841254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 84037.\nAnswer: -5\/84037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 430 (base 13) to base 16.\nAnswer: 2cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 4*y - 7. What is the remainder when 62 is divided by t(3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -28*o**2 - 98*o + 44. Give m(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -5*d - 5*q + 29, q = -4*d + 38. Suppose 5*f = 3*u - 38, 0 = 2*u + u + 2*f - d. Solve s - u = -2*o - 2*s, -4*s + 25 = -3*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.402267 to three decimal places.\nAnswer: -0.402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204)*2*-4)\/sqrt(12) + -1.\nAnswer: -8*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 11 + 25 = 0. Let r = y - -24. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**1))**(-11) assuming i is positive.\nAnswer: i**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of 243*x**5\/10 - 49*x**4\/12 + 5*x**2 - 1718*x. What is the third derivative of f(r) wrt r?\nAnswer: 2916","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 859, 876, 965, 1162, 1503?\nAnswer: 2024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.21 + -0.2?\nAnswer: -14.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1990933537?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/5006 and ((104 + -3)\/(64\/16))\/(-1).\nAnswer: 10012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -5*t - 1. Let z(j) be the first derivative of -7*j**2 - 3*j - 80. Let a(h) = h**2 - 4*h + 3. Let c be a(5). Determine c*w(m) - 3*z(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((6*(1 + sqrt(637)) - sqrt(637)) + sqrt(637) + (sqrt(637) + (sqrt(637) - (sqrt(637)*2 - sqrt(637))))*3 - (-3 + sqrt(637)*-3 + -4))**2 + 2.\nAnswer: 2184*sqrt(13) + 91898","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1233012?\nAnswer: 2, 3, 11, 9341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164548*b - 4*g = 164549*b - 33, -4*g = -188*b + 3936 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -6*c + 29. Let g(d) = -19*d**3 + 47*d**3 + 5*d**2 - 17*d**3 - 6*d - 2. Is g(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45241?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + 0.8. Let y = n - -0.1. Let i = 0 - y. What is the smallest value in -2\/5, 2\/23, i?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -10185\nAnswer: 1\/2037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/111 + -208\/777. Let y = 0.7 + -17.3. Let l = -17 - y. What is the third biggest value in l, 1\/2, d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 10*i + 3 = 0. Is (-3)\/9*i*7063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14 - -3) + 34 + -34 + 77.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4244.20962 rounded to the nearest integer?\nAnswer: -4244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u + 4*u - 5*u - 2*u to d*u + t and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*v + 40*v - 23*v.\nAnswer: 39*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**4 - 3*n**4 + 5*n**4 + (0*n**4 - 3*n**4 + 0*n**4)*(-1 + 4 - 5))*(3*n - n + 0*n)*(128 - 469 + 177).\nAnswer: -1640*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (((-8)\/(-3))\/(-1) + 0)*1323\/(-98) and 48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - (10 - 2) - 3. Let t(k) = -19*k - 3. Let x be t(3). What is the units digit of x\/(-16) + (-2)\/f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.3 - -1.3. Let w = -246 - -246.05. Is c bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, y: 2, o: 2}. What is prob of sequence ll?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155 = 2*o + 5*t - 396, 490 = 4*o + 2*t. Suppose -7*a + 133 = -392. Let c = o - a. Does 12 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/2*u**2 - 81\/2*u + 0.\nAnswer: 3*u*(u - 27)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 1284 + 1264 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**3 - 4*q**3 - 2*q**3)*(0*q - 4*q + 3*q)*(-3*q + 3*q + q).\nAnswer: 3*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 1 - 11 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -111103, -443941, -998671, -1775293?\n\"Answer: -110946*h**2 - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -1 + 0*x**2 + 2\/3*x**3 + 1\/6*x**4 - 24*x + 1\/20*x**5 + 0*x**6 - 5\/6*x**7. What is the third derivative of w(u) wrt u?\nAnswer: -2100*u**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 134761.563s?\nAnswer: 1.5597403125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.009, -3\/2, -5, 0.09, -4, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -159.9999734 + 160. What is z rounded to 6 decimal places?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40377 divided by -3.\nAnswer: 13459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 54*r - 1 = -51*r, 0 = 3*j - 4*r + 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 33*h + 4. Let r(d) = 101*d + 11. Let j(s) = 4*r(s) - 11*z(s). Let k(n) = 10*n**2. Calculate k(j(q)).\nAnswer: 16810*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -77\/3, 0, 405?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 2:49 PM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/9795 (b) 4 (c) -2\/5 (d) 3 (e) 1\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*s + 5 - 5)*(-s**2 + s**2 - 3*s**2) - 2*s**3 - 2*s**3 + 3*s**3)*(8*s**2 + 20*s**2 - 231*s**2).\nAnswer: -1015*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25.4 + -25.363. Is y smaller than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that x**4\/5 + 7392*x**3\/5 + 18191658*x**2\/5 + 2970011432*x - 135129434067\/5 = 0.\nAnswer: -2467, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 54227 times -2?\nAnswer: -108454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 226417?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/9 + 281*u\/3 + 282.\nAnswer: -(u - 846)*(u + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 418 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 141, 274, 407?\nAnswer: 540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of 0 - s**2 + 7\/6*s**3 + 13\/12*s**4 + 0*s. Is w(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-36)\/168)\/((-11544)\/8288). Factor -42\/13*n - i*n**2 + 44\/13.\nAnswer: -2*(n - 1)*(n + 22)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135593900.\nAnswer: 2, 5, 13, 37, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -33*c**3 + 9*c + 5. Let o(j) = 20*j**3 + 10*j**2 - 3*j - 1. Let r(u) = -2*u**3 - 5*u**2 - u - 1. Let y(l) = -o(l) - 2*r(l). What is 3*s(v) - 5*y(v)?\nAnswer: -19*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 304998 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 + 2)*(-w + 1 - 2 + 5*w)*(-12267*w + 12267*w + 192*w**3) in the form p*w**2 + o*w**3 + k*w**4 + j + c*w and give o.\nAnswer: -768","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49499, 97341, 145183?\nAnswer: 193025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 316 = -17*r, 0 = 9*j - 10*j + 4*r - 25 + 95 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 599, 623, 665, 725, 803, 899?\nAnswer: 1013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from {y: 7, p: 5}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12131 (base 4) to base 9.\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 5:56 PM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25 is divided by 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 + 8\/(56\/315). Suppose 67*n - b*n - 4290 = 0. Is 13 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53040*z**5 - 21058*z**2.\nAnswer: 3182400*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31.68 + -45.2. Let r = -1.3 - -0.02. Let b = r + x. Round b to the nearest integer.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 5. Let h = -29 + 35. Suppose -2*i + 34 = -v*q, 5*i - q + h*q = 100. What are the prime factors of i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.545714 and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-9)*(-18)\/(-66)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 162809?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 443, 2\/5, -9\/38?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2446, 36266, 70096, 103942, 137810?\nAnswer: 171706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 593461 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a centimeter in millimeters?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6992 = -5*z + 14728. What is the greatest common divisor of z and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -131*q + 131*q + 142*q**3.\nAnswer: 142*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 - ((-10 - -14) + 3)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10761563 is divided by 16841?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4*i + 1. Let z(m) = -2*m. Let k(n) = d(n) + 2*z(n). Let l(g) = 7*g - 1. Determine -5*k(r) - 6*l(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(187)*-2*5 + sqrt(187) + sqrt(187) + sqrt(187) + (sqrt(187) - (-2*sqrt(187)*6 - sqrt(187))) + sqrt(187))\/(sqrt(704)*-2*-6).\nAnswer: sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166*p - 126*p + 70*p + 17 - 1 - 16.\nAnswer: -222*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 10. Suppose 0 = 4*c + 5*i - 130 + 2, l = 4*c - 4*i - 92. Suppose 9 + c = 4*u. Is u a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -u**7\/168 + u**6\/30 - u**5\/20 - u**4\/24 + 5*u**3\/24 - u**2\/4 + 50*u. Factor k(d).\nAnswer: -(d - 2)*(d - 1)**3*(d + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169575*m + 7276 = 169507*m for m.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/9)\/(3\/(45\/1)). Sort -3, -1, n in ascending order.\nAnswer: n, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/168)\/((-6)\/4).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 430134?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + 78?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 1\/3 (c) 3 (d) 6 (e) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34410580511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -84 - -87. Sort a, -19, 14.\nAnswer: -19, a, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*r - 4*t, -99 = -4*r - t - 103. Let n(l) = 1. Let o(b) = -2*b**2 + 14. Determine r*o(h) + 5*n(h).\nAnswer: 2*h**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 20*p**3 + p**2 + p + 5. What is the units digit of k(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 8 = 0, 4*s + 4 = -0*s - 4*f for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gaqrq. Give prob of sequence gg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + sqrt(153)) + sqrt(153) + (-5 + sqrt(153) + sqrt(153) + -2 - sqrt(153)).\nAnswer: -1 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1298639440 a multiple of 560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*m + 207. Let i be 1\/(-4) - m\/(-8). Let d = 1 + i. Calculate the smallest common multiple of 10 and d.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.1 (b) -0.3 (c) 35\/21459\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -o**3 + 123. Let z(x) = 4*x**2. Give v(z(h)).\nAnswer: -48*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z\/z**7)\/z))\/(z**12*z)*(z*z**(-2\/7)\/z)**(-1\/13) assuming z is positive.\nAnswer: z**(-453\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -544 + -241?\nAnswer: -785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(76)*-3 - 5*(sqrt(76) + -1))**2*6 + 0)*-4 + -5.\nAnswer: -221309 + 5280*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 323074?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0 (b) 2 (c) -3 (d) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3434 and 189312.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.7809659 to one dp.\nAnswer: 7.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 218705021*i**2 - 736*i + 163367.\nAnswer: 437410042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 901 = -4*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2223, -8341, -18355, -32265, -50071?\nAnswer: -71773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 7*h + 7. Let n(a) = 4*a + 4. Give 5*n(s) - 2*o(s).\nAnswer: 6*s + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(3) - (sqrt(12)*-1)\/sqrt(4)) - ((1*sqrt(108))**2 - sqrt(108)).\nAnswer: -111 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -63 - 4. Let k be l\/(-4) + 10\/40. Let r(d) = 14*d**2. Let p(x) = -5*x**2. Let w(y) = k*p(y) + 6*r(y). Let i(g) = 14*g**2. Give i(w(b)).\nAnswer: 14*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k. Let h(j) = 122*j**2. Give m(h(l)).\nAnswer: -244*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 67832647*n**4 - 13096423?\nAnswer: 271330588*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103683613629 - 103683613629 + 7*u**3.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -132, -332, -664, -1128, -1724, -2452?\n\"Answer: -66*p**2 - 2*p - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 57 (b) 2\/9 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3405 + 3493. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 180106386?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + sqrt(104) + -1*sqrt(104)*-1 - sqrt(104) - sqrt(104) - sqrt(104))\/(sqrt(48)\/(sqrt(6)*-2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u - 1. Let f be n(0). Let k be f + 1 - 2 - -4. Differentiate 2*h**3 + k + 2*h - 2*h with respect to h.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3\/5 + 22251*y**2\/5 - 1028307*y\/5 + 11843781\/5.\nAnswer: 3*(y - 23)**2*(y + 7463)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 115 - 197. Let z be (-8)\/32 + a\/(-8). What is the highest common divisor of 100 and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 10:20 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (63\/11340*-30)\/((-2)\/(-4))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.033*3536.\nAnswer: 116.688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**2 - 8670*u + 930925 = 0 for u.\nAnswer: 115, 1619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + j**2 - j - 9. Determine q(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -31407 equal to -26312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + y - 41 = 0, 0*a + 13*a + 339 = -2*a + 57*a + 2*y + y for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 30, 39, 42, 39?\n\"Answer: -3*u**2 + 18*u + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 7*u**2 + 6*u - 1. Does 13 divide d(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of 6*i**5\/5 - 7*i - 4. Differentiate w(h) wrt h.\nAnswer: 24*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18635*r**3 + 105*r + 114?\nAnswer: -111810*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 1:33 AM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -28842, -57685, -86528, -115371?\n\"Answer: -28843*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/16218 and 1\/21778071?\nAnswer: 130668426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 0 + (0 - -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-28)*2\/18?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and 8.394.\nAnswer: -75.546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -8 - 9*j - 15 - 7 + 26. Let d = -14 - -20. Let b(r) = 19*r + 9. Suppose 63*a - 123 - 696 = 0. Give a*q(z) + d*b(z).\nAnswer: -3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.670394 to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 289 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -5*o - 21, 3*h - 3*o + 4*o = 7. Suppose -4 = h*p - 16. Find the third derivative of -2*j**5 + 3*j**5 + 0*j**2 + p*j**5 + 2*j**2 wrt j.\nAnswer: 240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -23*n - 7. Let x be q(-2). Suppose -b - 4*v - 6 = 0, 15 = 2*b + 2*v - 3*v. Let o be 4\/(-5)*(-195)\/b. Calculate the highest common divisor of o and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - -1.8. Let l be (7 - (-96)\/(-15))\/(2 + (-174)\/60). Sort l, 23, n, -0.2.\nAnswer: l, -0.2, n, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*r = 0. Suppose -4*g + n + 34 = r, 3*n = -2*n + 10. What is the greatest common factor of g and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 - 14. Let b be 4290 + a\/(5 - 1). Suppose 0 = 5*u - 45790 + b. What is u rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*o**3 - 6*o**3 - 12*o**3 - 35*o**3 + 38*o**3.\nAnswer: -30*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.461 * -0.4.\nAnswer: -0.1844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47150 + 94589. Is 33 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7615000 rounded to the nearest 100000?\nAnswer: 7600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/37)\/z)\/z*z*z**0*(z**(3\/5)*z*z)**(-2\/9))**(1\/10) assuming z is positive.\nAnswer: z**(-2717\/16650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -50*g + 17. Let c(v) = 17*v - 6. Let i(h) = 17*c(h) + 6*t(h). What is the units digit of i(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4689?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7534 + 11666. Round l to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 208, -72191, 0.4?\nAnswer: -72191","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -15*i + 4. Let l(s) = -14*s + 5. What is 5*d(a) - 4*l(a)?\nAnswer: -19*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (205 + 204 - 322)*(2*f - 2*f - 3*f**2)*(-2 - 2 + 1).\nAnswer: 783*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48 + 77. Let z = k + -25. Suppose -h = z*h - 220. List the prime factors of h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*d - 5*z + 19, 6 = -4*z + 26 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 105 - 132. Let r be (-3)\/((-76)\/144 - (-6)\/z). Is 7 a factor of r*7*(-3 - -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37242161?\nAnswer: 4","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 nneene?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1586 - 1583. Let n(a) be the first derivative of -14\/9*a**s - 6*a - 1\/6*a**4 - 5*a**2 - 8. What is q in n(q) = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 9*q**2 - 5*q - 5. Let t(a) = -a**2 + a + 1. Suppose 20 = -3*c + 35. Give c*t(n) + k(n).\nAnswer: n**3 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-178)\/18*(-4581)\/(-509)*(-4)\/(-4)\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25, -100, -229, -412, -649?\nAnswer: -940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1143354504?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -9a (base 13) in base 11?\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 40\/6 - (-3)\/9. Let v(c) = c**3 - 5*c**2 + c - 2. Let y be v(5). Suppose g = r - y. Solve 7*k = g*k + 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 146*d**3*i**3 - 2*d**3 - 3*d**2*i**2 + 7*i**2 wrt i?\nAnswer: 876*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*b - 19 = 0, b + 18 = -4*w + 2*b. Let s(p) be the first derivative of -p**4 - 8*p**3\/3 - 2*p**2 - 6*p - 2. Is s(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1405353062 a multiple of 515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 8640.\nAnswer: 8640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 228842 is divided by 1370?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -3*s**2. Let d(c) = c - 35085. Give d(q(z)).\nAnswer: -3*z**2 - 35085","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3*x = -0*x + 132, -2*b - x = -89. Let k = b + 0. What is the derivative of 45*n + 1 + 4*n**2 - k*n wrt n?\nAnswer: 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/40 of a micrometer?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -4*i - 13, 3*i + 11*j = 12*j. Put 2, i, -0.88, -1\/3 in increasing order.\nAnswer: i, -0.88, -1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 75*x - 10. Suppose -3*i = 2*i + 5*s + 20, 4*i = 4*s + 24. Let m be j(i). What is the highest common divisor of m and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1274 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 17496073 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 29816.2438 to the nearest 100.\nAnswer: 29800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -998*q + 245*q + 49*q. Let m(v) = -19*v**2. What is y(m(s))?\nAnswer: 13376*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17509711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/(-18) + (-70)\/3. Let v = -18 - z. Is 4 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 6*z**2. Let p(i) = -3445*i - 1. Determine c(p(l)).\nAnswer: 71208150*l**2 + 41340*l + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -6*p + 153. Let o be 1 - (1 - 4\/p). Let u be 9\/(-21)*(-42)\/12. Sort -0.2, o, 0, u in ascending order.\nAnswer: -0.2, 0, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 6 = -3*q, h - 4 = -3*q + 5 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than -330?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -602\/46719 - -629597156\/8175825. Let q = 77 - h. Is -1 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16360 in 0.03, -3, -1\/3, 2, -27?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 248 + -1733\/7. Let v = -4 - -2. Let g be (1\/v)\/((-4)\/6). Which is the second biggest value? (a) 5 (b) g (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (27\/2)\/(6\/5*110\/5368). Which is smaller: 546 or w?\nAnswer: 546","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -5*m - 3. Let p be q(-3). Suppose -p = 3*u, -4*h + u = 5*u - 20. Suppose -8*f + h = -7. What is the lowest common multiple of 10 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z + 39. Let q(x) = 6*x - 79. Let l(n) = -5*f(n) - 3*q(n). Suppose 114 + 96 = 15*k. Let s be l(k). Solve 5*m + 0*m - 10 = s for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 226796 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/7 - 170*f**2\/7 - 319*f - 1092.\nAnswer: -(f + 7)**2*(f + 156)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(108) - (sqrt(108)*-3*-2 + sqrt(108)) - (2*-3*sqrt(108) + sqrt(108)))**2 + 3 + 3.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -102\/66163093 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6201.791 micrograms in milligrams?\nAnswer: 6.201791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 0*q**4 - 2 + 1\/60*q**5 + 0*q - q**2 + 0*q**3. Let u(s) be the second derivative of v(s). Let g(b) = b**2. Give u(g(d)).\nAnswer: d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h + 57 = -27*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/150 and 15\/2.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, 1, 9.38, -3, -5\/4.\nAnswer: -3, -5\/3, -5\/4, 1, 9.38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 45 - 45 - (11 + -81 + (1 - 0)). Sort 0, h, 3, -1, -2.\nAnswer: -2, -1, 0, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -v**5\/4 - 205*v**4\/12 - 395*v**3\/6 - 195*v**2\/2 + 34*v + 3. Factor s(a).\nAnswer: -5*(a + 1)**2*(a + 39)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a meter in millimeters?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-21)\/7)\/(1\/2). Let s be -4 + 7 - n\/2. Suppose 25 = 5*b, -w + s*b + 24 = b. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z + 5*z + 6*z**3 - 2167 + 2168. Suppose -k = -0*k + 3. Let h be ((-2)\/k)\/((-2)\/3). What is i(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 4*s + 93, -5*x - 4*s + 79 = -s. Suppose -5 = 4*g + 19. Let m = x + g. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 minus 532.09738652?\nAnswer: -524.09738652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -8540*g**2 - 2. Let x(p) = -2*p - 2. Calculate f(x(t)).\nAnswer: -34160*t**2 - 68320*t - 34162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 201*v + 1937. Calculate o(-10).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-5)*(1475\/(-15))\/((-28)\/(-210)*5).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 - 8*x + 9. What is a(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13151 - -10301?\nAnswer: 23452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 10:51 PM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g. Let k(u) = -91*u + 2. Give k(h(f)).\nAnswer: 91*f + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**3 + 10 + 0 - 3*c**3 - 12 - 4*c - 2*c**2 - 3*c as y + x*c**2 + a*c + s*c**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 25*g - 15. Let c(w) = -w**3 + 18*w + 12. Let j(k) = 4*c(k) + 3*f(k). Let b(l) = -1 - 1 - l**3 - l + 3. Calculate -3*b(m) + j(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - ((sqrt(102) - (sqrt(102) + 4*1*sqrt(102) + sqrt(102))) + sqrt(102)))\/(sqrt(96)*-4))**2.\nAnswer: 425\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 13, k: 6}. What is prob of picking 2 k and 1 p?\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 2392*w - 2400*w + 4814*w.\nAnswer: 22*w + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(3\/25)\/z)**(-33)\/((z**(-10)*z*z)\/z)**(2\/23) assuming z is positive.\nAnswer: z**(-1827\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 42939, 171768, 386487, 687102, 1073619, 1546044, 2104383?\n\"Answer: n**3 + 42939*n**2 + 5*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - (13 - 12)) + 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 1 = 3*x - 2, -5*k + 4*x + 8 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2)\/p*p)\/(p\/((p**(-1\/14)*p)\/p)))**(1\/33) assuming p is positive.\nAnswer: p**(-43\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 1, -12, -6426, -4\/5, 0.5?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of p**8\/224 + p**7\/56 + p**6\/40 + p**5\/80 + 11*p**2. Let g(l) = 0. What is l?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23268793773758 + 0.3.\nAnswer: -23268793773757.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 359*a = 2036 - 5497 - 2283 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11*(170\/80)\/(-17)*-8\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -1\/2*u**3 + 8 + 0*u**2 - u. Give l(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94419.33 meters to kilometers.\nAnswer: 94.41933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3875?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q - 10. Let s be v(-13). Let a be 2\/(-4) + 5\/10. Suppose -4*x - 3*z + 5 = a, 2*z + 25 = 3*x - 0*z. Sort x, -5, s.\nAnswer: -5, s, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 14992, 27819, 40648, 53479, 66312, 79147?\n\"Answer: w**2 + 12824*w + 2167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 8*s**2 + 160*s + 5. Let k be h(-20). Calculate the least common multiple of 8 and 156\/7*k\/(-20)*-14.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/((-1309)\/(-22)))\/((-14)\/245).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2998 a factor of 71388376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x - x + 0*x)*(3 + 2 - 3) + 0 + 3*x + 0 + 3*x + x - 2*x + (3*x - 4*x - x)*(-1 - 2 + 2) + 3*x + 0*x - 2*x in the form d + r*x and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847)*1*5 - -3*(sqrt(847) + 1) - (sqrt(847)*3 + 4)*4)**2*-5.\nAnswer: -68605 - 5720*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2437 - 2404. Solve -a + 2 = 3*x, 5*a - o + 23 = -x for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -194085083 times 4?\nAnswer: -776340332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -366511 (base 7) to base 5\nAnswer: -4122023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.973444498107 and -0.4.\nAnswer: 1.573444498107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 92?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 7*u - 39. What is n(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 13, p: 6}. What is prob of picking 2 g and 1 p?\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.3037 years in decades?\nAnswer: 0.73037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2384732243 to the power of 1\/2, to the nearest integer?\nAnswer: 48834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.00943 and -56291.27.\nAnswer: -56291.26057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - y = -114, -288 = 3*l + 2*l - 4*y. Let f = l - -78. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 10*s + 8. Let q be d(-10). Suppose -8*w = -7*w - q. Calculate the remainder when 38 is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4134 - -3?\nAnswer: 4142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5054 - 5513444?\nAnswer: -5504350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 22 = 4*i - 534, 4*f - 1988 = -i. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 28*m - 123. Let y be v(6). Is 19 a factor of (-9)\/(y\/7)*-45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 35415130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 44 = o, -2*c + 8 = -3*c - 4*o. Let r(w) = w**3 - 7*w**2 - 9*w - 4. Let u be r(c). Let t = -3 - u. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 25a - -3?\nAnswer: 25d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 526387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2515, 302, -1911?\nAnswer: -4124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -26.3, 0.7, 3\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1003220302 - -20?\nAnswer: 1003220322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -364*b - 26*b = 118*b + 206*b - 48*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 + 6 + z + (-30 + 7 - 12)*(0*z + 0*z + 2*z) in the form t + n*z and give n.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 6*f**2 + 25*f + 3. Determine v(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + -2 + sqrt(288) - ((sqrt(288) + (sqrt(288)*-1 - sqrt(288))*5)**2 + sqrt(288))).\nAnswer: -116655","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.429 + -1.571. Sort f, -1, 2\/29, 1 in decreasing order.\nAnswer: 1, 2\/29, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s = -1316207 + 2679113. Suppose 0 = 4*v - 361094 - s. What is v rounded to the nearest ten thousand?\nAnswer: 430000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 0. Let a be (2\/4 - (14 - 870\/60))*3. Solve p = 2*f + a for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*x + 459 = -1953 - 684 - 144 for x.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 + 2 - 6)*(-5 + 5*x + 5) - 2*x - x + 5*x)*(-421*x + 326*x + 375*x) in the form n*x + i*x**2 + l and give i.\nAnswer: -840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 18 = 33. Suppose -2*y = -a + 13, 4*a + v*y = -0*y + 65. Let m = a - 0. Solve 2*k + m = 5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j - 1821 - 12624 = 0. What is the greatest common factor of 107 and j?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 7*r**2 - 12*r + 7. Let v be f(3). Let x = -31 + v. Solve -i + x = 0, -5*i = 3*m - 28 - 2 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 5*y**2 - 226*y + 2649. Calculate s(13).\nAnswer: 556","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (1 - 39)*(1 - 23\/24) and -45\/46.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 7980.\nAnswer: 23940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 1 + 3, -4*u - 8948 = -4*z. Suppose -4*s - 11*s + z = 0. Calculate the remainder when s is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222*l**2 + 63*l + 110*l**2 - 5*l - 10*l - 48*l.\nAnswer: 332*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5e0 + 1?\nAnswer: 5e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -105*v - 814. What is the remainder when 191 is divided by r(-9)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1\/6))\/(h\/h**38))\/(h**(-2\/19))**3 assuming h is positive.\nAnswer: h**(4349\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 1 + 5, 0 = -x + 4*s + 18. Let v = x - 2. Suppose -4*k = v*a - 4, -3*a + 4*k + 45 = 7. Solve -a*r = -r + 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26 and 14339?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)\/(sqrt(20)\/sqrt(5)*1))\/(sqrt(36)*-1*3).\nAnswer: -sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}